Gr 11 Math Ch 6 SUM: Trigonometry

What is the purpose of trigonometric identities?

To simplify a given expression so that it contains sine and cosine ratios only

What is the quotient identity for tangent in terms of sine and cosine?

tan θ = sin θ / cos θ

Why is tan θ undefined when θ = k × 90°, where k is an odd integer?

Because cos θ = 0

What is the square identity, also known as the Pythagorean identity?

sin² θ + cos² θ = 1 Signup and view all the answers

What is the first step in proving an identity?

Change all trigonometric ratios to sine and cosine Signup and view all the answers

What is another form of the square identity?

sin² θ = 1 - cos² θ Signup and view all the answers

Why is it usually better to choose the more complicated side of the equation to simplify?

Because it is usually closer to the desired form Signup and view all the answers

What is the benefit of using trigonometric identities?

They enable us to simplify a given expression so that it contains sine and cosine ratios only Signup and view all the answers

What is the purpose of replacing 1 with sin^2 θ + cos^2 θ when simplifying trigonometric expressions?

To make simplifying easier Signup and view all the answers

Which trigonometric identity is defined for all values of θ, except where cos θ = 0?

tan θ = sin θ / cos θ Signup and view all the answers

What is the alternative form of the square identity sin^2 θ + cos^2 θ = 1?

sin^2 θ = 1 - cos^2 θ Signup and view all the answers

What is the reduction formula for sin(180° - θ)?

sin θ Signup and view all the answers

What is the purpose of using the square root sign in trigonometric expressions?

To indicate that we need to use the square identity Signup and view all the answers

What is the reduction formula for cos(180° - θ)?

-cos θ Signup and view all the answers

What is the condition for the quotient identity tan θ = sin θ / cos θ to be defined?

cos θ ≠ 0 Signup and view all the answers

Which of the following is a trigonometric identity?

tan θ = sin θ / cos θ Signup and view all the answers

If point P has coordinates (√3, 1), what are the coordinates of P' if P and P' are symmetrical about the origin?

(-√3, -1) Signup and view all the answers

What is the value of sin(180° + θ)?

-sin θ Signup and view all the answers

If points P and P' are symmetrical about the x-axis, what are the coordinates of P'?

(x, -y) Signup and view all the answers

What is the value of cos(-θ)?

cos θ Signup and view all the answers

What is the value of tan(360° - θ)?

-tan θ Signup and view all the answers

What is the value of sin(90° - θ)?

cos θ Signup and view all the answers

What is the value of cos(90° + θ)?

-sin θ Signup and view all the answers

What is the relationship between sin(90° - θ) and cos θ?

sin(90° - θ) = cos θ Signup and view all the answers

How can sin 54° be expressed as a trigonometric ratio of 36°?

cos 36° Signup and view all the answers

What is the general formula for sin(180° ± θ)?

± sin θ Signup and view all the answers

In which quadrant is the sine function positive?

Quadrant II only Signup and view all the answers

What is the general solution for the equation (\tan \theta = x) in degrees?

(\theta = \tan^{-1} x + k \cdot 180^\circ) Signup and view all the answers

In which quadrants are the cosine and tangent functions both positive?

Quadrant I only Signup and view all the answers

What is the general solution for the equation (\cos \theta = x) in degrees?

(\theta = \cos^{-1} x + k \cdot 360^\circ) or (\theta = 360^\circ - \cos^{-1} x + k \cdot 360^\circ) Signup and view all the answers

In which quadrants are the sine and cosine functions both negative?

Quadrant III and Quadrant IV Signup and view all the answers

What is the first step in solving a trigonometric equation?

Use a calculator to find the reference angle. Signup and view all the answers

What is the formula for the area of a triangle ABC in terms of side a and angle C?

Area of triangle ABC = 1/2 ac sin C Signup and view all the answers

Which trigonometric identity is useful for solving triangles when we know two sides and the included angle?

The Cosine Rule Signup and view all the answers

What is the purpose of the CAST diagram in solving trigonometric equations?

To determine the quadrants where the trigonometric function is positive or negative Signup and view all the answers

What is the formula for the sine rule?

sin A / a = sin B / b = sin C / c Signup and view all the answers

What is the general solution to a trigonometric equation?

The solution within the interval [0°; 360°] plus multiples of the period Signup and view all the answers

What is the formula for the cosine rule in terms of side a and angle A?

a^2 = b^2 + c^2 - 2bc cos A Signup and view all the answers

When solving a trigonometric equation, what is the purpose of checking the solution using a calculator?

To ensure the solution satisfies the original equation Signup and view all the answers

What is the formula for the area of a triangle ABC in terms of side b and angle A?

Area of triangle ABC = 1/2 bc sin A Signup and view all the answers

When solving a quadratic trigonometric equation, what is the first step?

Simplify the equation and determine the reference angle Signup and view all the answers

What is the main advantage of using trigonometric identities?

To simplify complex trigonometric expressions Signup and view all the answers

Which of the following is NOT a step in proving an identity?

Differentiate both sides of the equation with respect to theta Signup and view all the answers

What is the value of sin^2 θ + cos^2 θ?

1 Signup and view all the answers

Why is tan θ undefined when θ = k × 90°, where k is an odd integer?

Because cos θ is zero Signup and view all the answers

What is the alternative form of the square identity sin^2 θ + cos^2 θ = 1?

sin^2 θ = 1 - cos^2 θ Signup and view all the answers

What is the main purpose of the quotient identity?

To express tangent in terms of sine and cosine Signup and view all the answers

What is the benefit of using the quotient identity?

It allows us to express tangent in terms of sine and cosine Signup and view all the answers

What is the condition for the quotient identity to be defined?

θ ≠ k × 90°, where k is an odd integer Signup and view all the answers

What is the condition under which the quotient identity tan θ = sin θ / cos θ is defined?

cos θ ≠ 0 Signup and view all the answers

Which of the following is a result of the square identity?

sin^2 θ + cos^2 θ = 1 Signup and view all the answers

What is the value of sin(180° + θ)?

-sin θ Signup and view all the answers

If points P and P' are symmetrical about the y-axis, what is the coordinate of P' if P is (x, y)?

(-x, y) Signup and view all the answers

What is the purpose of replacing 1 with sin^2 θ + cos^2 θ in trigonometric expressions?

To simplify the expression Signup and view all the answers

What is the value of tan(180° - θ)?

-tan θ Signup and view all the answers

What is the result of using the square identity to simplify sin^2 θ + cos^2 θ?

1 Signup and view all the answers

What is the purpose of multiplying by a suitable fraction to simplify a trigonometric expression?

To simplify the expression Signup and view all the answers

What is the value of sin(360° + θ)?

sin θ Signup and view all the answers

If points P and P' are symmetrical about the y-axis, what are the coordinates of P'?

(-x, y) Signup and view all the answers

What is the value of cos(90° + θ)?

-sin θ Signup and view all the answers

What is the value of tan(180° + θ)?

tan θ Signup and view all the answers

What is the value of sin(-θ)?

-sin θ Signup and view all the answers

What is the relationship between sin(90° - θ) and cos θ?

sin(90° - θ) = cos θ Signup and view all the answers

What is the value of cos(360° - θ)?

cos θ Signup and view all the answers

How can cos 54° be expressed as a trigonometric ratio of 36°?

cos 54° = sin 36° Signup and view all the answers

What is the general formula for sin(180° ± θ)?

sin(180° ± θ) = -sin θ Signup and view all the answers

What is the value of tan(90° - θ)?

tan θ Signup and view all the answers

In which quadrants is the tangent function positive?

Quadrant I and Quadrant III Signup and view all the answers

What is the general solution for the equation (\sin \theta = x) in degrees?

Both (\theta = \sin^{-1} x + k \cdot 360^\circ) and (\theta = 180^\circ - \sin^{-1} x + k \cdot 360^\circ) Signup and view all the answers

What is the general solution for the equation (\cos \theta = x) in degrees?

Both (\theta = \cos^{-1} x + k \cdot 360^\circ) and (\theta = 360^\circ - \cos^{-1} x + k \cdot 360^\circ) Signup and view all the answers

In which quadrant is the cosine function positive?

Quadrant I and Quadrant IV Signup and view all the answers

What is the purpose of the identities and rules in trigonometry?

To simplify trigonometric expressions and evaluate trigonometric functions. Signup and view all the answers

What is the general solution for the equation (\tan \theta = x) in degrees?

(\theta = \tan^{-1} x + k \cdot 180^\circ) Signup and view all the answers

Which trigonometric rule is used to find the area of a triangle when no perpendicular height is given?

Area rule Signup and view all the answers

What is the first step in solving a trigonometric equation?

Simplify the equation and determine the reference angle. Signup and view all the answers

Which trigonometric identity is used to express trigonometric functions in terms of acute angles?

Reduction formula Signup and view all the answers

What is the purpose of the CAST diagram in solving trigonometric equations?

To determine the quadrants where the trigonometric function is positive or negative. Signup and view all the answers

What is the formula for the sine rule?

c/ cosC = b/ cosB = a/ cosA Signup and view all the answers

What is the general solution to a trigonometric equation?

The solution is the angle that satisfies the equation plus multiples of the period. Signup and view all the answers

Which trigonometric rule is used to find the side of a triangle when two sides and the included angle are given?

Cosine rule Signup and view all the answers

What is the purpose of checking the solution using a calculator in solving trigonometric equations?

To ensure the solution satisfies the original equation. Signup and view all the answers

What is the formula for the cosine rule in terms of side a and angle A?

a^2 = b^2 + c^2 - 2bc cosA Signup and view all the answers

In which quadrants is the tangent function positive?

Quadrant III only Signup and view all the answers

What is the general solution for the equation sin θ = x?

θ = sin⁻¹ x + k ⋅ 360° or θ = 180° - sin⁻¹ x + k ⋅ 360° Signup and view all the answers

In which quadrants are both the sine and cosine functions negative?

Quadrant III and Quadrant IV Signup and view all the answers

What is the general solution for the equation tan θ = x?

θ = tan⁻¹ x + k ⋅ 90° Signup and view all the answers

In which quadrants is the cosine function positive?

Quadrant I and Quadrant IV Signup and view all the answers

What is the general solution for the equation cos θ = x?

θ = cos⁻¹ x + k ⋅ 360° or θ = 360° - cos⁻¹ x + k ⋅ 360° Signup and view all the answers

In which quadrants is the sine function negative?

Quadrant III and Quadrant IV Signup and view all the answers

What is the purpose of the CAST diagram in trigonometry?

To identify the quadrants in which trigonometric functions are positive or negative Signup and view all the answers

What is the general formula for the solution of a trigonometric equation?

θ = f⁻¹ x + k ⋅ 360° Signup and view all the answers

In which quadrants are both the sine and tangent functions positive?

Quadrant I only Signup and view all the answers

What is the trigonometric identity that can be derived using the Pythagorean theorem?

sin^2 θ + cos^2 θ = 1 Signup and view all the answers

Why is it necessary to change all trigonometric ratios to sine and cosine when proving an identity?

To ensure all trigonometric ratios are in the same form Signup and view all the answers

What is the result of simplifying the expression (y/r) / (x/r) in terms of sine and cosine?

sin θ / cos θ Signup and view all the answers

What is the advantage of using trigonometric identities when solving equations?

It allows us to simplify the expression and solve the equation more easily Signup and view all the answers

What is the result of simplifying the expression (y^2 + x^2) / r^2 in terms of sine and cosine?

sin^2 θ + cos^2 θ Signup and view all the answers

What is the purpose of proving trigonometric identities?

To simplify trigonometric expressions Signup and view all the answers

What is the result of simplifying the expression sin^2 θ + cos^2 θ in terms of sine and cosine?

1 Signup and view all the answers

Why is it usually better to choose the more complicated side of the equation to simplify when proving an identity?

To ensure that the identity is true for all values of θ Signup and view all the answers

If point P has coordinates (√3, 1), what are the coordinates of P' if P and P' are symmetrical about the y-axis?

(-√3, 1) Signup and view all the answers

What is the value of sin(360° + θ)?

sin θ Signup and view all the answers

If points P and P' are symmetrical about the line y = x, what are the coordinates of P'?

(y, x) Signup and view all the answers

What is the reduction formula for cos(90° + θ)?

-cos θ Signup and view all the answers

What is the value of cos(180° - θ)?

-cos θ Signup and view all the answers

If points P and P' are symmetrical about the x-axis, what is the value of sin(θ) in terms of P'?

-sin θ Signup and view all the answers

What is the reduction formula for tan(90° + θ)?

-tan θ Signup and view all the answers

What is the value of sin(180° + θ)?

-sin θ Signup and view all the answers

What is the relationship between cos(90° - θ) and sin θ?

cos(90° - θ) = sin θ Signup and view all the answers

What is the value of tan(360° - θ)?

-tan θ Signup and view all the answers

What is the purpose of using the identity sin^2 θ + cos^2 θ = 1 in simplifying trigonometric expressions?

To make the simplification process easier and more efficient. Signup and view all the answers

What is the correct form of the reduction formula for tan(180° - θ)?

tan(180° - θ) = -tan θ Signup and view all the answers

What is the result of multiplying both sides of the equation by a suitable fraction, such as 1 + sin θ/1 + sin θ?

The equation becomes simpler and easier to solve. Signup and view all the answers

What is the purpose of using the square root sign in trigonometric expressions?

To indicate that the expression needs to be simplified. Signup and view all the answers

What is the result of replacing 1 with sin^2 θ + cos^2 θ in a trigonometric expression?

The expression becomes simpler and easier to solve. Signup and view all the answers

What is the purpose of using the quotient identity in trigonometry?

To simplify trigonometric expressions. Signup and view all the answers

What is the condition under which the quotient identity tan θ = sin θ/cos θ is defined?

cos θ ≠ 0 Signup and view all the answers

What is the result of adding sin^2 θ to both sides of the equation sin θ = 1?

The equation becomes simpler and easier to solve. Signup and view all the answers

What is the general solution for the equation sinθ = x in degrees?

θ = sin^(-1) x + k · 360^° Signup and view all the answers

In which quadrant is the cosine function positive?

Quadrant I and Quadrant IV Signup and view all the answers

What is the general solution for the equation tanθ = x in degrees?

θ = tan^(-1) x + k · 180^° Signup and view all the answers

In which quadrant is the sine function negative?

Quadrant III and Quadrant IV Signup and view all the answers

What is the general solution for the equation cosθ = x in degrees?

θ = 360^° - cos^(-1) x + k · 360^° Signup and view all the answers

What is the value of sin(90° - θ) cos(90° + θ) tan θ?

-sin^2 θ Signup and view all the answers

If tan θ = 5, what is the value of θ in the first quadrant?

arctan(5) Signup and view all the answers

What is the general solution to the equation sin θ = 1/2?

30° + 180°k Signup and view all the answers

What is the formula for the area of a triangle ABC in terms of side a and angle B?

1/2 ac sin B Signup and view all the answers

What is the purpose of the CAST diagram in solving trigonometric equations?

To determine the quadrants where the trigonometric function is positive or negative Signup and view all the answers

What is the formula for the cosine rule in terms of side a and angle B?

b^2 = a^2 + c^2 - 2ac cos B Signup and view all the answers

When solving a quadratic trigonometric equation, what is the first step?

Simplify the equation Signup and view all the answers

What is the general solution to the equation tan θ = x in degrees?

tan^(-1)(x) + 360°k Signup and view all the answers

Which trigonometric identity is useful for solving triangles when we know two sides and the included angle?

Cosine rule Signup and view all the answers

What is the formula for the sine rule?

sin A/a = sin B/b Signup and view all the answers

In which quadrant is the tangent function positive?

Quadrant III Signup and view all the answers

What is the general solution to the equation ( \sin \theta = x ) in degrees?

( \theta = \sin^{-1} x + k \cdot 360^\circ ) Signup and view all the answers

Which of the following trigonometric functions is positive in Quadrant II?

Sine only Signup and view all the answers

What is the general solution to the equation ( \cos \theta = x ) in degrees?

( \theta = \cos^{-1} x + k \cdot 360^\circ ) Signup and view all the answers

In which quadrant are the sine and tangent functions both positive?

Quadrant I Signup and view all the answers

What is the implication of the square identity sin^2 θ + cos^2 θ = 1?

All trigonometric identities can be derived from this identity Signup and view all the answers

If sin(180° - θ) = sin θ, what can be said about the angle 180° - θ?

It is symmetrical about the y-axis Signup and view all the answers

What is the purpose of using the identity sin^2 θ + cos^2 θ = 1 in simplifying trigonometric expressions?

To simplify the expression by reducing the number of terms Signup and view all the answers

If tan θ = -tan(180° - θ), what can be said about the angle 180° - θ?

It is symmetrical about the y-axis Signup and view all the answers

What is the implication of the quotient identity tan θ = sin θ / cos θ?

tan θ is undefined when cos θ = 0 Signup and view all the answers

If cos(180° + θ) = -cos θ, what can be said about the angle 180° + θ?

It is symmetrical about the y-axis Signup and view all the answers

What is the purpose of using the reduction formula for sin(180° - θ)?

To simplify trigonometric expressions Signup and view all the answers

What is the implication of the identity sin^2 θ = 1 - cos^2 θ?

sin θ and cos θ are related by a quadratic equation Signup and view all the answers

What is the value of cos(360° + θ)?

cos θ Signup and view all the answers

If P has coordinates (√3, 1), what are the coordinates of P' if P and P' are symmetrical about the line y = x?

(1, √3) Signup and view all the answers

What is the value of sin(90° + θ)?

cos θ Signup and view all the answers

If points P and P' are symmetrical about the x-axis, what is the value of tan(360° - θ)?

-tan θ Signup and view all the answers

What is the value of cos(-θ)?

cos θ Signup and view all the answers

What is the value of sin(180° - θ)?

sin θ Signup and view all the answers

If points P and P' are symmetrical about the origin, what are the coordinates of P' if P has coordinates (√3, 1)?

(-√3, -1) Signup and view all the answers

What is the value of sin(360° - θ)?

-sin θ Signup and view all the answers

What is the value of cos(90° - θ)?

sin θ Signup and view all the answers

What is the value of tan(180° + θ)?

-tan θ Signup and view all the answers

What is the first step in solving a trigonometric equation when no interval is given?

Determine the general solution using the periodicity of trigonometric functions. Signup and view all the answers

What is the formula for the area of a triangle ABC in terms of side c and angle B?

1/2 ac sin B Signup and view all the answers

Which trigonometric identity is useful for solving triangles when we know two angles and a side?

The Sine Rule Signup and view all the answers

What is the purpose of using the CAST diagram in solving trigonometric equations?

To identify the quadrants where the trigonometric function is positive or negative Signup and view all the answers

What is the formula for the cosine rule in terms of side a and angle B?

a^2 = b^2 + c^2 - 2ac cos B Signup and view all the answers

When solving a quadratic trigonometric equation, what is the first step?

Simplify the equation using reduction formulae Signup and view all the answers

What is the main advantage of using trigonometric identities?

They allow us to simplify trigonometric expressions Signup and view all the answers

What is the general solution to a trigonometric equation in degrees?

θ + 360°k, where k is an integer Signup and view all the answers

Which trigonometric identity is useful for solving triangles when we know two sides and the included angle?

The Cosine Rule Signup and view all the answers

What is the purpose of checking the solution using a calculator when solving a trigonometric equation?

To ensure the solution satisfies the original equation Signup and view all the answers

If sin θ = 3/5, what is the value of cos θ?

4/5 Signup and view all the answers

What is the value of tan θ if sin θ = 2/3 and cos θ = 1/3?

3/2 Signup and view all the answers

If tan θ = 5/12, what is the value of sin θ?

5/13 Signup and view all the answers

What is the value of cos^2 θ if sin θ = 3/5?

16/25 Signup and view all the answers

If cos θ = 2/5, what is the value of tan θ?

3/4 Signup and view all the answers

What is the value of sin^2 θ + cos^2 θ if sin θ = 3/5 and cos θ = 4/5?

25/25 Signup and view all the answers

If tan θ = 3/5, what is the value of cos θ?

4/5 Signup and view all the answers

What is the value of sin θ if cos θ = 3/5 and tan θ = 4/3?

4/5 Signup and view all the answers

In which quadrant is the cosine function negative?

Quadrant III Signup and view all the answers

What is the general solution for the equation ( \sin \theta = x ) in degrees?

( \theta = 180^\circ - \sin^{-1} x + k \cdot 360^\circ ) Signup and view all the answers

In which quadrant are the sine and tangent functions both positive?

Quadrant I Signup and view all the answers

What is the general solution for the equation ( \cos \theta = x ) in degrees?

( \theta = \cos^{-1} x + k \cdot 360^\circ ) Signup and view all the answers

In which quadrant is the tangent function negative?

Quadrant I and Quadrant III Signup and view all the answers

What is the general solution for the equation ( \tan \theta = x ) in degrees?

( \theta = \tan^{-1} x + k \cdot 180^\circ ) or ( \theta = 180^\circ - \tan^{-1} x + k \cdot 180^\circ ) Signup and view all the answers

In which quadrant are the sine and cosine functions both positive?

Quadrant I Signup and view all the answers

What is the general solution for the equation ( \sin \theta = x ) in degrees if ( \theta ) is in the second quadrant?

( \theta = 180^\circ - \sin^{-1} x ) Signup and view all the answers

In which quadrant is the sine function negative?

Quadrant III and Quadrant IV Signup and view all the answers

What is the general solution for the equation ( \cos \theta = x ) in degrees if ( \theta ) is in the fourth quadrant?

( \theta = 360^\circ - \cos^{-1} x ) Signup and view all the answers

Gr 11 Math Ch 6 SUM: Trigonometry

Questions and Answers

What is the purpose of trigonometric identities?

What is the quotient identity for tangent in terms of sine and cosine?

Why is tan θ undefined when θ = k × 90°, where k is an odd integer?

What is the square identity, also known as the Pythagorean identity?

What is the first step in proving an identity?

What is another form of the square identity?

Why is it usually better to choose the more complicated side of the equation to simplify?

What is the benefit of using trigonometric identities?

What is the purpose of replacing 1 with sin^2 θ + cos^2 θ when simplifying trigonometric expressions?

Which trigonometric identity is defined for all values of θ, except where cos θ = 0?

What is the alternative form of the square identity sin^2 θ + cos^2 θ = 1?

What is the reduction formula for sin(180° - θ)?

What is the purpose of using the square root sign in trigonometric expressions?

What is the reduction formula for cos(180° - θ)?

What is the condition for the quotient identity tan θ = sin θ / cos θ to be defined?

Which of the following is a trigonometric identity?

If point P has coordinates (√3, 1), what are the coordinates of P' if P and P' are symmetrical about the origin?

What is the value of sin(180° + θ)?

If points P and P' are symmetrical about the x-axis, what are the coordinates of P'?

What is the value of cos(-θ)?

What is the value of tan(360° - θ)?

What is the value of sin(90° - θ)?

What is the value of cos(90° + θ)?

What is the relationship between sin(90° - θ) and cos θ?

How can sin 54° be expressed as a trigonometric ratio of 36°?

What is the general formula for sin(180° ± θ)?

In which quadrant is the sine function positive?

What is the general solution for the equation (\tan \theta = x) in degrees?

In which quadrants are the cosine and tangent functions both positive?

What is the general solution for the equation (\cos \theta = x) in degrees?

In which quadrants are the sine and cosine functions both negative?

What is the first step in solving a trigonometric equation?

What is the formula for the area of a triangle ABC in terms of side a and angle C?

Which trigonometric identity is useful for solving triangles when we know two sides and the included angle?

What is the purpose of the CAST diagram in solving trigonometric equations?

What is the formula for the sine rule?

What is the general solution to a trigonometric equation?

What is the formula for the cosine rule in terms of side a and angle A?

When solving a trigonometric equation, what is the purpose of checking the solution using a calculator?

What is the formula for the area of a triangle ABC in terms of side b and angle A?

When solving a quadratic trigonometric equation, what is the first step?

What is the main advantage of using trigonometric identities?

Which of the following is NOT a step in proving an identity?

What is the value of sin^2 θ + cos^2 θ?

Why is tan θ undefined when θ = k × 90°, where k is an odd integer?

What is the alternative form of the square identity sin^2 θ + cos^2 θ = 1?

What is the main purpose of the quotient identity?

What is the benefit of using the quotient identity?

What is the condition for the quotient identity to be defined?

What is the condition under which the quotient identity tan θ = sin θ / cos θ is defined?

Which of the following is a result of the square identity?

What is the value of sin(180° + θ)?

If points P and P' are symmetrical about the y-axis, what is the coordinate of P' if P is (x, y)?

What is the purpose of replacing 1 with sin^2 θ + cos^2 θ in trigonometric expressions?

What is the value of tan(180° - θ)?

What is the result of using the square identity to simplify sin^2 θ + cos^2 θ?

What is the purpose of multiplying by a suitable fraction to simplify a trigonometric expression?

What is the value of sin(360° + θ)?

If points P and P' are symmetrical about the y-axis, what are the coordinates of P'?

What is the value of cos(90° + θ)?

What is the value of tan(180° + θ)?

What is the value of sin(-θ)?

What is the relationship between sin(90° - θ) and cos θ?

What is the value of cos(360° - θ)?

How can cos 54° be expressed as a trigonometric ratio of 36°?

What is the general formula for sin(180° ± θ)?

What is the value of tan(90° - θ)?

In which quadrants is the tangent function positive?

What is the general solution for the equation (\sin \theta = x) in degrees?

What is the general solution for the equation (\cos \theta = x) in degrees?

In which quadrant is the cosine function positive?

What is the purpose of the identities and rules in trigonometry?

What is the general solution for the equation (\tan \theta = x) in degrees?

Which trigonometric rule is used to find the area of a triangle when no perpendicular height is given?

What is the first step in solving a trigonometric equation?

Which trigonometric identity is used to express trigonometric functions in terms of acute angles?

What is the purpose of the CAST diagram in solving trigonometric equations?

What is the formula for the sine rule?