Podcast
Questions and Answers
Which of the following pairs correctly represent the relationships between the trigonometric ratios?
Which of the following pairs correctly represent the relationships between the trigonometric ratios?
- Sine and Cosine are reciprocals of each other.
- Tangent and Cotangent are both reciprocals of each other.
- Cosecant and Secant are reciprocals of Sine and Cosine, respectively. (correct)
- Secant is the reciprocal of Sine.
What is the formula for calculating the tangent of an angle in a right triangle?
What is the formula for calculating the tangent of an angle in a right triangle?
- Tangent = Opposite / Hypotenuse
- Tangent = Opposite / Adjacent (correct)
- Tangent = Adjacent / Hypotenuse
- Tangent = Hypotenuse / Opposite
Which of the following statements about the trigonometric ratios is true?
Which of the following statements about the trigonometric ratios is true?
- The sine ratio is calculated as the hypotenuse divided by the adjacent side.
- The tangent ratio is the ratio of the opposite side to the adjacent side. (correct)
- The secant ratio is derived from the cotangent ratio.
- The cosecant ratio can be expressed as 1 divided by the cosine ratio.
Which of the following identifies the basic trigonometric ratios?
Which of the following identifies the basic trigonometric ratios?
Which ratio represents the reciprocal of the tangent?
Which ratio represents the reciprocal of the tangent?
What ratio is used to express the relationship between the opposite side and the hypotenuse in a right-angled triangle?
What ratio is used to express the relationship between the opposite side and the hypotenuse in a right-angled triangle?
Which trigonometric ratio is considered the reciprocal of cosine?
Which trigonometric ratio is considered the reciprocal of cosine?
If the acute angle θ in a right triangle is known, which of the following ratios can be calculated?
If the acute angle θ in a right triangle is known, which of the following ratios can be calculated?
When considering a right-angled triangle, what happens to the base and perpendicular when calculating trigonometric ratios for angle A instead of angle C?
When considering a right-angled triangle, what happens to the base and perpendicular when calculating trigonometric ratios for angle A instead of angle C?
Which statement about trigonometric ratios is correct?
Which statement about trigonometric ratios is correct?
Flashcards
Trigonometric Ratios
Trigonometric Ratios
Relationships between angles and sides of a right triangle, described by sine, cosine, tangent, cotangent, secant, and cosecant.
Sine (sin)
Sine (sin)
Ratio of the side opposite to a given angle and the hypotenuse.
Cosine (cos)
Cosine (cos)
Ratio of the side adjacent to a given angle and the hypotenuse.
Tangent (tan)
Tangent (tan)
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Cosecant (csc)
Cosecant (csc)
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Secant (sec)
Secant (sec)
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Cotangent (cot)
Cotangent (cot)
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Trigonometric Ratios
Trigonometric Ratios
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Right-angled Triangle
Right-angled Triangle
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Trigonometric ratios depend on
Trigonometric ratios depend on
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Sides in a right-angled triangle
Sides in a right-angled triangle
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Acute Angle
Acute Angle
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Study Notes
Trigonometric Ratios
- Six trigonometric ratios exist: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
- Used in trigonometry, a branch of mathematics studying angles and sides of right triangles.
- Ratios are evaluated based on triangle sides and angles.
Sine (sin)
- Formula: sin(C) = (side opposite to angle C) / (hypotenuse)
Cosine (cos)
- Formula: cos(C) = (side adjacent to angle C) / (hypotenuse)
Tangent (tan)
- Formula: tan(C) = (side opposite to angle C) / (side adjacent to angle C)
Cotangent (cot)
- Formula: cot(C) = 1 / tan(C) = (side adjacent to angle C) / (side opposite to angle C)
Secant (sec)
- Formula: sec(C) = 1 / cos(C) = (hypotenuse) / (side adjacent to angle C)
Cosecant (csc)
- Formula: csc(C) = 1 / sin(C) = (hypotenuse) / (side opposite to angle C)
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