Gr 11 Math Ch 6: Reduction Formula
74 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the value of sin(180° - θ) in terms of θ?

  • sin θ (correct)
  • -sin θ
  • -cos θ
  • cos θ

What is the value of cos(180° + θ) in terms of θ?

  • cos θ
  • -sin θ
  • sin θ
  • -cos θ (correct)

What is the value of tan(180° - θ) in terms of θ?

  • -tan θ (correct)
  • tan θ
  • -cot θ
  • cot θ

What is the coordinate of point P' in terms of point P(√3, 1), given P and P' are symmetrical about the y-axis?

<p>(-√3, 1) (C)</p> Signup and view all the answers

If OP makes an angle θ = 30° with the x-axis, what is the value of θ for point P'(180° + θ)?

<p>120° (B)</p> Signup and view all the answers

What is the value of sin(180° + θ) in terms of θ?

<p>-sin θ (D)</p> 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)?

<p>(-√3, -1) (C)</p> Signup and view all the answers

What is the value of sin(180° + θ)?

<p>-sin θ (A)</p> Signup and view all the answers

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

<p>(√3, -1) (B)</p> Signup and view all the answers

What is the value of cos(-θ)?

<p>cos θ (B)</p> Signup and view all the answers

What is the value of tan(360° - θ)?

<p>-tan θ (D)</p> Signup and view all the answers

What is the value of sin(90° - θ)?

<p>cos θ (C)</p> Signup and view all the answers

What is the value of cos(90° + θ)?

<p>-sin θ (D)</p> Signup and view all the answers

What is the value of tan(90° + θ)?

<p>tan θ (D)</p> Signup and view all the answers

Express sin 54° as a trigonometric ratio of 36°:

<p>cos 36° (A)</p> Signup and view all the answers

What is the phase difference between the sine and cosine graphs?

<p>90° (A)</p> Signup and view all the answers

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

<p>(-√3, 1) (A)</p> Signup and view all the answers

What is the value of cos(180° + θ) in terms of θ?

<p>-cos θ (B)</p> Signup and view all the answers

What is the value of tan(180° - θ) in terms of tan θ?

<p>-tan θ (D)</p> Signup and view all the answers

What is the relationship between the coordinates of points P and P' when they are symmetrical about the y-axis?

<p>P' has coordinates (-x, y) if P has coordinates (x, y) (C)</p> Signup and view all the answers

What is the value of sin(180° - θ) in terms of sin θ?

<p>sin θ (B)</p> Signup and view all the answers

What is the relationship between the coordinates of points P and P' when they are symmetrical about the origin?

<p>P' has coordinates (-x, -y) if P has coordinates (x, y) (D)</p> Signup and view all the answers

If points P and P' are symmetrical about the origin, which of the following is true about P'?

<p>P' has coordinates (-x, -y). (D)</p> Signup and view all the answers

What is the value of sin(360° + θ) in terms of θ?

<p>sin θ (C)</p> Signup and view all the answers

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

<p>(y, x) (C)</p> Signup and view all the answers

What is the value of cos(-θ) in terms of θ?

<p>cos θ (C)</p> Signup and view all the answers

What is the value of tan(180° - θ) in terms of θ?

<p>-tan θ (A)</p> Signup and view all the answers

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

<p>(x, -y) (A)</p> Signup and view all the answers

What is the value of cos(360° - θ) in terms of θ?

<p>cos θ (B)</p> Signup and view all the answers

What is the value of sin(90° + θ) in terms of θ?

<p>cos θ (C)</p> Signup and view all the answers

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

<p>(-x, y) (B)</p> Signup and view all the answers

What is the value of tan(180° + θ) in terms of θ?

<p>tan θ (A)</p> Signup and view all the answers

If points P and P' are symmetrical about the y-axis, which of the following is true about the tangent of the angle?

<p>tan(180^\circ - ) = -tan (D)</p> Signup and view all the answers

What is the relationship between the sine and cosine of 180^\circ - and ?

<p>sin(180^\circ - ) = sin , cos(180^\circ - ) = -cos (D)</p> Signup and view all the answers

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

<p>P'(-x, y) (D)</p> Signup and view all the answers

What is the value of cos(180^\circ - ) in terms of ?

<p>-cos (C)</p> Signup and view all the answers

If points P and P' are symmetrical about the y-axis, what is the value of sin(180^\circ - ) in terms of ?

<p>sin (A)</p> Signup and view all the answers

What is the value of tan(180^\circ - ) in terms of ?

<p>-tan (B)</p> Signup and view all the answers

If points P and P' are symmetrical about the line y = x, what is the value of tan(90° + θ) in terms of θ?

<p>-tan θ (A)</p> Signup and view all the answers

What is the value of sin(360° - θ) in terms of θ, if 0° ≤ θ ≤ 360°?

<p>-sin θ (D)</p> Signup and view all the answers

If points P and P' are symmetrical about the x-axis, what is the value of cos(90° - θ) in terms of θ?

<p>sin θ (D)</p> Signup and view all the answers

What is the value of tan(-θ) in terms of θ?

<p>-tan θ (A)</p> Signup and view all the answers

If points P and P' are symmetrical about the origin, what is the value of cos(180° + θ) in terms of θ?

<p>-cos θ (D)</p> Signup and view all the answers

What is the value of sin(360° + θ) in terms of θ, if 0° ≤ θ ≤ 360°?

<p>sin θ (B)</p> Signup and view all the answers

If points P and P' are symmetrical about the line y = x, what is the value of sin(90° + θ) in terms of θ?

<p>cos θ (B)</p> Signup and view all the answers

What is the value of cos(180° - θ) in terms of θ?

<p>-cos θ (A)</p> Signup and view all the answers

If points P and P' are symmetrical about the y-axis, what is the value of tan(90° - θ) in terms of θ?

<p>cot θ (C)</p> Signup and view all the answers

What is the value of sin(-θ) in terms of θ?

<p>-sin θ (A)</p> Signup and view all the answers

What is the value of cos(360° - θ) in terms of θ, if 0° ≤ θ ≤ 360°?

<p>cos θ (B)</p> Signup and view all the answers

If points P and P' are symmetrical about the y-axis, what is the relationship between the sine of the angle of P and P'?

<p>sin(180° - θ) = sin θ (D)</p> Signup and view all the answers

What is the value of tan(360° - θ) in terms of θ, if 0° ≤ θ ≤ 360°?

<p>tan θ (B)</p> Signup and view all the answers

If points P and P' are symmetrical about the y-axis, what is the relationship between the cosine of the angle of P and P'?

<p>cos(180° - θ) = -cos θ (B)</p> Signup and view all the answers

What is the value of sin(180° + θ) in terms of θ?

<p>sin θ (C)</p> Signup and view all the answers

If points P and P' are symmetrical about the y-axis, what is the relationship between the tangent of the angle of P and P'?

<p>tan(180° - θ) = -tan θ (A)</p> Signup and view all the answers

What is the value of cos(360° + θ) in terms of θ?

<p>cos θ (C)</p> Signup and view all the answers

If points P and P' are symmetrical about the line y = x, what is the value of sin(90° + θ) in terms of θ?

<p>cos θ (D)</p> Signup and view all the answers

What is the value of tan(180° + θ) in terms of θ?

<p>tan θ (A)</p> Signup and view all the answers

If points P and P' are symmetrical about the x-axis, what is the value of cos(90° - θ) in terms of θ?

<p>sin θ (D)</p> Signup and view all the answers

What is the value of sin(360° - θ) in terms of θ, if 0° ≤ θ ≤ 360°?

<p>-sin θ (B)</p> Signup and view all the answers

What is the value of tan(90° + θ) in terms of θ?

<p>-cot θ (B)</p> Signup and view all the answers

If points P and P' are symmetrical about the origin, what is the value of sin(180° + θ) in terms of θ?

<p>-sin θ (A)</p> Signup and view all the answers

What is the value of cos(180° - θ) in terms of θ?

<p>-cos θ (B)</p> Signup and view all the answers

What is the value of tan(180° - θ) in terms of θ?

<p>-tan θ (D)</p> Signup and view all the answers

If points P and P' are symmetrical about the y-axis, what is the value of sin(90° - θ) in terms of θ?

<p>cos θ (A)</p> Signup and view all the answers

What is the value of cos(360° + θ) in terms of θ?

<p>cos θ (B)</p> Signup and view all the answers

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

<p>(1, √3) (B)</p> Signup and view all the answers

What is the value of sin(180° - θ) in terms of θ?

<p>sin θ (D)</p> Signup and view all the answers

What is the value of tan(90° + θ) in terms of θ?

<p>-tan θ (A)</p> Signup and view all the answers

What is the phase difference between the sine and cosine graphs?

<p>90° (D)</p> Signup and view all the answers

If points P and P' are symmetrical about the y-axis, what is the relationship between their sine values?

<p>sin(θ) = -sin(θ) (C)</p> Signup and view all the answers

If OP makes an angle θ = 30° with the x-axis, what is the angle of OP' in terms of θ if points P and P' are symmetrical about the y-axis?

<p>180° - θ (D)</p> Signup and view all the answers

What is the value of cos(θ) in terms of cos(180° - θ)?

<p>-cos(180° - θ) (C)</p> Signup and view all the answers

If points P and P' are symmetrical about the y-axis, what is the relationship between their x-coordinates?

<p>x = -x (A)</p> Signup and view all the answers

What is the value of tan(180° - θ) in terms of tan(θ)?

<p>-tan(θ) (C)</p> Signup and view all the answers

Flashcards are hidden until you start studying

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser