Trigonometric Ratios and Identities
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Questions and Answers

If f(x) is an odd function, what is f(-x) equal to?

  • 2f(x)
  • f(x)
  • -f(x) (correct)
  • f(-x)
  • What is the value of sin(-θ) in terms of sin(θ)?

  • -sin(θ) (correct)
  • tan(θ)
  • sin(θ)
  • cos(θ)
  • What is the value of cos(-θ) in terms of cos(θ)?

  • tan(θ)
  • -cos(θ)
  • sin(θ)
  • cos(θ) (correct)
  • If f(x) is an even function, what is f(-x) equal to?

    <p>f(x)</p> Signup and view all the answers

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

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

    What is the measure of an angle in trigonometry?

    <p>The amount of rotation from the initial side to the terminal side</p> Signup and view all the answers

    What determines the sense of an angle?

    <p>The direction of rotation of the initial side into the terminal side</p> Signup and view all the answers

    What is formed when a revolving ray describes one quarter of a circle?

    <p>A right angle</p> Signup and view all the answers

    What divides the plane of paper into four equal parts?

    <p>The x-axis and y-axis</p> Signup and view all the answers

    What are the lines X'OX and YOY' known as?

    <p>The x-axis and y-axis</p> Signup and view all the answers

    If sin(θ) = 3/5, what is the value of cot(θ)?

    <p>4/3</p> Signup and view all the answers

    What is the value of sin(60° + θ) in terms of sin(θ)?

    <p>sin(θ) - sin(60°)cos(θ)</p> Signup and view all the answers

    If θ is an acute angle, what is the value of tan(θ) if sec(θ) = 5/3?

    <p>12/13</p> Signup and view all the answers

    What is the value of cos(θ) if sin(θ) = 2/5 and θ is an acute angle?

    <p>4/5</p> Signup and view all the answers

    What is the value of cot(45° + θ) in terms of cot(θ)?

    <p>cot(θ) / (1 + cot(θ))</p> Signup and view all the answers

    What is the value of sin(A + B) in terms of sin A, cos A, sin B, and cos B?

    <p>sin A cos B + cos A sin B</p> Signup and view all the answers

    What is the value of cos(A - B) in terms of cos A, sin A, cos B, and sin B?

    <p>cos A cos B + sin A sin B</p> Signup and view all the answers

    What is the value of tan(A + B) in terms of tan A and tan B?

    <p>tan A + tan B / 1 - tan A tan B</p> Signup and view all the answers

    What is the value of cot(A + B) in terms of cot A and cot B?

    <p>cot A + cot B / 1 - cot A cot B</p> Signup and view all the answers

    What is the value of sin(A + B) sin(A - B) in terms of sin A and sin B?

    <p>sin^2 A - sin^2 B</p> Signup and view all the answers

    What is the value of cosec(90° - θ) in terms of cosec(θ)?

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

    If f(θ) is an odd function, what is the value of f(90° - θ) in terms of f(θ)?

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

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

    <p>cos(90° - θ)</p> Signup and view all the answers

    If tan(θ) = 3/4, what is the value of tan(90° - θ)?

    <p>4/3</p> Signup and view all the answers

    What is the value of sec(θ) in terms of sec(90° - θ)?

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

    What is the value of $\sin(90^\circ + \theta)$ in terms of $\cos \theta$?

    <p>$\cos \theta$</p> Signup and view all the answers

    If $\tan \theta = 3/4$ and $\theta$ is an acute angle, what is the value of $\sin \theta$?

    <p>$3/5$</p> Signup and view all the answers

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

    <p>$-\cos \theta$</p> Signup and view all the answers

    If $\sin \theta = 2/5$ and $\theta$ is an acute angle, what is the value of $\cot \theta$?

    <p>$\sqrt{21}/4$</p> Signup and view all the answers

    What is the value of $\tan(270^\circ - \theta)$ in terms of $\tan \theta$?

    <p>$-\tan \theta$</p> Signup and view all the answers

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