Trigonometric Ratios and Identities Quiz
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Questions and Answers

What is the value of sec 60°?

  • $√2$
  • $2/√3$ (correct)
  • $2$
  • $√3$

    • Which of the following expressions correctly represents sin(90°)?

  • $1$ (correct)
  • $1/√2$
  • $-1$
  • $0$

    • What is the correct interpretation of tan 0°?

  • 0 (correct)
  • Undefined
  • 1
  • N.D.

    • Which of the following statements about sec(180°) is correct?

    <p>It is -1</p> Signup and view all the answers

    What is the period of the tangent function?

    <p>π</p> Signup and view all the answers

    Which of the following trigonometric functions has a range that includes values less than -1 and greater than 1?

    <p>sec x</p> Signup and view all the answers

    Identify the correct domain for the cotangent function.

    <p>R - {nπ; n ∈ I}</p> Signup and view all the answers

    What is the range of the cosecant function?

    Signup and view all the answers

    What is the range of the function y = secx?

    <p>(-∞, -1] ∪ [1, ∞)</p> Signup and view all the answers

    Which statement is true regarding the periodicity of y = cotx?

    <p>Its period is π.</p> Signup and view all the answers

    Identify the correct domain for the function y = tanx.

    <p>R - {(2n + 1)π/2; n ∈ I}</p> Signup and view all the answers

    Which of the following represents the horizontal axis for the graph of y = cosecx?

    <p>From -2π to 2π</p> Signup and view all the answers

    Which trigonometric functions share the same range?

    <p>y = secx and y = cosecx</p> Signup and view all the answers

    Study Notes

    Trigonometric Ratios for Standard Angles

    • Values of trigonometric ratios (sin, cos, tan, cot, sec, cosec) are provided for specific angles (0°, 30°, 45°, 60°, 90°, 180°, 270°)
    • Values are given in both degrees and radians
    • N.D. represents "Not Defined"

    Trigonometric Identities

    • sin(nπ) = 0
    • cos(nπ) = (-1)^n
    • tan(nπ) = 0, where n is an integer.
    • sin((2n+1)π/2) = (-1)^n
    • cos((2n+1)π/2) = 0

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    Description

    Test your knowledge on trigonometric ratios for standard angles and essential identities. This quiz covers the values of sin, cos, tan, and more for specific angles in both degrees and radians. Additionally, explore key trigonometric identities to solidify your understanding.

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