Class 12 Inverse Trigonometry Functions Quiz
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Questions and Answers

What is the value of $\arccos(0)$?

  • $2\pi$
  • $0$
  • $\pi$
  • $\frac{\pi}{2}$ (correct)

    • If $\tan(x) = \sqrt{3}$, what is the value of $x$ in the interval $[0, 2\pi]$?

  • $\frac{5\pi}{6}$ (correct)
  • $\frac{\pi}{3}$
  • $\frac{2\pi}{3}$
  • $\frac{\pi}{6}$

    • What is the value of $\sin(\arccos(-\frac{1}{2}))$?

  • $-\frac{\sqrt{3}}{2}$
  • $-\frac{1}{2}$
  • $-1$
  • $\frac{1}{2}$ (correct)

    • Which of the following is equivalent to $2 ext{arccot}(3)$?

    <p>$rac{ heta}{2} + rac{ heta}{3}$</p> Signup and view all the answers

    If $ ext{arcsin}(x) = rac{ heta}{4}$, what is the value of $ an( heta)$?

    <p>$rac{x}{ heta}$</p> Signup and view all the answers

    If $ an( ext{arccos}(x)) = 2$, what is the value of $x$?

    <p>$-rac{1}{2}$</p> Signup and view all the answers

    Study Notes

    Trigonometric Functions and Inverse Trigonometric Functions

    • The value of arccos(0) is π/2.
    • If tan(x) = √3, then x = π/3 in the interval [0, 2π].
    • The value of sin(arccos(-1/2)) is 1/2.
    • The equivalent of 2arccot(3) is 2π/3.
    • If arcsin(x) = π/4, then tan(π/4) is 1.
    • If tan(arccos(x)) = 2, then x = 1/√5.

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    Test your understanding of inverse trigonometric functions with these questions related to arccosine, tangent, and sine of arccosine.

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