Class 12 Inverse Trigonometry Functions Quiz
6 Questions
2 Views

Class 12 Inverse Trigonometry Functions Quiz

Created by
@HotCatharsis

Podcast Beta

Play an AI-generated podcast conversation about this lesson

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.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Description

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

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser