Evaluating inverse trigonometric functions - Inverse Trigonometric Functions

Do better in math today
Get Started Now

Inverse Trigonometric Functions Topics:

Evaluating inverse trigonometric functions

Lessons

Notes:

Cancellation Laws:

sin−1(sinx)=x\sin^{-1} (\sin x) = x\;, −π2≤x≤π2-\frac{\pi}{2} \leq x \leq \frac{\pi}{2}

sin(sin−1x)=x\sin (\sin^{-1} x) = x\;, −1≤x≤1-1 \leq x \leq 1

cos−1(cosx)=x\cos^{-1} (\cos x) = x\;, 0≤x≤π0 \leq x \leq \pi

cos(cos−1x)=x\cos (\cos^{-1} x) = x\;, −1≤x≤1-1 \leq x \leq 1

tan−1(tanx)=x\tan^{-1} (\tan x) = x\;, −π2≤x≤π2-\frac{\pi}{2} \leq x \leq \frac{\pi}{2}

tan(tan−1x)=x\tan (\tan^{-1} x) = x\;, −∞-\infty < xx < ∞\infty

Trigonometric Identity:

cos2θ=cos2θ−sin2θ\cos 2\theta = \cos^{2} \theta - \sin^{2} \theta

  • 1.
    Application of the Cancellation Laws

    Solve the following inverse trigonometric functions:

  • 2.
    Solving Expressions With One Inverse Trigonometry

    Solve the following inverse trigonometric functions:

  • 3.
    Evaluating Expressions With a Combination of Inverse and Non-Inverse Trigonometry

    Solve the following inverse trigonometric functions:

  • 4.
    Special Cases: Evaluating Functions With Numbers Outside of the Restrictions

    Solve the following inverse trigonometric functions:

Teacher pug

Evaluating inverse trigonometric functions

Don't just watch, practice makes perfect.

We have over 250 practice questions in Trigonometry for you to master.
Get Started Now