Evaluating inverse trigonometric functions - Inverse Trigonometric Functions

Evaluating inverse trigonometric functions

Lessons

Notes:

Cancellation Laws:

sin1(sinx)=x\sin^{-1} (\sin x) = x\;, π2xπ2-\frac{\pi}{2} \leq x \leq \frac{\pi}{2}

sin(sin1x)=x\sin (\sin^{-1} x) = x\;, 1x1-1 \leq x \leq 1

cos1(cosx)=x\cos^{-1} (\cos x) = x\;, 0xπ0 \leq x \leq \pi

cos(cos1x)=x\cos (\cos^{-1} x) = x\;, 1x1-1 \leq x \leq 1

tan1(tanx)=x\tan^{-1} (\tan x) = x\;, π2xπ2-\frac{\pi}{2} \leq x \leq \frac{\pi}{2}

tan(tan1x)=x\tan (\tan^{-1} x) = x\;, -\infty < xx < \infty

Trigonometric Identity:

cos2θ=cos2θsin2θ\cos 2\theta = \cos^{2} \theta - \sin^{2} \theta

  • 2.
    Application of the Cancellation Laws

    Solve the following inverse trigonometric functions:

  • 3.
    Solving Expressions With One Inverse Trigonometry

    Solve the following inverse trigonometric functions:

  • 4.
    Evaluating Expressions With a Combination of Inverse and Non-Inverse Trigonometry

    Solve the following inverse trigonometric functions:

  • 5.
    Special Cases: Evaluating Functions With Numbers Outside of the Restrictions

    Solve the following inverse trigonometric functions:

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Evaluating inverse trigonometric functions

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