CalcNotes Inverse Trigonometric Functions

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Section 3.9 Inverse Trigonometric Functions

Example 3.9.1.

Find $\cos\left(\sin^{-1} \frac{\sqrt{6}}{3}\right)\text{.}$

Refer to table of trig functions ¹.

Example 3.9.2.

Find the derivatives:

$\displaystyle \frac{d}{dx} \sec^{-1}(5s^2+6)$
$\displaystyle \frac{d}{dx} \ln(\tan^{-1}(3x^5))$
$\displaystyle \frac{d}{dv} v\sqrt{1-v^2} - 4 \sin^{-1}v$

calc1.leavesofmath.com/inverseTrigFunctionswithDerivatives.pdf