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  4. cos-1 [ cos((-(17/15))π)] is equal to

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Q. $cos^{-1} \left[ cos\left(\left(-\frac{17}{15}\right)\pi\right)\right]$ is equal to

Inverse Trigonometric Functions

Solution:

$cos^{-1} \left(cos\left(-\frac{17\pi}{15}\right)\right) = cos^{-1} \left(cos \left(\frac{17\pi}{15}\right)\right)$
$ = cos^{-1}\left[cos\left(2\pi - \frac{13\pi}{15}\right)\right] $
$= cos^{-1}\left[cos \frac{13\pi}{15}\right] = \frac{13\pi}{15}$