CPM Homework Help : PC Problem 6-29

Evaluate each expression for $\theta$ (in radians) and leave your answers in fraction form when appropriate. Remember the restricted ranges for the functions.

Compute without a calculator

$\sin^{-1}\left(-\frac{\sqrt{3}}{2}\right)$

$\sin^{-1}\left(\frac{\sqrt{2}}{2}\right)$

$\cos^{-1}\left(-\frac{\sqrt{2}}{2}\right)$

$\cos^{-1}\left(\frac{\sqrt{3}}{2}\right)$

Hint:

The domain of inverse sine is $\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$ . The domain of inverse cosine is $[0,\pi]$ .