91Ó°ÊÓ

If \(y=\tan ^{-1} x\), then \(y\) will be an angle between _____ and _____ .

If \(y=\sin ^{-1} x\), then \(y\) can terminate in quadrant _____ or _____ .

If \(y=\tan ^{-1} x\), then \(y\) can terminate in quadrant ____ or _____.

Graph one complete cycle of each of the following. In each case, label the axes accurately and identify the amplitude for each graph. $$ y=6 \cos x $$

Graph \(y=\cot x\) for \(x\) between 0 and \(\pi\), and then reflect the graph about the line \(y=x\) to obtain the graph of \(y=\cot ^{-1} x\).

Evaluate each expression without using a calculator, and write your answers in radians. $$\sin ^{-1}\left(\frac{\sqrt{3}}{2}\right)$$

Graph one complete cycle of each of the following. In each case, label the axes accurately and identify the amplitude for each graph. $$ y=-4 \sin x $$

Evaluate each expression without using a calculator, and write your answers in radians. $$\cos ^{-1}(-1)$$

Identify the period for each of the following. Do not sketch the graph. $$ y=\cos 4 x $$

Graph one complete cycle of each of the following. In each case, label the axes accurately and identify the period for each graph. $$ y=\cos 3 x $$