91Ó°ÊÓ

Evaluate without using a calculator. $$ \sin \left(\cos ^{-1} \frac{1}{\sqrt{5}}\right) $$

$$ \text { Use a calculator to approximate each value to four decimal places. } $$ $$ \tan (-25) $$

Use your graphing calculator to graph each family of functions for \(-2 \pi \leq x \leq 2 \pi\) together on a single coordinate system. (Make sure your calculator is set to radian mode.) What effect does the value of \(k\) have on the graph? \(y=k+\cos x\) for \(k=0,1,-1\)

Use your graphing calculator to graph each family of functions for \(-2 \pi \leq x \leq 2 \pi\) together on a single coordinate system. (Make sure your calculator is set to radian mode.) What effect does the value of \(h\) have on the graph? \(y=\sin (x-h) \quad\) for \(h=0, \frac{\pi}{4}, \frac{\pi}{2}\)

$$ \text { Use a calculator to approximate each value to four decimal places. } $$ $$ \csc 16.3 $$

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

$$ \text { Use a calculator to approximate each value to four decimal places. } $$ $$ \csc 16.3^{\circ} $$

Evaluate without using a calculator. $$ \cos \left(\sin ^{-1} \frac{1}{2}\right) $$

Use your graphing calculator to graph each family of functions for \(-2 \pi \leq x \leq 2 \pi\) together on a single coordinate system. (Make sure your calculator is set to radian mode.) What effect does the value of \(h\) have on the graph? \(y=\cos (x-h) \quad\) for \(h=0, \frac{\pi}{3},-\frac{\pi}{3}\)

Use your graphing calculator to graph each family of functions for \(-2 \pi \leq x \leq 2 \pi\) together on a single coordinate system. (Make sure your calculator is set to radian mode.) What effect does the value of \(h\) have on the graph? \(y=\sin (x-h) \quad\) for \(h=0,-\frac{\pi}{4},-\frac{\pi}{2}\)