91Ó°ÊÓ

REVIEW Refer to the figure below. If \(\tan x=\frac{10}{24},\) what are \(\sin x\) and \(\cos x ?\) $$ \begin{array}{l}{F \sin x=\frac{26}{10} \text { and } \cos x=\frac{24}{26}} \\\ {G \sin x=\frac{10}{26} \text { and } \cos x=\frac{24}{26}} \\ {H \sin x=\frac{26}{10} \text { and } \cos x=\frac{26}{24}} \\ {J \sin x=\frac{26}{10} \text { and } \cos x=\frac{24}{26}}\end{array} $$

Find the exact value of each expression. \(\cos 15^{\circ}\)

OPEN ENDED Write the equation of a trigonometric function with a phase shift of \(-45^{\circ} .\) Then graph the function, and its parent graph.

Find the value of each expression. $$ \sin \theta, \text { if } \cos \theta=\frac{3}{4} ; 270^{\circ}<\theta<360^{\circ} $$

Find the exact value of each expression. \(\sin 15^{\circ}\)

The height of the International Peace Memorial at Put-in-Bay, Ohio, is 352 feet. The length of the shadow \(S\) of the Memorial depends upon the angle of inclination of the Sun, \(\theta\) . Express \(S\) as a function of \(\theta .\)

ACT/SAT If \(\sin x=m\) and \(0

Solve each equation. $$ x=\sin ^{-1} 1 $$

State the amplitude, period, and phase shift of each function. Then graph each function. $$ y=\cos \left(\theta-30^{\circ}\right) $$

The graph of \(y=\cot \theta\) is a transformation of the graph of \(y=\) tan \(\theta .\) Determine \(a, b,\) and \(h\) so that cot \(\theta=a \tan [b(\theta-h)]\) for all values of \(\theta\) for which each function is defined.