91Ó°ÊÓ

Reduce the given expression to a single trigonometric function. $$ \sin \theta \tan \theta \csc ^{2} \theta-\sin \theta \tan \theta $$

In Problems \(1-16\), draw the given angle in standard position. Bear in mind that the lack of a degree symbol \(\left(^{\circ}\right)\) in an angular measurement indicates that the angle is measured in radians. $$ 4 $$

Find all solutions of the given trigonometric equation if \(\theta\) represents an angle measured in degrees. $$ \sqrt{3} \sin \theta=\cos \theta $$

Find the exact value of the given trigonometric expression. Do not use a calculator. $$ \cos \left(\sin ^{-1} \frac{1}{3}\right) $$

Use a sum or difference formula to find the exact value of the given trigonometric function. Do not use a calculator. $$ \cos 195^{\circ} $$

For the given value of \(t\) determine the reference angle \(t^{\prime}\) and the exact values of \(\sin t\) and \(\cos t\). Do not use a calculator. $$ t=5 \pi / 4 $$

Find all solutions of the given trigonometric equation if \(\theta\) represents an angle measured in degrees. $$ \sec \theta=-2 $$

In Problems \(17-20,\) express the given angle in decimal notation. $$ 10^{\circ} 39^{\prime} 17^{\prime \prime} $$

Find the \(x\) -intercepts of the graph of the given function on the interval \([\mathrm{o}, 2 \pi]\). Then find all intercepts using periodicity. $$ y=-1+\sin x $$

Use a sum or difference formula to find the exact value of the given trigonometric function. Do not use a calculator. $$ \sin 195^{\circ} $$