91Ó°ÊÓ

Sketching the Graph of a sine or cosine Function, sketch the graph of the function. (Include two full periods.) $$ y=4 \cos x $$

Applying Trigonometric ldentities, use the given function value(s) and the trigonometric identities to find the indicated trigonometric functions. $$\sin 30^{\circ}=\frac{1}{2}, \quad \tan 30^{\circ}=\frac{\sqrt{3}}{3}$$ $$\begin{array}{ll}{\text { (a) } \csc 30^{\circ}} & {\text { (b) } \cot 60^{\circ}} \\ {\text { (c) } \cos 30^{\circ}} & {\text { (d) } \cot 30^{\circ}}\end{array}$$

Using the Value of a Trigonometric Function In Exercises \(37-42,\) use the value of the trigonometric function to evaluate the indicated functions. $$\begin{array}{l}{\cos t=\frac{4}{5}} \\ {\text { (a) } \cos (\pi-t)} \\\ {\text { (b) } \cos (t+\pi)}\end{array}$$

Use an inverse trigonometric function to write \(\theta\) as a function of \(x .\)

Trigonometric Function of a Quadrant Angle. Evaluate the trigonometric function of the quadrant angle, if possible. $$\cot \pi$$

Convert the angle measure from degrees to radians. Round to three decimal places. \(345^{\circ}\)

Graphing a Trigonometric Function In Exercises \(39-48\) , use a graphing utility to graph the function. (Include two full periods.) $$y=\sec \pi x$$

Convert the angle measure from radians to degrees. Round to three decimal places. \(\frac{5 \pi}{11}\)

Trigonometric Function of a Quadrant Angle. Evaluate the trigonometric function of the quadrant angle, if possible. $$\csc \pi$$

Applying Trigonometric ldentities, use the given function value(s) and the trigonometric identities to find the indicated trigonometric functions. $$\cos \theta=\frac{1}{3}$$ $$\begin{array}{ll}{\text { (a) } \sin \theta} & {\text { (b) } \tan \theta} \\\ {\text { (c) } \sec \theta} & {\text { (d) } \csc \left(90^{\circ}-\theta\right)}\end{array}$$