91Ó°ÊÓ

Graphing a Trigonometric Function In Exercises \(39-48\) , use a graphing utility to graph the function. (Include two full periods.) $$y=\tan \left(x-\frac{\pi}{4}\right)$$

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. $$\cos \theta=\frac{1}{3}$$ $$\begin{array}{ll}{\text { (a) } \sin \theta} & {\text { (b) } \tan \theta} \\\ {\text { (c) } \sec \theta} & {\text { (d) } \csc \left(90^{\circ}-\theta\right)}\end{array}$$

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

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

Trigonometric Function of a Quadrant Angle. Evaluate the trigonometric function of the quadrant angle, if possible. $$\cot \frac{\pi}{2}$$

Using a Calculator In Exercises \(43-48,\) use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is in the correct mode.) $$\csc 2 \pi / 3$$

Graphing a Trigonometric Function In Exercises \(39-48\) , use a graphing utility to graph the function. (Include two full periods.) $$y=\frac{1}{4} \cot \left(x-\frac{\pi}{2}\right)$$

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

Convert the angle measure from radians to degrees. Round to three decimal places. \(\frac{15 \pi}{8}\)