91Ó°ÊÓ

Graph each of the following over the given interval. In each case, label the axes accurately and state the period for each graph. \(y=-2 \csc 3 x, 0 \leq x \leq 2\) ur

Use the unit circle and the fact that cosine is an even function to find each of the following: $$\cos \left(-\frac{5 \pi}{6}\right)$$

For each equation, identify the period, horizontal shift, and phase. Do not sketch the graph. $$ y=3-\sin \left(\frac{1}{2} x+\frac{\pi}{6}\right) $$

Use a calculator to evaluate each expression to the nearest tenth of a degree. $$\arccos (0.8425)$$

For each equation, identify the period, horizontal shift, and phase. Do not sketch the graph. $$ y=2+\cos \left(3 x-\frac{\pi}{2}\right) $$

Graph each of the following over the given interval. In each case, label the axes accurately and state the period for each graph. \(y=-2 \sec 3 x, 0 \leq x \leq 2 \pi\)

Use a calculator to evaluate each expression to the nearest tenth of a degree. $$\arccos (0.2967)$$

Use the unit circle and the fact that cosine is an even function to find each of the following: $$\cos \left(-\frac{5 \pi}{3}\right)$$

For each equation, identify the amplitude, period, horizontal shift, and phase. Then label the axes accordingly and sketch one complete cycle of the curve. $$ y=\sin (2 x-\pi) $$

Use the unit circle and the fact that sine is an odd function to find each of the following: $$\sin \left(-30^{\circ}\right)$$