91Ó°ÊÓ

Graph one complete cycle of each of the following. In each case, label the axes accurately and identify the period for each graph. $$ y=\cos \pi x $$

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

The following problems review material we covered in Section 3.1. Name the reference angle for each angle below.\(168^{\circ}\)

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

The following problems review material we covered in Section 3.1. Name the reference angle for each angle below.\(236^{\circ}\)

For each equation, identify the amplitude, period, horizontal shift, and phase. Then label the axes accordingly and sketch one complete cycle of the curve. $$ y=\frac{4}{3} \cos \left(3 x+\frac{\pi}{2}\right) $$

Prove each identity. $$\cos (-\theta) \tan \theta=\sin \theta$$

Prove each identity. $$\sin (-\theta) \sec (-\theta) \cot (-\theta)=1$$

Graph each of the following over the given interval. Label the axes so that the amplitude and period are easy to read. $$ y=-3 \cos \frac{1}{2} x,-2 \pi \leq x \leq 6 \pi $$

Sketch one complete cycle of each of the following by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships. \(y=\sec \left(x+\frac{\pi}{4}\right)\)