91Ó°ÊÓ

Find the amplitude and the period and sketch the graph of the equation: A. \(y=3 \cos x\) B. \(y=\cos 3 x\) C. \(y=\frac{1}{3} \cos x\) D. \(y=\cos \frac{1}{3} x\) E. \(y=2 \cos \frac{1}{3} x\) F. \(y=\frac{1}{2} \cos 3 x\) G. \(y=-3 \cos x\) H. \(y=\cos (-3 x)\)

Find the reference angle \(\theta_{R}\) if \(\theta\) has the given measure. (a) \(3 \pi / 4\) (b) \(4 \pi / 3\) \((c)-\pi / 6\) \((d) 9 \pi / 4\)

Exer. 1-4: If the given angle is in standard position, find two positive coterminal angles and two negative coterminal angles. (a) \(620^{\circ}\) (b) \(\frac{5 \pi}{6} \quad\) (c) \(-\frac{\pi}{4}\)

Find the period and sketch the graph of the equation. Show the asymptotes. $$y=3 \cot x$$

Find the reference angle \(\theta_{R}\) if \(\theta\) has the given measure. (a) \(7 \pi / 4\) (b) \(2 \pi / 3 \) (c) \(-3 \pi / 4\) \((d)-23 \pi / 6\)

Given the indicated parts of triangle \(A B C\) with \(\gamma=90^{\circ},\) find the exact values of the remaining parts. $$\alpha=60^{\circ}, \quad c=6$$

Find the period and sketch the graph of the equation. Show the asymptotes. $$y=\frac{1}{3} \cot x$$

Exer. 1-4: If the given angle is in standard position, find two positive coterminal angles and two negative coterminal angles. (a) \(570^{\circ}\) (b) \(\frac{2 \pi}{3}\) \((c)-\frac{5 \pi}{4}\)

Find the period and sketch the graph of the equation. Show the asymptotes. $$y=2 \csc x$$

Find the amplitude, the period, and the phase shift and sketch the graph of the equation. \(y=\sin \left(x-\frac{\pi}{2}\right)\)