91Ó°ÊÓ

In Exercises \(49-60\), state the amplitude, period, and phase shift (including direction) of the given function. $$y=-5 \cos (3 x+2)$$

Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\csc \theta=-2,0 \leq \theta \leq 2 \pi$$

In Exercises \(49-60\), state the amplitude, period, and phase shift (including direction) of the given function. $$y=-7 \sin (4 x-3)$$

Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\cot \theta=-\sqrt{3}, 0 \leq \theta \leq 2 \pi$$

In Exercises \(47-56,\) graph the functions over at least one period. $$y=-1+4 \sec (2 x+\pi)$$

In Exercises \(49-60\), state the amplitude, period, and phase shift (including direction) of the given function. $$y=6 \sin [-\pi(x+2)]$$

In Exercises \(47-56,\) graph the functions over at least one period. $$y=-1-\sec \left(\frac{1}{2} x-\frac{\pi}{4}\right)$$

Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\sec \theta=\frac{2 \sqrt{3}}{3}, 0 \leq \theta \leq 2 \pi$$

Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\tan \theta=\frac{\sqrt{3}}{3}, 0 \leq \theta \leq 2 \pi$$

In Exercises \(47-56,\) graph the functions over at least one period. $$y=-2+\csc \left(\frac{1}{2} x+\frac{\pi}{4}\right)$$