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Magazine Problem 40
Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\sin \theta=-1,0 \leq \theta \leq 4 \pi$$
Problem 41
Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\cos \theta=-1,0 \leq \theta \leq 4 \pi$$
Problem 42
Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\cos \theta=0,0 \leq \theta \leq 4 \pi$$
Problem 43
In Exercises \(29-46,\) graph the functions over the indicated intervals. \(y=2 \sec (2 x-\pi),-2 \pi \leq x \leq 2 \pi\) one period one period
Problem 43
Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\tan \theta=-1,0 \leq \theta \leq 2 \pi$$
Problem 44
Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\cot \theta=1,0 \leq \theta \leq 2 \pi$$
Problem 45
Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\sec \theta=-\sqrt{2}, 0 \leq \theta \leq 2 \pi$$
Problem 46
In Exercises \(29-46,\) graph the functions over the indicated intervals. $$y=-\frac{2}{3} \csc \left(4 x-\frac{\pi}{2}\right),-\pi \leq x \leq \pi$$
Problem 46
Use the unit circle to find all of the exact values of \(\theta\) that make the equation true in the indicated interval. $$\csc \theta=\sqrt{2}, 0 \leq \theta \leq 2 \pi$$
Problem 47
In Exercises \(47-56,\) graph the functions over at least one period. $$y=3-2 \sec \left(x-\frac{\pi}{2}\right)$$
