Problem 60
Find all the values of \(\theta\) between \(-\pi\) and 2\(\pi\) for which \(\sin \theta=3 \sin \theta .\) Show your work.
Problem 64
Sketch each angle in standard position. $$ -75^{\circ} $$
Problem 65
An angle of \(120^{\circ}\) is in standard position. What are the coordinates of the point at which the terminal side intersects the unit circle? \(\begin{array}{llll}{\text { A. } \frac{1}{2}, \frac{\sqrt{3}}{2}} & {\text { B. }\left(-\frac{1}{2},-\frac{\sqrt{3}}{2}\right)} & {\text { C. }\left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right)} & {\text { D. }\left(-\frac{1}{2}, \frac{\sqrt{3}}{2}\right)}\end{array}\)
Problem 65
Sketch each angle in standard position. $$ 150^{\circ} $$
Problem 65
Graph each function in the interval from 0 to 2\(\pi .\) Describe any phase shift and vertical shift in the graph. $$ y=-2 \sec (x-4) $$
Problem 67
Sketch each angle in standard position. $$ -85^{\circ} $$
Problem 67
Graph each function in the interval from 0 to 2\(\pi .\) Describe any phase shift and vertical shift in the graph. $$ y=\cot 2(x+\pi)+3 $$