91Ó°ÊÓ

For angles of the following measures, state in which quadrant the terminal side lies. It helps to sketch the angle in standard position. $$187^{\circ}$$

Determine the amplitude, the period, and the phase shift of the function and, without a graphing calculator, sketch the graph of the function by hand. Then check the graph using a graphing calculator. $$y=\sin x+1$$

Sketch a unit circle and mark the points determined by the given real numbers. a) \(\frac{\pi}{2}\) b) \(\frac{5 \pi}{4}\) c) \(2 \pi\) d) \(\frac{9 \pi}{4}\) e) \(\frac{13 \pi}{4}\) f) \(\frac{23 \pi}{4}\)

Determine the amplitude, the period, and the phase shift of the function and, without a graphing calculator, sketch the graph of the function by hand. Then check the graph using a graphing calculator. $$y=-3 \cos x$$

For angles of the following measures, state in which quadrant the terminal side lies. It helps to sketch the angle in standard position. $$-120^{\circ}$$

For angles of the following measures, state in which quadrant the terminal side lies. It helps to sketch the angle in standard position. $$315^{\circ}$$

Find the function value using coordinates of points on the unit circle. Give exact answers. $$\cot \frac{7 \pi}{6}$$

Convert to radian measure. Leave the answer in terms of \(\pi\). $$200^{\circ}$$

Find the function value using coordinates of points on the unit circle. Give exact answers. $$\cos 10 \pi$$

Convert to radian measure. Leave the answer in terms of \(\pi\). $$6.3^{\circ}$$