Find an equation for a sinusoidal function that has period \( 3 \pi \), amplitude 3 , and contains the point \( \left(-\frac{3 \pi}{2}, 0\right) \)

[1] the opposite figure: I ABO is righteangled at \( \mathrm{A}, \mathrm{A}(6,3) \) , then \( \tan (2 \mathrm{AOB})=\ldots \ldots \ldots \ldots \ldots \)

Find the exact values of the six trigonometic functions for the following angle. \[ 330^{\circ} \]

\( 37 \sin ( \alpha + \beta ) \cdot \sin ( \alpha - \beta ) = \cos ^ { 2 } \beta - \cos ^ { 2 } \alpha \)

\( \tan \theta=\frac{8}{15} \), given that \( \theta \) is in quadrant III

Question 36, 3.4.7 Part 1 of 3 Suppose that point \( P \) is on a circle with radius \( r \), and ray \( O P \) is rotating with angular speed \( \omega \). Complete parts (a) through (c). \( \mathrm{r}=8 \mathrm{~cm}, \omega=\frac{\pi}{8} \) radian per sec, \( t=3 \mathrm{sec} \)