Find an equation for a sinusoidal function that has period \( 2 \pi \), amplitude 1 , and contains the point \( \left(-\frac{\pi}{2}, 3\right) \)

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

\( \theta=\frac{2 \pi}{7} \) radians, \( \omega=\frac{2 \pi}{3} \) radian per minute Use formula \( \omega=\frac{\theta}{t} \) to find the value of the missing variable.

\( 2 \cos ^ { 2 } x - 1 \geq 0 \)

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, \( t=3 \mathrm{sec} \)

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