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

Find an angle \( \theta \) with \( 0^{\circ}<\theta<360^{\circ} \) that has the same: Sine function value as \( 290^{\circ} \) \( \theta=\square \) degrees Cosine function value as \( 290^{\circ} \) \( \theta=\square \) degrees

Sine function value as \( 320^{\circ} \) \( \theta=\square \) degrees Cosine function value as \( 320^{\circ} \) \( \theta=\square \) degrees

Sine function value as \( 290^{\circ} \) \( \theta=\square \) degrees

Sine function value as \( 320^{\circ} \) \( \theta=\square \) degrees

Find an angle \( \theta \) with \( 0^{\circ}<\theta<360^{\circ} \) that has the same: Sine function value as \( 170^{\circ} \) \( \theta=\square \) degrees Cosine function value as \( 170^{\circ} \) \( \theta=\square \) degrees