(Solved): 1. Give Cartesian coordinates for the point with polar coordinates \( (r, \theta) \) given by \( P ...

1. Give Cartesian coordinates for the point with polar coordinates \( (r, \theta) \) given by \( P\left(3, \frac{5 \pi}{6}\right) \). 2. Give polar coordinates for the point with Cartesian coordinates \( (x, y) \) given by \( U(-4,-3) \). 3. Solve the equation for a value of \( \theta \) for \( 0 \leq \theta \leq 4 \pi \). Provide your answer in DEGREES, to 2 decimal places. a. \( 5 \sin (3 \theta)=4 \) \( / 6 \) b. \( 6 \cos (3 \theta)-3=3 \cos (3 \theta)-4 \)