1. Consider the polar equation \(r=3sin(2\theta)\)
(a) Complete the tables for the given values of \(\theta \). Round your answer to the nearest tenth needed.
(b) Graph the equation.
Answer:
(a)
\(\theta \) | 0 | pi/6 | pi/4 | pi/3 | pi/2 | 2pi/3 | 3pi/4 | 5pi/6 | pi |
\(r=3sin(2\theta) \) |
|
\(\theta\) | 7pi/6 | 5pi/4 | 4pi/3 | 3pi/2 | 5pi/3 | 7pi/4 | 11pi/6 | 2pi |
\(r=3sin(2\theta)\) |