Question

How do you solve `costhetasintheta=3costheta` from `0<=theta<=360`?

Answer 1

`90^@, 270^@`

Explanation:

Bring equation to standard form
cos t.sin t - 3cos t = 0
cos t(sin t - 3) = 0
Use calculator and unit circle -->
a. cos t = 0 --> `t = 90^@` and `t = 270^@`
b. sin t - 3 = 0 --> sin t = 3 (rejected because > 1)
Answers for (0, 360):
`90^@, 270^@`