Question

How do you find the solution to `3sintheta-sqrt3=sintheta` if `0<=theta<2pi`?

Answer 1

`pi/3 ; (2pi)/3`

Explanation:

`3sin t - sqrt3 = sin t`
`3sin t - sin t = sqrt3`
`2sin t = sqrt3`
`sin t = sqrt3/2`
`sin t = sqrt3/2` --> Trig Table gives --> `t = pi/3`
Unit circle gives another arc t that has the same sin value:
`t = (2pi)/3`
Answers for `(0, 2pi)`
`pi/3 ; (2pi)/3`