Question

How do you find the solution to `10sintheta+1=3-2sintheta` if `0<=theta<2pi`?

Answer 1

`9^@59, 179^@41`

Explanation:

10sin t + 1 = 3 - 2sin t
12sin t = 2
`sin t = 2/12 = 1/6`
Calculator -->
`sin t = 1/6` --> `t = 9^@59`
Unit circle gives another t that has the same sin value:
`t = 180 - 9.59 = 179^@41`