Question

How do you find the solution to `4(sintheta+1)=6-sintheta` if `0<=theta<2pi`?

Answer 1

`theta= arc sin (2/5), pi- arc sin (2/5)`

Explanation:

Simplify the expression first by solving it for `sintheta`,

`4sin theta +4= 6-sin theta`

`5sin theta=2`

`sin theta = 2/5`

This gives the solution, `theta= arc sin (2/5)`. The other solution in the given interval would be `pi- arc sin(2/5)`