Question

How do you find the solution to `5sintheta-1=1-2sintheta` if `0<=theta<360`?

Answer 1

`theta = 16.60^o and 163.40^0`

Explanation:

`5sintheta-1=1-2sintheta`
`5sintheta+2sintheta-=1+1`
`7sintheta=2`

`sintheta=2/7`

`theta=sin^-1(2/7)`

since `sintheta` is +ve value, it is in 1st and 2nd quadrants. Therefore,
`theta = 16.60^o and 163.40^0`