Solve exactly over the indicated interval:

Question

2sinx+cscx=3, 0<theta<360

Answer 1

2sin+1/sin=3
2sin^2 - 3sin + 1 = 0
(2sin-1)(sin-1) = 0

sinx = 1/2 or 1

now it's a cinch, right?

Answer 2

sort of :/ how did you get from 1/sin=3 to 3sin+1 ?