Question

for all values of theta where 0degrees<theta<360degrees

2sin^2 theta -3sintheta = -1

Answer 1

This is a quadratic which factors ...

2sin^2 Ø - 3sinØ + 1 = 0
(2sinØ - 1)(sinØ - 1) = 0
sinØ = 1/2 or sinØ = 1
Ø = 30° or 150° or Ø = 90°