Answer:
θ = π/6 or 5π/6
Explanation:
2 sin^2 (θ) + 5 sin (θ) = 3
First step to solving for the solution is by factoring.
Since these are both sin functions, this equation can be rewritten like this:
2 sin^2 (θ) + 5 sin (θ) = 3 → sin (θ) (2 sin(θ) + 5) = 3.
Then
sin (θ) (2 sin(θ) + 5) - 3 = 0
θ = π/6 + 2πn, θ = 5π/6 + 2πn