Question

Please help me with this equation

Answer 1

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