Determine all the values of θ in the following equation if 0≤θ<2π. −12sin2θ+5=−4

Question

Determine all the values of θ in the following equation if 0≤θ<2π.

−12sin2θ+5=−4

Answer 1

-12 sin 2 θ + 5 = -4

-12 sin 2θ = - 9

sin 2 θ = 0.75

2 θ = 48.59 → θ = 24.30

2 θ = 131.40 → θ = 65.70