Question

Solve the equation: sin 3θ = $\frac{\sqrt{3}}{2}$, θ ∈[-π, π]

Answer 1

Answer:

θ = n60⁰ + (-1)ⁿ 20⁰, n is an integer

Step-by-step explanation:

Formula used:

The solution of sin θ = sin∅ is

θ = n∏+ (-1)ⁿ ∅

sin 3θ = √3/2

sin 3θ = sin60⁰

3θ = n180⁰ + (-1)ⁿ 60⁰, n is an integer

∴ θ = n60⁰ + (-1)ⁿ 20⁰, n is an integer

I hope this answer helps you