# Answer to Question #6315 in Algebra for Brandy

Question #6315

What is the complete solution of the equation 3 - sin θ = 5 sin θ

Expert's answer

3 - sin θ = 5 sin θ

sin θ = 3/4

θ = arcsin (3/4) + 2pi*k

θ = pi - arcsin (3/4) + 2pi*k

k - integer

sin θ = 3/4

θ = arcsin (3/4) + 2pi*k

θ = pi - arcsin (3/4) + 2pi*k

k - integer

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