What is the general solution for 6sin(θ)=3sqrt(2) ?

The general solution for 6sin(θ)=3sqrt(2) is θ= pi/4+2pin,θ=(3pi)/4+2pin

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6sin(θ)=3sqrt(2)

6 sin (θ) = 32

θ = \frac{π}{4} + 2 πn, θ = \frac{3 π}{4} + 2 πn

Solution steps

6 sin (θ) = 32

Divide both sides by

6

sin (θ) = \frac{2}{2}

General solutions for

sin (θ) = \frac{2}{2}

θ = \frac{π}{4} + 2 πn, θ = \frac{3 π}{4} + 2 πn

x, 1 + sin^{3} (x y^{2}) = y

2 cos^{2} (θ) + 3 cos (θ) = 0

sin (\frac{2 x}{3}) - 1 = 0

4 sin^{2} (x) + 1 = 4

- sin^{2} (x) = - 3 + 3 sin^{2} (x)

What is the general solution for 6sin(θ)=3sqrt(2) ?
The general solution for 6sin(θ)=3sqrt(2) is θ= pi/4+2pin,θ=(3pi)/4+2pin