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

The general solution for 3=6sin(θ) is θ= pi/6+2pin,θ=(5pi)/6+2pin

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3=6sin(θ)

3 = 6 sin (θ)

θ = \frac{π}{6} + 2 πn, θ = \frac{5 π}{6} + 2 πn

Solution steps

3 = 6 sin (θ)

Switch sides

6 sin (θ) = 3

Divide both sides by

6

sin (θ) = \frac{1}{2}

General solutions for

sin (θ) = \frac{1}{2}

θ = \frac{π}{6} + 2 πn, θ = \frac{5 π}{6} + 2 πn

sin (a) = \frac{1}{4}

33 sec (θ) + 4 = - 2

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

3 sin (2 θ) = 2 cos (2 θ)

cos (x) + cos^{2} (x) = 0

What is the general solution for 3=6sin(θ) ?
The general solution for 3=6sin(θ) is θ= pi/6+2pin,θ=(5pi)/6+2pin