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

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

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2-sin(θ)=3sin(θ)

2 - sin (θ) = 3 sin (θ)

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

Solution steps

2 - sin (θ) = 3 sin (θ)

Solve by substitution

sin (θ) = \frac{1}{2}

sin (θ) = \frac{1}{2} : θ = \frac{π}{6} + 2 πn, θ = \frac{5 π}{6} + 2 πn

Combine all the solutions

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

- cos (\frac{x}{2}) + sin (\frac{x}{2}) = \frac{2}{5}

\frac{35}{sin ( 9 0 ^{\circ} )} = \frac{27}{sin ( y )}

4 cos^{2} (x) + 2 cos (x) - 22 cos (x) = 2

sin (x + 2 0^{\circ}) \cdot csc (7 0^{\circ}) = 1

\frac{π}{2} = \frac{arcsin ( x )}{c}

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