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

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

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3sin(θ)-sqrt(3)=sin(θ)

3 sin (θ) - 3 = sin (θ)

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

Solution steps

3 sin (θ) - 3 = sin (θ)

Solve by substitution

sin (θ) = \frac{3}{2}

sin (θ) = \frac{3}{2} : θ = \frac{π}{3} + 2 πn, θ = \frac{2 π}{3} + 2 πn

Combine all the solutions

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

cos (x) = \frac{15}{17}

6 cos (θ) - 3 = 0

3 cos (θ) + 3 = 2 sin^{2} (θ)

- 33 + 7 csc (\frac{θ}{5} + 2 3^{\circ}) = 53

10 sin (x) tan (x) + tan (x) = 0

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