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

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

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2sin(θ)=sqrt(3)

2 sin (θ) = 3

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

Solution steps

2 sin (θ) = 3

Divide both sides by

2

sin (θ) = \frac{3}{2}

General solutions for

sin (θ) = \frac{3}{2}

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

2 sin^{2} (x) - sin (x) = 0

3 tan (x) + 1 = 0

sec (2 x) = 2

cos^{2} (x) = 1 - sin (x)

cos (x) = - \frac{1}{2}

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