What is the general solution for sin^2(x)=2sin(x)+3 ?

The general solution for sin^2(x)=2sin(x)+3 is x=(3pi)/2+2pin

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sin^2(x)=2sin(x)+3

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

x = \frac{3 π}{2} + 2 πn

Solution steps

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

Solve by substitution

sin (x) = 3, sin (x) = - 1

sin (x) = 3 :

No Solution

sin (x) = - 1 : x = \frac{3 π}{2} + 2 πn

Combine all the solutions

x = \frac{3 π}{2} + 2 πn

2 cos^{2} (θ) - sin (θ) = 1

cosh (x) = 0

cos (x) = \frac{5}{13}

3 sin (x) + cos (x) = 1

sin (t) = \frac{1}{2}

What is the general solution for sin^2(x)=2sin(x)+3 ?
The general solution for sin^2(x)=2sin(x)+3 is x=(3pi)/2+2pin