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

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

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

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

x = \frac{π}{2} + 2 πn

Solution steps

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

Solve by substitution

sin (x) = 2, sin (x) = 1

sin (x) = 2 :

No Solution

sin (x) = 1 : x = \frac{π}{2} + 2 πn

Combine all the solutions

x = \frac{π}{2} + 2 πn

4 sin^{2} (3 x) - 1 = 0

sin (θ) - 2 cos^{2} (θ) = - 1

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

\frac{3}{8} = cos (θ)

cos (θ) = 0.75

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