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

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

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

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

x = \frac{π}{2} + 2 πn

Solution steps

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

Solve by substitution

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

sin (x) = 1 : x = \frac{π}{2} + 2 πn

sin (x) = - 2 :

No Solution

Combine all the solutions

x = \frac{π}{2} + 2 πn

2 csc (x) cos (x) = csc (x)

2 cot^{2} (2 x) = 6

- 3 sin (y) = 0

cos (x) = \frac{4}{9}

2 sin (x) \cdot cos (x) - cos (x) = 0

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