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

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

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

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

x = \frac{π}{2} + 2 πn

Solution steps

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

Solve by substitution

sin (x) = 1, sin (x) = - \frac{3}{2}

sin (x) = 1 : x = \frac{π}{2} + 2 πn

sin (x) = - \frac{3}{2} :

No Solution

Combine all the solutions

x = \frac{π}{2} + 2 πn

9 tan (2 x) - 18 cos (x) = 0

8 cos (2 t) - 14 sin (2 t) = 0

1 - 2 sin (θ) = 0

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

2 cos^{2} (θ) + 4 sin (θ) - 13 = 9 sin (θ) - 9

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