What is the general solution for sin^2(x)-3sin(x)+2=0 ?

The general solution for sin^2(x)-3sin(x)+2=0 is x= pi/2+2pin

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sin^2(x)-3sin(x)+2=0

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

x = \frac{π}{2} + 2 πn

Solution steps

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

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

sin (θ) = \frac{1}{5}

sin (4 x) = sin (2 x)

cos^{2} (x) = sin^{2} (x) - \frac{2}{2}

cos (2 θ) - sin (θ) = 0

tan (θ) = - \frac{2 3}{3} sin (θ)

What is the general solution for sin^2(x)-3sin(x)+2=0 ?
The general solution for sin^2(x)-3sin(x)+2=0 is x= pi/2+2pin