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

sin (x + \frac{π}{3}) = \frac{1}{2}

\frac{sin ( 4 7 ^{\circ} )}{12} = \frac{sin ( x )}{11}

cos (2 x) + 3 cos (x) = - 1

2 cos (α) = 3

(csc (θ) + 2) (3 cot (θ) + 3) = 0

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