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

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

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

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

x = \frac{π}{2} + 2 πn

Solution steps

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

Solve by substitution

sin (x) = 1, sin (x) = - 3

sin (x) = 1 : x = \frac{π}{2} + 2 πn

sin (x) = - 3 :

No Solution

Combine all the solutions

x = \frac{π}{2} + 2 πn

10 (1 - cos (x)) = sin^{2} (x)

2 sin (4 x) = 0

9 \cdot csc (x) = 63, (- \infty, \infty)

cos (2 x - \frac{π}{2}) = 1

tan (x) = - 2

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