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=(3pi)/2+2pin

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

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

x = \frac{3 π}{2} + 2 πn

Solution steps

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

Solve by substitution

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

sin (x) = - 1 : x = \frac{3 π}{2} + 2 πn

sin (x) = - 2 :

No Solution

Combine all the solutions

x = \frac{3 π}{2} + 2 πn

4 sin^{2} (x) = 5 + 4 cos (x)

tan (x) + 1 = sec (x)

0 = - sin (x)

7 tan (θ) = 33 + tan (θ)

sin (3 x) - sin (x) = 0

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=(3pi)/2+2pin