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

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

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

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

x = \frac{3 π}{2} + 2 πn

Solution steps

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

Rewrite using trig identities

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

tan^{2} (x) - 3 = 0, 0 < x < \frac{π}{2}

3 cot^{2} (x) = 7 csc (x) - 7

sin (x) = 0.86

2 sin (2 θ) + 3 = 0

sin^{2} (x) + 4 sin (x) + 3 = 0

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