What is the general solution for sin^2(x)+3cos(x)-1=2 ?

The general solution for sin^2(x)+3cos(x)-1=2 is x=2pin

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

sin^{2} (x) + 3 cos (x) - 1 = 2

x = 2 πn

Solution steps

sin^{2} (x) + 3 cos (x) - 1 = 2

Subtract

2

from both sides

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

Rewrite using trig identities

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

Solve by substitution

cos (x) = 1, cos (x) = 2

cos (x) = 1 : x = 2 πn

cos (x) = 2 :

No Solution

Combine all the solutions

x = 2 πn

cot^{2} (θ) - 3 csc (θ) + 3 = 0

x, arctan (x) + arctan (y) = \frac{π}{2}

2 sin (x) = 2 sin (2 x)

3 cos (2 x) - 1 = 0

2 cos^{2} (x) = 2

What is the general solution for sin^2(x)+3cos(x)-1=2 ?
The general solution for sin^2(x)+3cos(x)-1=2 is x=2pin