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

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

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

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

x = 2 πn, x = π + 2 πn

Solution steps

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

Subtract

3

from both sides

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

Rewrite using trig identities

- 2 sin^{2} (x) = 0

Divide both sides by

- 2

sin (x) = 0

General solutions for

sin (x) = 0

x = 0 + 2 πn, x = π + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn, x = π + 2 πn

4 sin^{2} (x) + 6 sin (x) + 2 = 0

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

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

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

tan^{2} (x) + 2 tan (x) + 1 = 0

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