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

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

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

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

x = 2 πn, x = π + 2 πn

Solution steps

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

Subtract

1

from both sides

cos^{2} (x) - 3 sin^{2} (x) - 1 = 0

Rewrite using trig identities

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

Divide both sides by

- 4

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

sin (\frac{x}{6}) = 0

(tan (θ) - 1) (sec (θ) - 1) = 0, 0 \leq θ \leq 2 π

cos (θ) = \frac{4.4}{11}

x, cos^{3} (x) - cos (x) = 0

- 6 sin^{2} (θ) - 3 = sin (θ) - 5

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