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

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

7 sin (2 x) = - 2

sin (θ) = - \frac{( 2 )}{( 5 )}, tan (θ) > 0

(sin (x) + cos (x)) = 1

sin (θ) = 0.72437

cos (x) = \frac{5}{12}

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