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

The general solution for cos^2(x)-sin^2(x)=0 is x= pi/4+pin,x=(3pi)/4+pin

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

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

x = \frac{π}{4} + πn, x = \frac{3 π}{4} + πn

Solution steps

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

Rewrite using trig identities

cos (2 x) = 0

General solutions for

cos (2 x) = 0

2 x = \frac{π}{2} + 2 πn, 2 x = \frac{3 π}{2} + 2 πn

Solve

2 x = \frac{π}{2} + 2 πn : x = \frac{π}{4} + πn

Solve

2 x = \frac{3 π}{2} + 2 πn : x = \frac{3 π}{4} + πn

x = \frac{π}{4} + πn, x = \frac{3 π}{4} + πn

tan (θ) = 2 sin (θ)

cos (x) = \frac{- 1}{2}

csc (x) - 2 = 0

sin (x) - sin (2 x) = 0

tan (x) = 2 sin (x)

What is the general solution for cos^2(x)-sin^2(x)=0 ?
The general solution for cos^2(x)-sin^2(x)=0 is x= pi/4+pin,x=(3pi)/4+pin