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

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

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cos^2(θ)-sin^2(θ)=0

cos^{2} (θ) - sin^{2} (θ) = 0

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

Solution steps

cos^{2} (θ) - sin^{2} (θ) = 0

Rewrite using trig identities

cos (2 θ) = 0

General solutions for

cos (2 θ) = 0

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

Solve

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

Solve

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

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

7 = 4 sin (\frac{π}{2} (x - 2)) + 5

3 tan^{4} (x) - 3 tan^{3} (x) - tan^{2} (x) + tan (x) = 0

503 = 100 \cdot \frac{cos ( x )}{sin ( x )}

5 - cos (θ) = 5

6 sin (θ) = 2 + 2 sin (θ)

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