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

The general solution for tan^2(x)-sin^2(x)=0 is x=2pin,x=pi+2pin

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

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

x = 2 πn, x = π + 2 πn

Solution steps

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

Factor

tan^{2} (x) - sin^{2} (x) : (tan (x) + sin (x)) (tan (x) - sin (x))

(tan (x) + sin (x)) (tan (x) - sin (x)) = 0

Solving each part separately

tan (x) + sin (x) = 0 or tan (x) - sin (x) = 0

tan (x) + sin (x) = 0 : x = 2 πn, x = π + 2 πn

tan (x) - sin (x) = 0 : x = 2 πn, x = π + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn

cos (x) = 0, cos (x) = 0

sec^{2} (x) + 4 = 6

8 sin (θ) - 4 csc (θ) = 0

2 cos (θ) = sin (θ)

- 4 cos (c) + 8 = cos (c) + 8

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