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

The general solution for sin^2(a)-cos^2(a)=1 is a= pi/2+pin

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sin^2(a)-cos^2(a)=1

sin^{2} (a) - cos^{2} (a) = 1

a = \frac{π}{2} + πn

Solution steps

sin^{2} (a) - cos^{2} (a) = 1

Rewrite using trig identities

- cos (2 a) = 1

Divide both sides by

- 1

cos (2 a) = - 1

General solutions for

cos (2 a) = - 1

2 a = π + 2 πn

Solve

2 a = π + 2 πn : a = \frac{π}{2} + πn

a = \frac{π}{2} + πn

arcsin (x) = - 1

2 cos^{2} (x) + sin^{2} (x) = 1

3 \cdot tan^{2} (x) = 1

2 \cdot 3 sin (v) + 2 cos (v) = 22

2 csc^{3} (x) + 21 csc^{2} (x) + 55 csc (x) + 42 = 0

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