Pre calculus question??!?

Question

solve for the interval [0, 2pi]

tan^2 (2x) - 1 = 0

Answer 1

Step :1

The trigonometric equation is .

.

Let .

Substitute above values.

.

First equation .

General solutions for : .

Second equation .

General solutions for : .

The solution of the equation is

Step:2

Solution of the equation in the interval is .

Substitute in the solution of the equations.

.

.

The solution of the equation .

Solution :

The solutions of the equation .