What is the general solution for tan^2(2x)=3 ?

The general solution for tan^2(2x)=3 is x= pi/6+(pin)/2 ,x= pi/3+(pin)/2

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tan^2(2x)=3

tan^{2} (2 x) = 3

x = \frac{π}{6} + \frac{πn}{2}, x = \frac{π}{3} + \frac{πn}{2}

Solution steps

tan^{2} (2 x) = 3

Solve by substitution

tan (2 x) = 3, tan (2 x) = - 3

tan (2 x) = 3 : x = \frac{π}{6} + \frac{πn}{2}

tan (2 x) = - 3 : x = \frac{π}{3} + \frac{πn}{2}

Combine all the solutions

x = \frac{π}{6} + \frac{πn}{2}, x = \frac{π}{3} + \frac{πn}{2}

4 sin^{2} (θ) = 1

2 cos^{2} (x) - 3 cos (x) = - 1

csc^{2} (x) - csc (x) - 2 = 0

sin (a) = \frac{3}{5}

3 sec (x) = - 2

What is the general solution for tan^2(2x)=3 ?
The general solution for tan^2(2x)=3 is x= pi/6+(pin)/2 ,x= pi/3+(pin)/2