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

The general solution for tan^2(x)=sqrt(3) is x=0.92103…+pin,x=-0.92103…+pin

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tan^2(x)=sqrt(3)

tan^{2} (x) = 3

x = 0.92103 \dots + πn, x = - 0.92103 \dots + πn

Solution steps

tan^{2} (x) = 3

Solve by substitution

Combine all the solutions

Show solutions in decimal form

x = 0.92103 \dots + πn, x = - 0.92103 \dots + πn

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

5 sin (2 x) = cos (x)

2 sin (x + \frac{π}{3}) = - 1

cot^{2} (a) = cos^{2} (a) + cos (a) cos (a)

cot (x) \cdot tan (2 x) = 3

What is the general solution for tan^2(x)=sqrt(3) ?
The general solution for tan^2(x)=sqrt(3) is x=0.92103…+pin,x=-0.92103…+pin