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

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

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tan(2x)=sqrt(3)

tan (2 x) = 3

x = \frac{π}{6} + \frac{πn}{2}

Solution steps

tan (2 x) = 3

General solutions for

tan (2 x) = 3

2 x = \frac{π}{3} + πn

Solve

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

x = \frac{π}{6} + \frac{πn}{2}

x, tan (x) + sec (x) = 2 cos (x)

cos (θ) = - \frac{2}{2}

tan (θ) - 3 cot (θ) = 0

cot (- \frac{π}{2})

sin^{2} (x) + sin (x) = 0

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