What is the general solution for tan(2x)-sqrt(3)=0 ?

The general solution for tan(2x)-sqrt(3)=0 is x= pi/6+(pin)/2

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tan(2x)-sqrt(3)=0

tan (2 x) - 3 = 0

x = \frac{π}{6} + \frac{πn}{2}

Solution steps

tan (2 x) - 3 = 0

Move

3

to the right side

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}

0 = cos (2 x)

cos (5 x) = 0

tan (2 x) + tan (x) = 0

cos^{2} (x) - \frac{1}{2} = 0

tan (θ) = \frac{3}{5}

What is the general solution for tan(2x)-sqrt(3)=0 ?
The general solution for tan(2x)-sqrt(3)=0 is x= pi/6+(pin)/2