What is the general solution for tan(1/2 x)-sqrt(3)=0 ?

The general solution for tan(1/2 x)-sqrt(3)=0 is x=(2pi)/3+2pin

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tan(1/2 x)-sqrt(3)=0

tan (\frac{1}{2} x) - 3 = 0

x = \frac{2 π}{3} + 2 πn

Solution steps

tan (\frac{1}{2} x) - 3 = 0

Move

3

to the right side

tan (\frac{1}{2} x) = 3

General solutions for

tan (\frac{1}{2} x) = 3

\frac{1}{2} x = \frac{π}{3} + πn

Solve

\frac{1}{2} x = \frac{π}{3} + πn : x = \frac{2 π}{3} + 2 πn

x = \frac{2 π}{3} + 2 πn

2 cos (2 θ) = 6 cos (θ) - 4

5 sin (θ) - 4 = 2 sin (θ) - 6

cos (2 θ) - cos (4 θ) = 0

tan (x) = 1.4

sin (θ) = 0.71

What is the general solution for tan(1/2 x)-sqrt(3)=0 ?
The general solution for tan(1/2 x)-sqrt(3)=0 is x=(2pi)/3+2pin