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

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

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

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

x = \frac{π}{3} + πn

Solution steps

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

Simplify

\frac{\frac{3}{2}}{\frac{1}{2}} : 3

General solutions for

tan (x) = 3

x = \frac{π}{3} + πn

tan (2 x) + sec (2 x) = 11

- 8 sin (x) + 8 cos (2 x) = 0

tan^{2} (x) + 2 sec (x) + 2 = 0

sin (θ) = 1 + cos (θ)

7 cos (2 x) = 7 cos^{2} (x) - 3

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