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

The general solution for tan(x)= 1/(sqrt(3)),0<= x<2pi is x= pi/6 ,x=(7pi)/6

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tan(x)= 1/(sqrt(3)),0<= x<2pi

tan (x) = \frac{1}{3}, 0 \leq x < 2 π

x = \frac{π}{6}, x = \frac{7 π}{6}

Solution steps

tan (x) = \frac{1}{3}, 0 \leq x < 2 π

Simplify

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

General solutions for

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

x = \frac{π}{6} + πn

Solutions for the range

0 \leq x < 2 π

x = \frac{π}{6}, x = \frac{7 π}{6}

- 2 sin (2 x) = 2 π

arccos (θ) = \frac{17}{18}

cos (θ) = - \frac{2}{9}

y = sin (x), x

5 sin (y) cos (y) = 2

What is the general solution for tan(x)= 1/(sqrt(3)),0<= x<2pi ?
The general solution for tan(x)= 1/(sqrt(3)),0<= x<2pi is x= pi/6 ,x=(7pi)/6