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 \leq 2 π

x = \frac{π}{6}, x = \frac{7 π}{6}

Solution steps

tan (x) = \frac{1}{3}, 0 \leq x \leq 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 \leq 2 π

x = \frac{π}{6}, x = \frac{7 π}{6}

2 sin (x) + 2 = 3 cos^{2} (x)

4 sin (2 x) + 5 cos (2 x) = 0

sin (x) = cot (x)

2 cos^{2} (\frac{x}{2}) - 3 cos (x) = 0

1 = cos (θ)

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