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

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

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

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

x = \frac{π}{6} + πn

Degrees

x = 3 0^{\circ} + 18 0^{\circ} n

Solution steps

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

General solutions for

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

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

x = \frac{π}{6} + πn

x = \frac{π}{6} + πn

- sin (x) = 0

cot (x) + 1 = 0

cos (x) = - \frac{2}{2}

cos (x) (cos (x) - 1) = 0

cot (x) = 0

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