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

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

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

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

x = \frac{π}{6} + πn

Degrees

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

Solution steps

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

Switch sides

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

- 5 sin (t) + 6 cos (t) = 0

2 + 2 sin (θ) = 4 sin (θ)

18617 = \frac{50}{2 π} \cdot (1 + 1 - 1 - cos (x))

sin (5 x) = cos (x)

12 \cdot tan (x) = 1

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