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

The general solution for tan(x)=-(sqrt(3))/3 is x=(5pi)/6+pin

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

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

x = \frac{5 π}{6} + πn

Degrees

x = 15 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{5 π}{6} + πn

x = \frac{5 π}{6} + πn

cos^{3} (x) - cos (x) = 0

sin (x) (sin (x) + 1) = 0

sin (3 x) + sin (x) = 0

2 cos^{2} (x) + 3 cos (x) + 1 = 0

2 sin (x) + 1 = 0

What is the general solution for tan(x)=-(sqrt(3))/3 ?
The general solution for tan(x)=-(sqrt(3))/3 is x=(5pi)/6+pin