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

The general solution for tan(x)=-sqrt(3) is x=(2pi)/3+pin

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tan(x)=-sqrt(3)

tan (x) = - 3

x = \frac{2 π}{3} + πn

Degrees

x = 12 0^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = - 3

General solutions for

tan (x) = - 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{2 π}{3} + πn

x = \frac{2 π}{3} + πn

sin (3 5^{\circ})

sin (\frac{7 π}{4})

cot (\frac{π}{6})

cot (\frac{π}{2})

sin (\frac{9 π}{2})

What is the general solution for tan(x)=-sqrt(3) ?
The general solution for tan(x)=-sqrt(3) is x=(2pi)/3+pin