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

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

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-sqrt(3)=tan(x)

- 3 = tan (x)

x = \frac{2 π}{3} + πn

Degrees

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

Solution steps

- 3 = tan (x)

Switch sides

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 (2 w) = 0

4 sin^{(2)} (θ) - 3 = 0

3 cos (5 t) = 0

cos^{2} (9 0^{\circ} - θ) = 1872

cos (x) - cos (x) = 0

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