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

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

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solvefor x,tan(x)=-sqrt(3)

solve for

x, 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

- 9 sin^{2} (x) - 5 cos (x) + 5 = 0

cos (t) = - \frac{3}{5}

2 - sin (θ) = 3 sin (θ)

- cos (\frac{x}{2}) + sin (\frac{x}{2}) = \frac{2}{5}

\frac{35}{sin ( 9 0 ^{\circ} )} = \frac{27}{sin ( y )}

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