What is the general solution for tan(x)=(-sqrt(3))/1 ?

The general solution for tan(x)=(-sqrt(3))/1 is x=(2pi)/3+pin

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tan(x)=(-sqrt(3))/1

tan (x) = \frac{- 3}{1}

x = \frac{2 π}{3} + πn

Degrees

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

Solution steps

tan (x) = \frac{- 3}{1}

Apply rule

\frac{a}{1} = a

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

\frac{( ( sin ( x ) ) )}{( a )} = k

sin (θ) = \frac{2}{2}, 0 \leq θ < 2 π

x, 10 (cos (x))^{2} + 5 cos (x) - 5 = 0

1 - \frac{cos ^{2} ( x )}{1 + sin ( x )} = 2 cos (x)

cos (x) = \frac{4}{14}

What is the general solution for tan(x)=(-sqrt(3))/1 ?
The general solution for tan(x)=(-sqrt(3))/1 is x=(2pi)/3+pin