What is the general solution for tan(x)=(6*sqrt(3))/6 ?

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

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tan(x)=(6*sqrt(3))/6

tan (x) = \frac{6 \cdot 3}{6}

x = \frac{π}{3} + πn

Degrees

x = 6 0^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = \frac{6 3}{6}

Divide the numbers:

\frac{6}{6} = 1

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{π}{3} + πn

x = \frac{π}{3} + πn

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

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

2 + cos (2 x) = - 3 cos (x)

tan (\frac{3 x}{2} + \frac{π}{2}) = 1

2 tan^{2} (x) + sec^{2} (x) = 2

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