What is the general solution for 6tan(x)=2sqrt(3) ?

The general solution for 6tan(x)=2sqrt(3) is x= pi/6+pin

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6tan(x)=2sqrt(3)

6 tan (x) = 23

x = \frac{π}{6} + πn

Degrees

x = 3 0^{\circ} + 18 0^{\circ} n

Solution steps

6 tan (x) = 23

Divide both sides by

6

6 tan (x) = 23

Divide both sides by

6

\frac{6 tan ( x )}{6} = \frac{2 3}{6}

Simplify

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

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

General solutions for

tan (x) = \frac{3}{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}{6} + πn

x = \frac{π}{6} + πn

tan (- 3 x) = 1

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

x, sin (x) = 2

(2 sin (x) - 1) = 0

x, sin (x) = y

What is the general solution for 6tan(x)=2sqrt(3) ?
The general solution for 6tan(x)=2sqrt(3) is x= pi/6+pin