What is the general solution for tan(x)-(sqrt(3))/3 =0 ?

The general solution for tan(x)-(sqrt(3))/3 =0 is x= pi/6+pin

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tan(x)-(sqrt(3))/3 =0

tan (x) - \frac{3}{3} = 0

x = \frac{π}{6} + πn

Degrees

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

Solution steps

tan (x) - \frac{3}{3} = 0

Move

\frac{3}{3}

to the right side

tan (x) - \frac{3}{3} = 0

Add

\frac{3}{3}

to both sides

tan (x) - \frac{3}{3} + \frac{3}{3} = 0 + \frac{3}{3}

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 (2 θ) = 0.5714

\frac{3}{1 + cos ( θ )} = 1 + 2 cos (θ)

4 - 4 cos (θ) = 6

sin^{2} (θ) - 2 sin (θ) + 1 = 0

cos (4 θ) = - \frac{1}{2}

What is the general solution for tan(x)-(sqrt(3))/3 =0 ?
The general solution for tan(x)-(sqrt(3))/3 =0 is x= pi/6+pin