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

The general solution for tan(x)= 1/3 sqrt(3) is x= pi/6+pin

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

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

x = \frac{π}{6} + πn

Solution steps

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

Simplify

\frac{1}{3} 3 : \frac{3}{3}

\frac{1}{3} 3

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 3}{3}

Multiply:

1 \cdot 3 = 3

= \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

4 cos (y) = 0

tan (θ) = 0.4

5 cos (x) - 3 = 3

7 - 6 cos^{2} (x) = 5 sin (x)

3 + sin (θ) = 2 csc (θ)

What is the general solution for tan(x)= 1/3 sqrt(3) ?
The general solution for tan(x)= 1/3 sqrt(3) is x= pi/6+pin