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

The general solution for tan(3x)= 1/(sqrt(3)) is x= pi/(18)+(pin)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{π}{18} + \frac{πn}{3}

Solution steps

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

Simplify

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

General solutions for

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

3 x = \frac{π}{6} + πn

Solve

3 x = \frac{π}{6} + πn : x = \frac{π}{18} + \frac{πn}{3}

x = \frac{π}{18} + \frac{πn}{3}

7 cot (x) - 3 = 4 cot (x)

cos (θ) + 2 cos^{2} (θ) = 1

sin (2 x) - 2 cos (x) = 0

sin^{2} (θ) - cos^{2} (θ) = 1 + cos (θ), 0 \leq θ < 2 π

csc (x) = \frac{1}{2}

What is the general solution for tan(3x)= 1/(sqrt(3)) ?
The general solution for tan(3x)= 1/(sqrt(3)) is x= pi/(18)+(pin)/3