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

The general solution for 3tan(3x)=tan(x) is x=pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3tan(3x)=tan(x)

3 tan (3 x) = tan (x)

x = πn

Solution steps

3 tan (3 x) = tan (x)

Subtract

tan (x)

from both sides

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

Rewrite using trig identities

\frac{8 tan ( x )}{1 - 3 tan ^{2} ( x )} = 0

Solve by substitution

tan (x) = 0

tan (x) = 0 : x = πn

Combine all the solutions

x = πn

sin (x) = \frac{5}{5}, sin (2 x)

0 = 1 - cos (2 π x)

tan (θ) = \frac{12}{5}, 0 \leq θ \leq \frac{π}{2}

sin (x) = \frac{420}{2.3}

cos (x) = \frac{14}{14}

What is the general solution for 3tan(3x)=tan(x) ?
The general solution for 3tan(3x)=tan(x) is x=pin