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

The general solution for tan(2x)=2tan(x) is x=pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(2x)=2tan(x)

tan (2 x) = 2 tan (x)

x = πn

Solution steps

tan (2 x) = 2 tan (x)

Subtract

2 tan (x)

from both sides

tan (2 x) - 2 tan (x) = 0

Rewrite using trig identities

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

Solve by substitution

tan (x) = 0

tan (x) = 0 : x = πn

Combine all the solutions

x = πn

- 4 cos (c) - 12 = 2 cos (c) - 6

tan (- 3 x) = 3

sin (A) = \frac{11}{61}

y, x = arctan (y)

cos (θ) - tan (θ) cos (θ) = 0

What is the general solution for tan(2x)=2tan(x) ?
The general solution for tan(2x)=2tan(x) is x=pin