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

The general solution for 3tan^3(x)=tan(x) is x=pin,x=(5pi)/6+pin,x= pi/6+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3tan^3(x)=tan(x)

3 tan^{3} (x) = tan (x)

x = πn, x = \frac{5 π}{6} + πn, x = \frac{π}{6} + πn

Solution steps

3 tan^{3} (x) = tan (x)

Solve by substitution

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

tan (x) = 0 : x = πn

tan (x) = - \frac{3}{3} : x = \frac{5 π}{6} + πn

tan (x) = \frac{3}{3} : x = \frac{π}{6} + πn

Combine all the solutions

x = πn, x = \frac{5 π}{6} + πn, x = \frac{π}{6} + πn

sin (2 x) = - \frac{3}{2}, 0 \leq x \leq 2 π

sec (9 0^{\circ})

\frac{sin ( 0 )}{0}

sin (1 8^{\circ})

2 + cos^{2} (x) = 3 sin^{2} (x)

What is the general solution for 3tan^3(x)=tan(x) ?
The general solution for 3tan^3(x)=tan(x) is x=pin,x=(5pi)/6+pin,x= pi/6+pin