What is the general solution for 3tan^3(x)-tan^2(x)-tan(x)-1=0 ?

The general solution for 3tan^3(x)-tan^2(x)-tan(x)-1=0 is x= pi/4+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^2(x)-tan(x)-1=0

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

x = \frac{π}{4} + πn

Solution steps

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

Solve by substitution

tan (x) = 1, tan (x) = - \frac{1}{3} + i \frac{2}{3}, tan (x) = - \frac{1}{3} - i \frac{2}{3}

tan (x) = 1 : x = \frac{π}{4} + πn

tan (x) = - \frac{1}{3} + i \frac{2}{3} :

No Solution

tan (x) = - \frac{1}{3} - i \frac{2}{3} :

No Solution

Combine all the solutions

x = \frac{π}{4} + πn

cos (2 x + 60) = cos (x)

3 tan (x) - 3 cot (x) - 1 = 0

5 sin^{2} (x) + 6 cos (x) - 6 = 0

sin^{2} (x) - sin (x) cos (x) - 6 cos^{2} (x) = 0

5 cos^{2} (x) + 3 sin (x) - 3 = 0

What is the general solution for 3tan^3(x)-tan^2(x)-tan(x)-1=0 ?
The general solution for 3tan^3(x)-tan^2(x)-tan(x)-1=0 is x= pi/4+pin