What is the general solution for cot^3(x)+cot(x)=0 ?

The general solution for cot^3(x)+cot(x)=0 is x= pi/2+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cot^3(x)+cot(x)=0

cot^{3} (x) + cot (x) = 0

x = \frac{π}{2} + πn

Solution steps

cot^{3} (x) + cot (x) = 0

Solve by substitution

cot (x) = 0, cot (x) = i, cot (x) = - i

cot (x) = 0 : x = \frac{π}{2} + πn

cot (x) = i :

No Solution

cot (x) = - i :

No Solution

Combine all the solutions

x = \frac{π}{2} + πn

21 + 18 cos (x) = 16 (1 - cos^{2} (x))

sin (2 a + 10) = cos (3 a - 20)

b = \frac{3}{( cot ( x ) )}

4 sin^{2} (x) + cos (x) + 1 = 0

(cot^{2} (x)) - csc (x) = 1

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