What is the general solution for cot^2(x)-3cot(x)-4=0 ?

The general solution for cot^2(x)-3cot(x)-4=0 is x=0.24497…+pin,x=(3pi)/4+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cot^2(x)-3cot(x)-4=0

cot^{2} (x) - 3 cot (x) - 4 = 0

x = 0.24497 \dots + πn, x = \frac{3 π}{4} + πn

Solution steps

cot^{2} (x) - 3 cot (x) - 4 = 0

Solve by substitution

cot (x) = 4, cot (x) = - 1

cot (x) = 4 : x = arccot (4) + πn

cot (x) = - 1 : x = \frac{3 π}{4} + πn

Combine all the solutions

x = arccot (4) + πn, x = \frac{3 π}{4} + πn

Show solutions in decimal form

x = 0.24497 \dots + πn, x = \frac{3 π}{4} + πn

cot (b) = 0.5008

\frac{1}{6 tan ^{6} ( x )} = \frac{1}{6 sec ^{6} ( x )}

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

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

- sin (2 x) - 3 cos (x) = 0

What is the general solution for cot^2(x)-3cot(x)-4=0 ?
The general solution for cot^2(x)-3cot(x)-4=0 is x=0.24497…+pin,x=(3pi)/4+pin