What is the general solution for 3cot^2(x)-9=0 ?

The general solution for 3cot^2(x)-9=0 is x= pi/6+pin,x=(5pi)/6+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3cot^2(x)-9=0

3 cot^{2} (x) - 9 = 0

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

Solution steps

3 cot^{2} (x) - 9 = 0

Solve by substitution

cot (x) = 3, cot (x) = - 3

cot (x) = 3 : x = \frac{π}{6} + πn

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

Combine all the solutions

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

\frac{2}{5} = cos (θ)

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

cos (x) = \frac{6}{7}

2 cos (x) + 1 = sin (x)

csc^{2} (x) = 2 csc (x)

What is the general solution for 3cot^2(x)-9=0 ?
The general solution for 3cot^2(x)-9=0 is x= pi/6+pin,x=(5pi)/6+pin