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

The general solution for 3cot^2(x)-1=0 is x=1.04719…+pin,x=2.09439…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3cot^2(x)-1=0

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

x = 1.04719 \dots + πn, x = 2.09439 \dots + πn

Solution steps

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

Solve by substitution

cot (x) = \frac{1}{3}, cot (x) = - \frac{1}{3}

cot (x) = \frac{1}{3} : x = arccot (\frac{1}{3}) + πn

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

Combine all the solutions

x = arccot (\frac{1}{3}) + πn, x = arccot (- \frac{1}{3}) + πn

Show solutions in decimal form

x = 1.04719 \dots + πn, x = 2.09439 \dots + πn

cos (\frac{5 π}{8})

cot (\frac{3 π}{2})

cot (18 0^{\circ})

cot (- π)

cos (θ) = - 1

What is the general solution for 3cot^2(x)-1=0 ?
The general solution for 3cot^2(x)-1=0 is x=1.04719…+pin,x=2.09439…+pin