What is the general solution for cot^2(x)=sqrt(3)cot(x) ?

The general solution for cot^2(x)=sqrt(3)cot(x) is x= pi/6+pin,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^2(x)=sqrt(3)cot(x)

cot^{2} (x) = 3 cot (x)

x = \frac{π}{6} + πn, x = \frac{π}{2} + πn

Solution steps

cot^{2} (x) = 3 cot (x)

Solve by substitution

cot (x) = 3, cot (x) = 0

cot (x) = 3 : x = \frac{π}{6} + πn

cot (x) = 0 : x = \frac{π}{2} + πn

Combine all the solutions

x = \frac{π}{6} + πn, x = \frac{π}{2} + πn

tan (θ) = \frac{4}{3}, π < θ < \frac{3 π}{2}

3 csc (x) - 4 = 0

sin (x) = \frac{7}{8}

3 cos (2 x) - 2 cos^{2} (x) - 5 = 2 cos^{2} (x) - 7

sin (3 x + 48) = cos (1 0^{\circ} - x)

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