SOLUTION: Find all solutions of the equation in the interval [0,2π) 3 cot^2 x-9 = 0

Algebra.Com
Question 1108591: Find all solutions of the equation in the interval [0,2π)
3 cot^2 x-9 = 0

Found 2 solutions by Alan3354, Zakia B.:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find all solutions of the equation in the interval [0,2π)
3 cot^2 x-9 = 0
cot^2(x) = 3
tan^2(x) = 1/3
tan(x) = +sqrt(3)/3
x = pi/6, 7pi/6
-----
tan(x) = -sqrt(3)/3
x = 5pi/6, 11pi/6

Answer by Zakia B.(1)   (Show Source): You can put this solution on YOUR website!
3 cot^2 x-9 = 0
cot^2(x) = 3
tan^2(x) = 1/3
tan(x) = +sqrt(3)/3
x = pi/6, 7pi/6
-----
tan(x) = -sqrt(3)/3
x = 5pi/6, 11pi/6

RELATED QUESTIONS

Find all solutions in the interval [0, 2π) (increasing order) for the equation... (answered by lwsshak3)
Find all solutions of the equation in the interval [0, 2π). 6 sec ^2 x + 3 tan ^2... (answered by Alan3354)
find all solutions of the equation in the interval [0,π):... (answered by solver91311)
Please explain how to find all solutions in the interval [0, 2π) (increasing order)... (answered by ewatrrr)
Find all solutions of the equation in the interval [0, 2π) sin(x + π/4)... (answered by lwsshak3)
Find all solutions of the equation in the interval [0, 2π). 6 cos ^2 x + 3 cos x... (answered by ikleyn)
Find all solutions of the equation in the interval 0, 2pi 3 cot theta -5=0 (answered by stanbon)
Find all solutions of the equation in the interval [0,2π) 2 csc 3x - 4 sqrt 3/3 = (answered by Alan3354)
Find all solutions of the equation in the interval [0,2π) square root of 3 sec... (answered by ikleyn)