SOLUTION: Can someone help me with: Find all solutions of the equation in the interval [0,2pi) cosx(cotx-sqrt3)=0 I got pi/2 , pi/6 and it was marked wrong.

Question 803236: Can someone help me with: Find all solutions of the equation in the interval [0,2pi)
cosx(cotx-sqrt3)=0
I got pi/2 , pi/6 and it was marked wrong.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find all solutions of the equation in the interval [0,2pi)
cosx(cotx-sqrt3)=0
------------
cos(x) = 0 --> x = pi/2, 3pi/2
---
cot(x) = sqrt(3)
tan(x) = sqrt(3)/3
x = pi/6, x = 7pi/6

RELATED QUESTIONS
Find all solutions of each equation in the interval [0, 2pi)... (answered by lwsshak3)

Find all solutions of the equation in the interval [0, 2pi)... (answered by lwsshak3)

Find all solutions of each of the equations in the interval (0, 2pi) cos(x- pi/2) +... (answered by lwsshak3)

could you help me find all the solutions in the interval [0, 2pi)... (answered by lwsshak3)

Find all solutions of the following equation: tan (theta/8) +sqrt3 = 0. find the... (answered by lwsshak3)

Find all solutions of the equation in the interval [0, 2pi). secTHETA + sqrt 2 = 0 (answered by Alan3354)

Hi tutors, this is a extra points question for a quiz, but my professor never teaches us... (answered by Edwin McCravy,KMST)

Find all solutions of the equation in the interval [0, 2 pi) -sin2x+2cosx=0 (answered by ikleyn)

Find the exact solutions of the given equation in the interval [0,2pi). cos2x+3cosx+2=0 (answered by ewatrrr)