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.

Algebra ->  Formulas -> 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.       Log On


   

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) About Me  (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
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cos(x) = 0 --> x = pi/2, 3pi/2
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cot(x) = sqrt(3)
tan(x) = sqrt(3)/3
x = pi/6, x = 7pi/6