SOLUTION: Please explain how to find all solutions in the interval [0, 2π) (increasing order) for the equation below. Enter DNE in any empty blank. 21 cot^3 x = 7 cot x THANKS!

Algebra ->  Trigonometry-basics -> SOLUTION: Please explain how to find all solutions in the interval [0, 2π) (increasing order) for the equation below. Enter DNE in any empty blank. 21 cot^3 x = 7 cot x THANKS!      Log On


   

Question 925748: Please explain how to find all solutions in the interval [0, 2π) (increasing order) for the equation below. Enter DNE in any empty blank.
21 cot^3 x = 7 cot x
THANKS!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
21 cot^3 x = 7 cot x
21 cot^2 x = 7
cot^2 x = 7/21
tan^2 x = 21/7
tan x = ± √3
find all solutions in the interval [0, 2π)
(cosx, sinx) Summary Unit Circle for Your Reference: tan x = sin x/cos x
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