SOLUTION: Find all solutions in the interval [0, 2π) (increasing order) for the equation below. Enter DNE in any empty blank. 9 cot^3 x = 3 cot x x = x = x = x = x

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Question 931431: Find all solutions in the interval [0, 2π) (increasing order) for the equation below. Enter DNE in any empty blank.
9 cot^3 x = 3 cot x
x =
x =
x =
x =
x =
x =
Thank you

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Find all solutions in the interval [0, 2π) (increasing order) for the equation below. Enter DNE in any empty blank.
9 cot^3 x = 3 cot x
divide both sides by 3 cot x
3cot^2(x)=1
cot^2(x)=1/3
x=±√(1/3)=±1/√3
x=π/3+2πn,n=any integer
x=2π/3+2πn,n=any integer
x=4π/3+2πn,n=any integer
x=5π/3+2πn,n=any integer

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