Trig equation

1. Jul 21, 2012

Aaron H.

1. The problem statement, all variables and given/known data

Solve, finding all solutions in [0, 2pi)

2. Relevant equations

sqrt (cot x) = (3)^(1/4)

3. The attempt at a solution

[sqrt (cot x) = (3)^(1/4)]^4 =

sqrt [cot^2 x = 3] =

cot x = +/- sqrt (3)

x = pi/6, 5pi/6, 7pi/6, 11pi/6

the answer choices to this problem only have two angles each, so two of the angles I derived aren't necessary

2. Jul 21, 2012

Bohrok

Since the original problem has (cot x), the solution can't include the values corresponding to cot x = -√3.