Trigonometry, find solutions between [0/2pi]

[synergix]

Homework Statement

solve, finding all solutions between [0,2pi]
tanx=3cotx

The Attempt at a Solution

It looks like a relatively simple problem if one knew what they were doing unfortunately I do not. I am trying to think of this graphically and I figure that the places were tanx=3cotx are where the functions intersect. but how do i figure out the values?

 

[direaliete]

I would think about decomposing tan and cot in their sin & cos components and then work from there. Maybe sin^2(x)+cos^2(x)=1 might be helpful, who knows ;)

 

[Jamil (2nd)]

cotx = 1 / tanx

 

[synergix]

got it thx