Solving Arc Tangent Squared: tan(2x) - 3cot(2x) = 0

[asd1249jf]

Homework Statement

tan(2x) - 3 cot (2x) = 0

Homework Equations

Trigonometry Knowledge.

The Attempt at a Solution

tan(2x) - 3cot(2x) = 0
tan(2x) - 3/tan(2x) = 0

[tan(2x)]^2 - 3 = 0

[tan(2x)]^2 = 3


Is there such thing as Arc Tangent that's squared??

 

[vela]

Sure. Why not?

 

[asd1249jf]

so [arctan(3)]^2 = arctan(3) * arctan(3)

?

 

[vela]

What you wrote is true, but it has nothing to do with how you'd solve the problem.

Try setting u=tan 2x, so your equation becomes u²=3. Then solve for u, and then solve for x.