At first glance it looks like you are doing the following:
which isn't valid. Try again, paying attention to the algebra, not the trig.
This isn't relevant to your problem, but tan / cot doesn't equal 1.
Firstly, thank you for looking at my question! I am new here and although I seem to be able to pick up mathematical concepts rather well, this one problem is absolutely impossible for me to figure out. I know the answer - I just don't know how to get there! I created an image of my problem so its easier to see what I am talking about. Here is the equation:
Essentially, what I am able to get is this:
(sin^2 x)/(cos^2 x) = tan^2 x
-(tan x)/ -(cot x) = 1
tan^2 x - 1 does not equal tan^2 x
Any help would be super greatly appreciated, thank you very much!