Simplify using a pythagorean identity and manipulating the problem. (tan x-cot x)/(tan x+cot x) + 2 cos^2 x i can't seem to figure this one out, so show your work so i can understand how to do this in the future! !

    refresh if the display below is not working properly.======since  and      let us work on getting rid of those little denominators in the complex fraction.multiply the entire numerator and denominator of the big fraction by  to cancel out the  in denominators. this will distribute.    we still have  the denominator, so multiply numerator and denominator by      the pythagorean identity tells us that  therefore we can replace that boxed part with 1.    and  are like terms that sum to get  . then we use the pythagorean identity again.   

Google it that might work