SOLUTION: (tan^2 x - cot^2 x) / tan x + cot x = tan x - cot x, verify.

Algebra ->  Trigonometry-basics -> SOLUTION: (tan^2 x - cot^2 x) / tan x + cot x = tan x - cot x, verify.       Log On


   

Question 632972: (tan^2 x - cot^2 x) / tan x + cot x = tan x - cot x, verify.
Found 2 solutions by Edwin McCravy, Alan3354:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
%28tan%5E2%28x%29+-+cot%5E2%28x%29%29+%2F%28tan%28x%29+%2B+cot%28x%29%29 = tan(x) - cot(x)

The numerator of the left is the difference of squares.

It can be factored just like AČ - BČ = (A - B)(A + B)




Then we just cancel the (tan(x) + cot(x))'s



and all that's left is

tan(x) - cot(x)

Edwin

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(tan^2 x - cot^2 x) / tan x + cot x = tan x - cot x, verify.
-----------
Multiply by (tan + cot)