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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
 = 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)   (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)
RELATED QUESTIONS

cot x -tan x =... (answered by edjones)
Verify the identity.... (answered by lwsshak3)
Verify the identity. cot (x- (pi/2)) = -tan... (answered by Boreal)
Verify tan^2x-cot^2x/tanx+cotx=tanx-cot... (answered by stanbon,lwsshak3,Fombitz)
If tan x + cot x = 2, then find the value tan^17 x + cot^17... (answered by MathLover1,ikleyn)
Proofs (tan x + tan y)/(cot x + cot... (answered by richard1234)
if cot(tan(x)) =tan(cot(x)), then sin(2x) =..... (answered by Edwin McCravy)
prove the identity [cot(X) + cot(Y)] / [tan(X) + tan(Y)] = cot(X)cot(Y) (answered by Alan3354)
Verify each identity Csc x Tan x ---------------- = cot^2 x Sec... (answered by Edwin McCravy)