SOLUTION: Complete the identity below:
(csc (x+1)(csc x-1)
___________ ______ = ?
cot^2 x
Algebra.Com
Question 934207: Complete the identity below:
(csc (x+1)(csc x-1)
__________________ = ?
cot^2 x
Found 2 solutions by stanbon, gsmani_iyer:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
[(csc x+1)(csc x-1)] / cot^2 x = ?
-------------------------
(csc^2(x)-1)/cot^2(x) = x
-----
Since csc^2(x) -1 = cot^2(x),
-----
cot^2(x)/cos^2(x) = 1
====================
Cheers,
Stan H.
---------------
Answer by gsmani_iyer(201) (Show Source): You can put this solution on YOUR website!
By simplification, the numerator equals csc^2 x - 1 which is equals to cot^2 x.
Therefore, (cot^2 x) upon (cot^2 x) = 1
I hope this is clear enough. Feel free to contact for further doubts.
RELATED QUESTIONS
Verify the identity
{{{ (csc^4(x)-1)/(cot^2(x)) = 2 + cot^2(x)... (answered by Alan3354)
Verify that the trigonometric equation is an identity.
{{{ cot^2x = (csc x - 1)(csc x... (answered by lwsshak3)
Verify the identity:
{{{(1 - cos x) / (1 + cos x) = (cot x - csc... (answered by lwsshak3)
verify the identity
1.sin x sec x
2. cos x csc x =cot... (answered by stanbon)
(csc^2 x-1)sin x = cot x cos x verify the identity (answered by Alan3354)
Establish the identity (Prove two sides are equal).
(cot x + csc x -1)/(cot x - csc x... (answered by Edwin McCravy)
What statement establishes the identity
cot^2 X + csc^2 X = 1+ 2cot^2... (answered by stanbon)
Verify following is an identity.
(1++sin(x))/sin(x)=(cot^2(x))/(csc(x)-1)
(answered by lwsshak3)
Verify following is an identity.... (answered by Alan3354)