SOLUTION: Verify each identity Csc x Tan x ----------- ---- = cot^2 x Sec x

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Question 971382: Verify each identity
Csc x Tan x
---------------- = cot^2 x
Sec x
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
csc%28x%29tan%28x%29%2Fsec%28x%29%22%22=%22%22cot%5E2%28x%29

Use csc%28x%29=1%2Fsin%28x%29, tan%28x%29=sin%28x%29%2Fcos%28x%29, sec%28x%29=1%2Fcos%28x%29  on the left side:


%28+%281%2Fsin%28x%29%29%28sin%28x%29%2Fcos%28x%29%29%29%2F%281%2Fcos%28x%29%29

Cancel:



That leaves:

+%281%2Fcos%28x%29%29%2F%281%2Fcos%28x%29%29

Divide by inverting and multiplying:

+%281%2Fcos%28x%29%29%2A%28cos%28x%29%2F1%29

Cancel:

+%281%2Fcross%28cos%28x%29%29%29%2A%28cross%28cos%28x%29%29%2F1%29

That leaves just

1

Oh oh! Therefore this is NOT an identity!

There is a typo.  Check the problem again.

Is it exactly as you typed it? Does it say "Verify each identity"?
Or does it say "Solve the equation?"

You may correct the typo in the thank-you note form just below, and
if you do, I will get back to you.

Edwin