SOLUTION: Show that (cosh x)^2−(sinh x)^2= 1 for every real number x.

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Question 952828: Show that (cosh x)^2−(sinh x)^2= 1
for every real number x.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Show that (cosh x)^2 - (sinh x)^2= 1
for every real number x.
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%28e%5Ex+%2B+e%5E%28-x%29%29%5E2%2F4+-+%28e%5Ex+-+e%5E%28-x%29%29%5E2%2F4+=+1

%28e%5E%282x%29+%2B+e%5E%28-2x%29+%2B+2+-+e%5E%282x%29+%2B+e%5E%28-2x%29+%2B+2%29%2F4+=+1
4/4 = 1