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Prove the identity and find f(x)

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7. (i) Prove that
cosh 2 2 sinh2 + 1

(ii) A chain hangs in a shape called a catenary, the equation of which is
f(x) = a cosh ( / a)
Determine the value of x when f(x) = 48 and a = 35.

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7. (i) Prove that
cosh 2  2 sinh2  + 1
Solution:

We know that cosh(x + y) = cosh(x) cosh(y) + sinh(x) sinh(y)
Let ...

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