Proving the identity and finding f


Problem:

Prove the identity and find f(x)

1. (i) Prove that

                 cosh 2θ≡2 sinh2 θ+ 1

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

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Mathematics: Proving the identity and finding f
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