# 151/04-06, F2019, WORKSHOP 2Problem 1 - The hyperbolic sine and cosine functions are defined as followse + e-2e - e-sinh xcosh2Using the above definition in terms of exponential functions show the formulasa) cosh2 z- sinh21C =ICCO= cosh 2xb) cosh2 I+sinhtonts

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Problem 1 in attached image help_outlineImage Transcriptionclose151/04-06, F2019, WORKSHOP 2 Problem 1 - The hyperbolic sine and cosine functions are defined as follows e + e- 2 e - e- sinh x cosh 2 Using the above definition in terms of exponential functions show the formulas a) cosh2 z- sinh2 1 C = IC CO = cosh 2x b) cosh2 I+sinh tonts fullscreen
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Step 1

Given,

Step 2

Part (a): To show

... help_outlineImage Transcriptionclosecosh2 x-sinh2x =1 LHS cosh2 x-sinh2 x (cosh x-sinhx)(coshx +sinh x) X -x e -e e e e -e e +e 2 2 2 2 ex e-e e e e e e 2 2 2e 2e* 2 2 = e.e* -x+x = e = e° =1 = RHS fullscreen

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