Mathematics, 07.03.2021 07:40 serafimharmane4944
The Build-Your-Own-Sailboat booth that Althea visited gave her and hers friend the chance to make a sailboat model. Each boy chose a different quadrilateral for a sail. Althea chose a trapezoid, and her friend chose a parallelogram.
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Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .
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The Build-Your-Own-Sailboat booth that Althea visited gave her and hers friend the chance to make a...
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