Mathematics, 03.08.2019 09:40 ldsimms12
Identify the pattern and find the next number in the pattern. 0.9, 3.6, 14.4, 57.6
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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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Identify the pattern and find the next number in the pattern. 0.9, 3.6, 14.4, 57.6...
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