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Mathematics, 29.11.2020 14:00 tlgbulldog38
Applications of the Pythagorean Theorem - Tutorial - Level H
Approximate the distance between the points (8, 3) and
(9,-2) to the nearest tenth of a unit.
First find the length of the horizontal leg and the length of the vertical leg.
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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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Applications of the Pythagorean Theorem - Tutorial - Level H
Approximate the distance between the p...
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