Prove The Identities Below: Sinh (x+y) Sinhx Coshy Coshx ... - Numerade

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Prove the identities below: sinh (x+y) = sinhx coshy + coshx sinhy cosh (x-y) = coshxcosh sinh x sinh y Then use them to show the following: sinh Zx 2 = sinh_ coshx cosh 2x = cosh X+ sinh Start by proving the first identity: sinh (x+y) = sinhxcoshy - coshx sinhy Use the fact that sinhx = exponential Rewrite the left side sinh (x +y), using In 2x sinh (x+y) Substitute_ Prove the identities below: sinh (x+y) = sinhx coshy + coshx sinhy cosh (x-y) = coshxcosh sinh x sinh y Then use them to show the following: sinh Zx 2 = sinh_ coshx cosh 2x = cosh X+ sinh Start by proving the first identity: sinh (x+y) = sinhxcoshy - coshx sinhy Use the fact that sinhx = exponential Rewrite the left side sinh (x +y), using In 2x sinh (x+y) Substitute_ Show more…

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Calculus: Early Transcendentals James Stewart 8th Edition

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Now, let's find sinh(x+y): sinh(x+y) = (e^(x+y) - e^(-(x+y)))/2 = (e^x * e^y - e^(-x) * e^(-y))/2 Now let's find sinh(x)cosh(y) + cosh(x)sinh(y): sinh(x)cosh(y) + cosh(x)sinh(y) = (e^x - e^(-x))/2 * (e^y + e^(-y))/2 + (e^x + e^(-x))/2 * (e^y - Show more…

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Submit Thanks for your feedback! Prove the identities below: sinh (x+y) = sinhx coshy + coshx sinhy cosh (x-y) = coshxcosh sinh x sinh y Then use them to show the following: sinh Zx 2 = sinh_ coshx cosh 2x = cosh X+ sinh Start by proving the first identity: sinh (x+y) = sinhxcoshy - coshx sinhy Use the fact that sinhx = exponential Rewrite the left side sinh (x +y), using In 2x sinh (x+y) Substitute_ Play audio Feedback Powered by NumerAI

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