# Hyperbolic Trigonometric Identity: sinh(x+y)

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• Published on Feb 20, 2021

In this video I go over the derivation for the hyperbolic trig identity sinh(x + y) = sinh(x)cosh(y) + cosh(x)sinh(y). This derivation is very similar to the one I did for cosh(x + y) in that I show how we need to think of the final result we want before we start the derivation. In other words we need to use the definition of cosh and sinh by multiplying them together to obtain sinh(x+y). Note though that in my earlier video several years back I derived this same identity but by simply working backwards proving the given identity. But in this video I work from start to finish to show how we sometimes have to think outside of the box instead of the typical linear thinking derivations; so make sure to watch this video!

View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/video-notes-hyperbolic-trigonometric-identity-sinh-x-y

Related Videos:

Hyperbolic Trigonometric Identity: cosh(x-y): https://youtu.be/GMGaQTym4d4
Hyperbolic Trigonometric Identity: cosh(x+y): https://youtu.be/B_rfrnhx-t4
Hyperbolic Functions - tanh(x), sinh(x), cosh(x) - Introduction: http://youtu.be/EmJKuQBEdlc
Hyperbolic Trigonometry Identity Proof: sinh(x+y) = sinh(x)cosh(y) + cosh(x)sinh(y): http://youtu.be/hrOId-Yp2rk
Hyperbolic Trigonometry Identity Proof: sinh(-x) = -sinh(x), cosh(-x) = cosh(x): http://youtu.be/-Wqq4Wzi7O8 .

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