Hyperbolic Trigonometric Identity: sinh(x+y)

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    mes

    Published on Feb 20, 2021
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    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!

    Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhvwZUa6EG1pWW-hq7Q

    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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