Hyperbolic Trigonometric Identity: cosh(x+y)

3

  • 22
  • 0
  • 0.668
  • Reply

  • Download Open in the desktop app ADD TO PLAYLIST

    mes

    Published on Feb 26, 2021
    About :

    In this video I go prove the hyperbolic trigonometric identity cosh(x+y) = cosh x cosh y + sinh x + sinh y. I had proved same identity several years back in my earlier video, but that proof simply involved back-calculating that the identity was correct. In this video though, I show how to go about proving the identity without knowing the final result. I show this by illustrating that the cosh(x + y) involves a multiplication of exponents, which can also result by multiplying cosh and sinh functions together in several variations. Thus I show how to reverse a foil expansion process and ultimately obtain cosh(x+y) in terms of cosh x, cosh y, sinh x, and sinh y. This is a very interesting proof video in that I show that we need to think ahead at what we ultimately want before we begin attempting to derive an identity; so make sure to watch this video!

    Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhvtVnszc8jhu0oC3-Q

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

    Related Videos:

    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: cosh(x+y) = cosh(x)cosh(y) + sinh(x)sinh(y): http://youtu.be/UEHQ8SSqDXc .


    SUBSCRIBE via EMAIL: https://mes.fm/subscribe

    DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

    Like, Subscribe, Favorite, and Comment Below!

    Follow us on:

    MES Truth: https://mes.fm/truth
    Official Website: https://MES.fm
    Hive: https://peakd.com/@mes
    Gab: https://gab.ai/matheasysolutions
    Minds: https://minds.com/matheasysolutions
    Twitter: https://twitter.com/MathEasySolns
    Facebook: https://fb.com/MathEasySolutions
    LinkedIn: https://mes.fm/linkedin
    Pinterest: https://pinterest.com/MathEasySolns
    Instagram: https://instagram.com/MathEasySolutions
    Email me: contact@mes.fm

    Free Calculators: https://mes.fm/calculators

    BMI Calculator: https://bmicalculator.mes.fm
    Grade Calculator: https://gradecalculator.mes.fm
    Mortgage Calculator: https://mortgagecalculator.mes.fm
    Percentage Calculator: https://percentagecalculator.mes.fm

    Free Online Tools: https://mes.fm/tools

    iPhone and Android Apps: https://mes.fm/mobile-apps

    Tags :

    mathematics calculus science stemgeeks messcience

    Woo! This creator can upvote comments using 3speak's stake today because they are a top performing creator! Leave a quality comment relating to their content and you could receive an upvote worth at least a dollar.

    Their limit for today is $0!
    Comments:
    Time until mes can give away $0 to their commenters.
    0 Days 0 Hours 0 Minutes 0 Seconds
    Reply:

    To comment on this video please connect a HIVE account to your profile: Connect HIVE Account

    More Videos

    06:45
    5 views a year ago $
    05:05
    19 views a year ago $
    05:21
    mes
    7 views a year ago $