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Thread: Simplify Hyperbolic Expressions.

  1. #1
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    Simplify Hyperbolic Expressions.

    Hey,

    I have not been taught simplification of hyperbolics, i understand i may have to use standard integrals such as sinhx = coshx but in reality...

    How would we go about simplifying:



    $\dfrac{2\sinh\left(a\right)\cosh\left(a\right)}{\ cosh^2\left(a\right)+\sinh^2\left(a\right)}$
    Last edited by skeeter; Feb 26th 2017 at 06:30 AM. Reason: inserted latex tags
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  2. #2
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    Re: Simplify Hyperbolic Expressions.



    hyperbolic identities ... numerator and denominator are both on the list. Once you simplify them, the final simplification is also on the list.

    Mathematics reference: Hyperbolic trigonometry identities
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    Re: Simplify Hyperbolic Expressions.

    thank you for the reference, i will learn this.
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  4. #4
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    Re: Simplify Hyperbolic Expressions.

    So, using the identities...

    2sinh(a)cosh(a) = sinh(2a)
    cosh^2(a)+sinh^2(a) = cosh(2a)

    tanh(x)=sinh(x)/cosh(x) x=2a so

    Simplified answer is, tanh(2a).
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