Can anyone help? I think I've used the wrong identity or rearranged incorrectly somewhere as I get 2cosechx rather than 2cothx
#Proof with hyperbolic functions
hasty lantern
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Can anyone help? I think I've used the wrong identity or rearranged incorrectly ...
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stark wren
Can anyone help? I think I've used the wrong identity or rearranged incorrectly ...
sinh(x)^2 + cosh(x)^2 is not 1.
hasty lantern
Oh wait yeah
hasty lantern
sinh(x)^2 + cosh(x)^2 is not 1.
It's cosh²x - sinh²x = 1 right?
hasty lantern
Cosh2x?
stark wren
Yup.
Many simple hyperbolic identities are just trigonometric identities with signs flipped.
Makes sense, considering how you can connect these functions.
hasty lantern
Yeah that makes sense
The trigonometric double angle formula can be applied to hyperbolic functions too right?
stark wren
Yes.
hasty lantern
Hmm I've had another go at it but I'm still not getting 2cothx
Other than sinh²x + cosh²x = cosh2x which other identities should I use for this question?
stark wren
Other than sinh²x + cosh²x = cosh2x which other identities should I use for this...
Note that you can rewrite 1 as cosh(x)^2 - sinh(x)^2.
hasty lantern
Note that you can rewrite 1 as cosh(x)^2 - sinh(x)^2.
OH
I've got it
Thanks so much
