Understanding Hyperbolic Functions

[ibysaiyan]

Hyperbolic functions :(((

Homework Statement

Question is:

and

Homework Equations

Now from what i can recall the formula for sin(A+B) = sinAcosB+sinbcosA
so same goes for hyperbolic function i suppose?
sinh(2x+x) = sinh2xcoshx+cosh2xsinx
(2sinhxcoshx)coshx + (cos^2hx+sinh^2hx)sinx :/ am i on the right track... what confuses me are the identities of cosh2x .

EDIT: WOULD I USE COSH2X= 1+2SINH^2X?
CONFUSED :(
Thanks for your input in advance!

The Attempt at a Solution

 

[tiny-tim]

Hi ibysaiyan!

(try using the X² tag just above the Reply box )

Now from what i can recall the formula for sin(A+B) = sinAcosB+sinbcosA
so same goes for hyperbolic function i suppose?
sinh(2x+x) = sinh2xcoshx+cosh2xsinx
(2sinhxcoshx)coshx + (cos^2hx+sinh^2hx)sinx :/ am i on the right track... what confuses me are the identities of cosh2x .

EDIT: WOULD I USE COSH2X= 1+2SINH^2X?

You can use either (cosh²x+sinh²x) or 1 + 2sinh²x

 

[ibysaiyan]

Hi ibysaiyan!

(try using the X² tag just above the Reply box )


You can use either (cosh²x+sinh²x) or 1 + 2sinh²x

Hello there! thanks for replying but lol i have just over-confused myself :(

 

[ibysaiyan]

OHHHH I GET IT NOW.. i was subbing an 2x where actually it was just an 'x'.
Thanks for the reply though ;)