# Hyperbolic Sine Function

• Nov 9th 2008, 06:42 AM
magentarita
Hyperbolic Sine Function
The hyperbolic sin function, designated by sinh x, is
sinh x = (1/2) (e^x - e^(-x)).

Show that f(x) = sinh x is an odd function.
• Nov 9th 2008, 08:58 AM
Krizalid
An odd function satisfies \$\displaystyle f(x)=-f(-x),\$ that's all you need to solve your problem, show your work.
• Nov 9th 2008, 09:19 PM
magentarita
Are you...
Quote:

Originally Posted by Krizalid
An odd function satisfies \$\displaystyle f(x)=-f(-x),\$ that's all you need to solve your problem, show your work.

Are you saying for me to replace x with -x in the given function and simplify?
• Nov 9th 2008, 09:38 PM
Chris L T521
Quote:

Originally Posted by magentarita
Are you saying for me to replace x with -x in the given function and simplify?

(Yes)

--Chris

(You also do this in your other question concerning Hyperbolic Cosine)
• Nov 10th 2008, 08:08 AM
magentarita
ok...
Quote:

Originally Posted by Chris L T521
(Yes)

--Chris

(You also do this in your other question concerning Hyperbolic Cosine)

I'll try it and get back to you.