Friday, June 02, 2006

Difficult yet simple: Part 1

For those who take or took maths, you would probably know the following trignometric identity:


But can you complete and prove the identity below?


Tip: find out what cosh x and sinh x are defined by first.

3 Comments:

Blogger Zilko said...

sinh x = 1/2 (e^x - e^-x)

cosh x = 1/2 (e^x + e^-x)

so, sinh^2 x + cosh^2 x = 1/2 (e^2x + e^-2x)

Is that right????

note: ^=power :D

9:27 am, June 03, 2006  
Blogger Eau said...

zilko,

yep, you're essentially correct :) nice job

note: in identities, we usually define the domain as well as the function, so for all these three identites:

x is an element of the real numbers

F.

11:40 am, June 03, 2006  
Blogger Zilko said...

Woa, forgot to write the domain... x E R :)

PS--------------
Really?? Actually the dolphins in the vid are not very clear, pretty small (actually they are big enough if we watch them live, but because it's a recorded video by cellular phone, they are only looked small)... . There are some dolphins actually... :)

12:14 pm, June 03, 2006  

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