Which is greater cos(sinx) or sin(cosx)

Trigonometric ratios and functions, the unit circle, inverse trig functions, identities, trig graphs, etc.
Zargon
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Which is greater cos(sinx) or sin(cosx)

Postby Zargon » Fri Nov 27, 2009 12:59 am

Which is greater cos(sinx) or sin(cosx)

Through graphing and using a table of values i have determined that cos(sinx) is greater, but i do not know how to do it algebraically. Any help is appreciated.
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Edited by stapel. Reason for edit: Copying question from subject line into post.

nona.m.nona
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Re: Which is greater cos(sinx) or sin(cosx)

Postby nona.m.nona » Fri Nov 27, 2009 12:16 pm

The proof involves using trig identities, and gets pretty nasty. See if you can follow what was done on Nick's Mathematical Puzzles.


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