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Differential Calculus

Cool goIITian

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5 Mar 2010 21:22:40 IST

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Thr period of the function f(x) = sin^4x+ cos^4x is? (please give the full solution.)

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Thr period of the function f(x) = sin^4x+ cos^4x is?(please give the full solution.)

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P Surya

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Joined: 25 Feb 2010

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5 Mar 2010 22:15:59 IST

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Is the answer [pi/2]?? If it is the answer, i will tell you how to solve!

~palash~

Cool goIITian

Joined: 11 Aug 2009

Posts: 37

5 Mar 2010 22:34:18 IST

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yes

P Surya

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Joined: 25 Feb 2010

Posts: 8

5 Mar 2010 23:08:32 IST

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f(x) = [( 1 + cos2x )^2] /4 + [( 1 - cos2x )^2] /4

Simplify it.. you will get..

f(x) = 3/4 + [cos4x]/4

The period of this function is 2[Pi]/4 =[Pi]/2

Rate me if you get the explanation :-)

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