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Prove the following identities:cos( - )

mira013

by mira013 at November 24, 2009

I combined them: cos -cos =(cos =sin x-cos x) So,
(sin x- cos x) - the square root of (1+cos a /2) I don't know how to solve it from there.



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First, combine the parenthesis portion into one fraction.

LBeaN LBeaN November 24, 2009

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Lbean, you didn't answer the question!!

leeseuh leeseuh November 24, 2009

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They want you to use the subtraction formula Cos (A-B) =Cos(A) Cos(B) + Sin(A)Sin(B) Therefore Cos(pi/2-x/2) =Cos(pi/2)Cos(x/2) + sin(pi/2)sin(x/2) = 0 * Cos(x/2) + 1 *Sin(x/2) = Sin(x/2)  since we don't know what x is, we have to leave the answer in this form.

The_Engineer The_Engineer November 26, 2009

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