hey all hope ur fine!!

i need ur help :

knowing that: cos (a+x) =cosa.cosx - sina.sin X show, by derivation that: sin (a+x) =sina.cos x+ cosa.sin X

anny help guys?

many thanks

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- May 16th 2007, 11:16 AMiceman1Derivee?:!
hey all hope ur fine!!

i need ur help :

knowing that: cos (a+x) =cosa.cosx - sina.sin X show, by derivation that: sin (a+x) =sina.cos x+ cosa.sin X

anny help guys?

many thanks - May 16th 2007, 11:20 AMThePerfectHacker
- May 16th 2007, 11:37 AMSoroban
Hello, iceman!

Quote:

Knowing that: .cos(a + x) .= .cos(a)·cos(x) - sin(a)·sin(x)

show by derivation that: .sin(a + x) .= .sin(a)·cos(x) + cos(a)·sin(x)

*a*is a constant.

If "by derivation" means "differentiation", the proof goes like this . . .

Differentiate the given equation:

. . . . . . . . . . .-sin(a + x) .= .cos(a)·[-sin(x)] - sin(a)·cos(x)

. . . . . . . . . . .-sin(a + x) .= .-sin(a)·cos(x) - cos(a)·sin(x)

Multiply by -1: .sin(a + x) .= .sin(a)·cos(x) + cos(a)·sin(x)