Asked by John Rey
if f(x)=sin x, show that f(x+y)-f(x)=cos x sin y-2sin x sin^2(y/2)
Answers
Answered by
oobleck
sin(x+y) = sinx cosy + cosx siny
so, use that to get
f(x+y)-f(x) = sinx cosy + cosx siny - sinx
= cosx siny + sinx (cosy - 1)
Now use the double-angle formula to finish it off.
so, use that to get
f(x+y)-f(x) = sinx cosy + cosx siny - sinx
= cosx siny + sinx (cosy - 1)
Now use the double-angle formula to finish it off.
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