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how do you prove sin(a+b+c)=sinacosbcosc+cosasinbcosc+cosacosbsinc-sinasinbsinc?
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First substitute a+b = p, and find sin(p+c).
Your answer will be in terms of sinp, cosp, sinc, and cosc.
Replace the sin(p)'s with sin(a+b)'s and the cos(p)'s with cos(a+b)'s, and then use the addition identities to get an answer in terms of sines and cosines of a, b and c.
Why did the vector cross the road?
It wanted to be normal.
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thanks
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