SOLUTION: rewrite {{{sin(A)cos(2A)+ cos(A)sin(2A)}}} as a single trigonometric ratio

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Question 169395: rewrite sin%28A%29cos%282A%29%2B+cos%28A%29sin%282A%29 as a single trigonometric ratio
Answer by Edwin McCravy(6938) About Me  (Show Source):
You can put this solution on YOUR website!


sin%28A%29cos%282A%29%2B+cos%28A%29sin%282A%29

Use the identity 

sin%28alpha%2Bbeta%29=sin%28alpha%29cos%28beta%29%2Bcos%28alpha%29sin%28beta%29

with alpha=A and beta=2A

sin%28A%2B2A%29=sin%28A%29cos%282A%29%2Bcos%28A%29sin%282A%29

The right side is what you are asking, so the
answer is the left side sin%28A%2B2A%29, or

sin%283A%29

Edwin