4 years ago

What is 12/30 simplified

Mathematics

1 answer:

brilliants [131]4 years ago

4 0

2/5
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Find A and B if sin2xcos3x = A sin 5x + B sin x

patriot [66]

Recall that

$\sin(x+y)=\sin x\cos y+\cos x\sin y$
$\sin(x-y)=\sin x\cos y-\cos x\sin y$

Adding these together, you have

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Replace $x$ with $2x$ and $y$ with $3x$ . You end up with

$\dfrac12\sin(2x+3x)+\dfrac12\sin(2x-3x)=\sin2x\cos3x$
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and so $A=\dfrac12$ and $B=-\dfrac12$ .

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