2 years ago

Substitute this equation y=-2x-12 if y=-8

Mathematics

1 answer:

lozanna [386]2 years ago

6 0

Answer:

x=-2

Step-by-step explanation:

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2 years ago

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

$\sin(x+y)+\sin(x-y)=2\sin x\cos y$
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Replace $x$ with $2x$ and $y$ with $3x$ . You end up with

$\dfrac12\sin(2x+3x)+\dfrac12\sin(2x-3x)=\sin2x\cos3x$
$\sin2x\cos3x=\dfrac12\sin5x+\dfrac12\sin(-x)=\dfrac12\sin5x-\dfrac12\sin x$

and so $A=\dfrac12$ and $B=-\dfrac12$ .

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