3 years ago

Which expression is equivalent to cos(3x) sin x?

Mathematics

2 answers:

ArbitrLikvidat [17]3 years ago

7 0

Answer:

Step-by-step explanation: I tried all the other options and this was the only correct one for me on Edmentum.

LuckyWell [14K]3 years ago

4 0

Answer:

$\frac{1}{2} [sin(4x)-sin(2x)]$

Step-by-step explanation:

Use the Product-Sum identity to turn cos(3x) sin x into a sum.

Formula: cos(u) + sin(v) = $\frac{1}{2}[sin(u+v)-sin(u-v)]$

Plug 4x and 2x for u and v into the formula: $\frac{1}{2}[sin(3x+x)-sin(3x-x)]$

Simplify: $\frac{1}{2}[sin(4x)-sin(2x)]$

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