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Which expression does (sin x)(cos 2x) + (cos x)(sin 2x) simplify to?

Which expression does (sin x)(cos 2x) + (cos x)(sin 2x) simplify to?-example-1

1 Answer

4 votes

According to trigonometric identities, the given expression is equivalent to the sine of the sum of the angles involved.

In this case those angles are x and 2x. It means that the expression is sin(x+2x) which is the same as sin(3x).

The correct answer is the third choice.

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User Dean Peters
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