Respuesta :

Using a trigonometric identity, the equivalent expression to sin(2x)cos(x) is:

2sin(x)cos²(x).

What is the trigonometric identity for sin(2x)?

The trigonometric identity for sin(2x) is given by:

sin(2x) = 2sin(x)cos(x).

Hence the equivalent expression is found as follows:

sin(2x)cos(x) = 2sin(x)cos(x)cos(x) = 2sin(x)cos²(x).

More can be learned about trigonometric identities at https://brainly.com/question/26676095

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