How do you solve sin 2x = 2 sin x cos xsin2x=2sinxcosx using the double angle identity?

1 Answer
Aldrich
Sep 12, 2015

{x|x in RR}

Explanation:

The double angle identity for sine is:
sin 2x = 2sinxcosx

Notice that this is the same as the equation you are trying to solve.
This means that that equation is an identity, which is always true for all values of x in its domain.

The domain of the sin and cos functions is RR.

Thus, the solutions for the equation sin 2x = 2sinxcosx are:

{x|x in RR}

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