Question

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

Answer 1

`{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}`