Question

Find the exact value of sin 240 degrees?

Answer 1

`-sqrt3/2`

Explanation:

.

We have a double angle identity that says:

`sin2x=2sinxcosx`

We can use it if we consider `2x=240^@, :. x=120^@`:

`sin240^@=2sin120^@cos120^@=2(sqrt3/2)(-1/2)=-sqrt3/2`