Question

How do you find the exact value of sin 2π/3?

Answer 1

sin at `(2pi)/3` = `sqrt3/2`

Explanation:

The exact value for sin`(2pi)/3` = `sqrt3/2`

For the unit circle sin`(2pi)/3` is in the 2nd quadrant making sine positive.

For the unit circle values on the `60^o` angles all have a value of `(1/2, sqrt3/2)` where `x=` cosine and `y=`sine

`(2pi)/3` = `120^o`

Making the sin`(2pi)/3` = `sqrt3/2`