Question

How do you find the exact value of `sin (5pi)/3`?

Answer 1

0 for `sin(5pi)/3` and `-(sqrt3)/2` for `sin((5π)/3)`

Explanation:

`sin(5pi)/3=0/3=0`

as `sin(kpi)=0` for all integer values of k

For `sin((5π)/3)`,

`sin((5π)/3)=sin((6π-π)/3)`
`=sin(2π-π/3)`
`=-sin(π/3)`
`=-sqrt3/2`