Given that `sin30^(@)=1//2` and `cos 30^(@)=sqrt3//2`. Determine the values of `sin 60^(@), sin 120^(@), sin 240^(@), sin 300^(@)`, and `sin (-30^(@))`.

Explanation

To solve the problem step by step, we will use the properties of sine and cosine functions along with the given values of `sin 30°` and `cos 30°`.

### Step 1: Determine `sin 60°`
We know that:
\[ \sin 60° = \sin(90° - 30°) \]
Using the co-function identity:
...