sin c, in the context of trigonometry within a right-angled triangle, specifically refers to the sine of angle C. According to the provided reference, the definition of sin C is as follows:
sin C = (Side opposite to ∠C)/(Hypotenuse) = AB/AC
This means that to find the value of sin C, you would divide the length of the side opposite angle C (which is side AB) by the length of the hypotenuse (which is side AC).
Here's a breakdown:
- ∠C: Represents angle C in a right-angled triangle.
- Side opposite to ∠C: The side that does not form one of the rays of angle C. In this case, it's side AB.
- Hypotenuse: The longest side of the right-angled triangle, opposite the right angle. In this case, it's side AC.
Therefore, if you know the lengths of sides AB and AC, you can calculate sin C by dividing AB by AC.
