Question

How is sin calculated?

Answer 1

The sine of an angle :

To calculate the sine of an angle we have to know the length of the side opposite to the angle and the hypotenuse of the right triangle.

Sin (Angle) = Side opposite to angle/Hypotenuse side

In a right-angled triangle, sine function is defined as the ratio of the opposite side and hypotenuse, with respect to the angle.

Suppose, a right triangle$XYZ$ as given below:

Therefore, from the above figure, we can find the sine of angle c and a such that;

$$\begin{gathered} Sinc=\frac{XY}{XZ} \\ Sina=\frac{YZ}{XZ} \end{gathered}$$