Question

Using Figure 1, complete the following function.

Answer 1

Given:

A figure of right triangle with terminal angle $\theta$, base u, perpendicular v and hypotenuse r.

To find:

The value of $\sin \theta$.

Solution:

In a right angle triangle,

$\sin \theta=\dfrac{Perpendicular}{Hypotenuse}$

Substituting Perpendicular = v and hypotenuse = r in the above formula, we get

$\sin \theta=\dfrac{v}{r}$

The value of $\sin \theta$ is $\dfrac{v}{r}$.

Therefore, the correct option is B.