Given:
A figure of right triangle with terminal angle [tex]\theta[/tex], base u, perpendicular v and hypotenuse r.
To find:
The value of [tex]\sin \theta[/tex].
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
Substituting Perpendicular = v and hypotenuse = r in the above formula, we get
[tex]\sin \theta=\dfrac{v}{r}[/tex]
The value of [tex]\sin \theta[/tex] is [tex]\dfrac{v}{r}[/tex].
Therefore, the correct option is B.
