Question

Using Figure 1, complete the following function.

sin θ=
A. u/r
B. v/r
C. u/v
D. r/v
E. v/u
F. r/u

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=(Perpendicular)/(Hypotenuse)`

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

`\sin \theta=(v)/(r)`

The value of
`\sin \theta` is
`(v)/(r)`.

Therefore, the correct option is B.