Question

Based on the diagram, what is sinA ?

Enter your answer as a fraction in the boxes.

Answer 1

sinA =
`(a)/(c)`

Explanation:

sinA =
`(opposite)/(hypotenuse)` =
`(BC)/(AB)` =
`(a)/(c)`

Answer 2

For this case, we have that by definition:

`Sine (x) = \frac {Cathet \ opposite \ to \ angle \ x} {Hypotenuse}`

In this case we are asked to find the expression as a function of angle A.

Observing the figure we have:

`Sine (A) = \frac {a} {c}`

In an equivalent way we have:

`Sine (A) = \frac {BC} {BA}`

ANswer:

`Sine (A) = \frac {a} {c}\\Sine (A) = \frac {BC} {BA}`