Answer:
The ratio equivalent to the sin of ∠A will be:
sin ∠A = BC / AB
Hence, option 3) is correct.
Explanation:
We know that some of the trigonometric ratios such as
- sin Ф = Opposite / Hypotenuse
- cos Ф = Adjacent / Hypotenuse
- tan Ф = Opposite / Adjacent
In our case
Ф = ∠A
As we have to determine the ratio equivalent to the sin of ∠A
so
sin Ф = Opposite / Hypotenuse
Here:
Ф = ∠A
Opposite of ∠A = BC
Hypotenuse = AB
Thus,
substituting Ф = ∠A, Opposite = BC, Hypotenuse = AB
sin Ф = Opposite / Hypotenuse
sin ∠A = BC / AB
Therefore, the ratio equivalent to the sin of ∠A will be:
sin ∠A = BC / AB
Hence, option 3) is correct.