Which is the ratio for sin A, written as a fraction in simplest form?

Solution:

Given, ABC is a triangle right angled at C.

We have to find the ratio of sin A.

By using the trigonometric ratio,

sin θ = opposite/hypotenuse

From the figure,

The opposite leg will be CB.

CB = 8√3

The hypotenuse will be AB

AB = 16

Now, sin A = CB/AB

= 8√3 / 16

= √3/2

Therefore, the value of sin A is √3/2.

Which is the ratio for sin A, written as a fraction in simplest form?

Summary:

The ratio for sin A, written as a fraction in simplest form is √3/2.