MATH SOLVE

4 months ago

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

Accepted Solution

A:

When you have a right triangle (A triangle which has a angle of 90°), you can find the "Sine". This is one of the basi trigonometric ratios. By definition, the Sine is:

Sin(α)=Opposite leg/Hypotenuse

You want to find Sin(A), so the opposite leg will be 8√3 and the hypotenuse will be 16.

When you substitue these values, you have:

Sin(α)=Opposite leg/Hypotenuse

Sin(A)=8√3/16

When you simplify, you obtain:

Sin(A)=4√3/8

Sin(A)=2√3/4

Sin(A)=√3/2

Which is the ratio for Sin(A)?

The answer is: The ratio for Sin(A) is √3/2

Sin(α)=Opposite leg/Hypotenuse

You want to find Sin(A), so the opposite leg will be 8√3 and the hypotenuse will be 16.

When you substitue these values, you have:

Sin(α)=Opposite leg/Hypotenuse

Sin(A)=8√3/16

When you simplify, you obtain:

Sin(A)=4√3/8

Sin(A)=2√3/4

Sin(A)=√3/2

Which is the ratio for Sin(A)?

The answer is: The ratio for Sin(A) is √3/2