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

Accepted Solution

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

 When you simplify, you obtain:


 Which is the ratio for Sin(A)? 

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