Question

A right triangle ABC is shown. Leg AC has length 18, leg BC has length 24, and hypotenuse AB has length 30. Find the exact values of sin A and cos A. Write fractions in lowest terms.

Answer 1

Although there i no triangle given as the question requires, I am still going to answer because I understand it.

ABC is a right angled triangle. The triangle is 90° at C.

The trigonometric ratio sine is given by, sine = opposite/hypotenuse .
Cosine = adjacent/hypotenuse
 
So therefore, Sin A = 24/30
                               = 4/5

                     Cos A = 18/30
                               = 3/5

Answer 2

To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem above: The leg AC has length 18, the leg BC has length 24, and the hypotenuse AB has length 30.

 2. Therefore, you have:

 - You have that SinA is:

 SinA=Opposite/Hypotenuse
 SinA=24/30
 SinA=4/5

 - You have that CosA is:

 CosA=Adjacent/Hypotenuse
 CosA=18/30
 CosA=3/5