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

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

Answer 2

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