Question

Find the exact values of sin A and cos A. Write fractions in lowest terms. A right triangle ABC is shown. Leg AC has length 24, leg BC has length 32, and hypotenuse AB has length 40.

Answer 1

In this question , it is given that

A right triangle ABC is shown. Leg AC has length 24, leg BC has length 32, and hypotenuse AB has length 40.

And we have to find the values of sin A and cos A .

$sin A = \frac{opposite}{hypotenuse} = \frac{32}{40}$

$sin A = \frac{4}{5}$

And

$cos A = \frac{adjacent}{hypotenuse} = \frac{24}{40}$

$cos A = \frac{3}{5}$

And these are the required values of sin A and cos A .

Answer 2

Sin A = 32/40 = 4/5

cos A = 24/40 = 6/10 = 3/5