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

sin A = 32/40 = 4/5

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

Answer 2

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  = (opposite)/(hypotenuse) = (32)/(40)`

`sin A = (4)/(5)`

And

`cos A = (adjacent)/(hypotenuse) = (24)/(40)`

`cos A = (3)/(5)`

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