Question

Find the exact values of sin A and cos A. Write fractions in lowest terms. (5 points) A right triangle ABC is shown. Leg AC has length 33, leg BC has length 44, and hypotenuse AB has length 55.

sin A = four fifths ; cos A = three fifths
sin A = three fifths ; cos A = four fifths
sin A = five fourths ; cos A = five thirds
sin A = four thirds ; cos A = three fourths

Answer 1

`sin\ A = (4)/(5)\\\\cos\ A = (3)/(5)`

Solution:

Given a right triangle ABC

The figure is attached below

From given,

AC = Base = 33

BC = Perpendicular = 44

AB = hyptotenuse = 55

We know that,

`Sin\ A = (perpendicular)/(hypotenuse)\\\\Sin\ A = (44)/(55)\\\\Sin\ A = (4)/(5)`

Also,

`cos\ A = (base)/(hypotenuse)\\\\cos\ A = (33)/(55)\\\\cos\ A = (3)/(5)`

Thus the values are found