Question

2) Find the value of a and b using the trigonometric functions:

Answer 1

The answer to your question is a = 9.456; b = 7.388

Explanation:

Process

1.- To find "a" and "b" we must use the trigonometric functions sine and cosine.

sin Ф =
`(opposite side)/(hypotenuse)`

cos Ф =
`(adjacent side)/(hypotenuse)`

2.- Determine "a"

a = adjacent side = hypotenuse x cos Ф

a = 12 x 0.788

a = 9.456

3.- Determine "b"

b = hypotenuse x sin Ф

b= 12 x 0.616

b = 7.388