Question

Evaluate the function requested. Write your answer as a fraction in lowest terms. Find Cos B

Answer 1

Answer: cos(B) = 9 / 41

Reasoning:

1) Remember the definition of the ratio cosine:

For a right triangle, cos(x) = adjacent-leg / hypotenuse.

2) The figure shows that for the angle B, the adjacent leg is 27 and the hypotenuse is 123.

3) So, use the formula to find cos(B):

cos(B) = 27/123.

4) Simplify the fraction: 27 / 123 = 9 / 41.

Answer: 9 / 41

Answer 2

We have
Cos B=27/123
27=3^3
123=3*41
27/123=3^3/(3*41)=3^2/(41)=9/41

Cos B=9/41