Question

Find the value of each trigonometric ratio.
cos C
45
27
36

Answer 1

cos C = 4/5

Hence, the third option i.e. 4/5 is correct.

Explanation:

Given the right triangle ΔABC

Given

• Ф = ∠C

• The hypotenuse = 45

• The side adjacent to ∠C is 36.

We know the trigonometric ratio such as

cos Ф = adjacent / hypotenuse

substitute Ф = C, adjacent = 36, and hypotenuse = 45

cos C = 36 / 45

cos C = [9 × 4] / [9 × 5]

cancel the common factor: 9

cos C = 4/5

Thus,

cos C = 4/5

Hence, the third option i.e. 4/5 is correct.