Question

Compare the quantity in column A with the quantity in column B. Choose the best answer.

The quantity in column A is greater.
The quantity in column B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.

Answer 1

Explanation:

Sin(A) = opposite / hypotenuse

opposite = 4

hypotenuse = 5

Sin(A) = 4/5 = 0.8

Cos(B) = adjacent / hypotenuse.

adjacent = 4

hypotenuse = 5

Cos(B) = 4/5 = 0.8

Believe it or not, this will always happen if you take Sin(A) and find that Cos(90 - A) are equal

Take a simpler case. Suppose you are working with a 30 60 90 triangle.

Cos(60) = Sin(90 - 60) = 1/2

Answer 2

(c) The two quantities are equal.

Explanation:

The sine of an angle is equal to the cosine of its complement. In a right triangle, the acute angles are complementary, which means ...

sin(A) = cos(B)

The two quantities are equal.