Question

For a right triangle ABC, you are told that cos A = x and sin A = y. Which option below gives an expression that is equivalent to tan A? a. x/y b. y/x c. x/√x^2+y^2 d. y/√x^2+y^2

Answer 1

B

Explanation:

We know that

cos A = adjacent / hypotenuse

sin A = opposite / hypotenuse

Therefore, sin A / cos A =

(opposite / hypotenuse) / (adjacent / hypotenuse)

= (opposite/hypotenuse) * (hypotenuse / adjacent)

= opposite / adjacent

= tan A

Therefore, tan A = sin A / cos A = y/x