Question

select the correct answer from each drop-down menu. consider right triangle abc. image of right triangle abc with ab=40, bc=9, ac=41, right angle at b sin(a) = drop-down menu = drop-down menu with 9/41 cos(a) = drop-down menu = drop-down menu with 40/41 reset next

Explanation:

Step1: Identify sides for angle A

Right triangle ABC, right-angled at B. For angle A: opposite side = BC = 9, adjacent side = AB = 40, hypotenuse = AC = 41.

Step2: Calculate sin(A)

sin(A) = opposite/hypotenuse = $\frac{9}{41}$

Step3: Calculate cos(A)

cos(A) = adjacent/hypotenuse = $\frac{40}{41}$

Answer:

sin(A) = opposite/hypotenuse = 9/41; cos(A) = adjacent/hypotenuse = 40/41