If tan x° = a divided by 4 and cos x°=4 divided by b, what is the value of sin x°?

A.) sin x° = 4b

B.) sin x°=b divided by a

C.) sin x° = 4a

D.) sin x°=a divided by b

We are given with the expressions above and translate them into

tan x = a / 4 and

cos x = 4 = b

According to the trigonometric identities, tan x = sin x / cos x, hence

sinx = tan x * cos x = (a/4) * 4 or equal to a. The answer is C. 4a.