AfifakerJOR
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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

Verified Answer :

meerkat18

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.

boffeemadrid

Answer:

(D)  sin x°=a divided by b

Step-by-step explanation:

Given: tan x°= a divided by 4 and cos x°=4 divided by b that is:

tanx°=\(\frac{a}{4}\) and cosx°=\(\frac{4}{b}\)

Solution: Using trigonometry, we have

tanx°=\(\frac{sinx^{{\circ}}}{cosx^{{\circ}}}\)

⇒\(sinx^{{\circ}}=tanx^{{\circ}}{\times}cosx^{{\circ}}\)

Substituting the given values, we get

⇒\(sinx^{{\circ}}=\frac{a}{4}{\times}\frac{4}{b}\)

⇒\(sinx^{{\circ}}=\frac{a}{b}\)

Therefore, the value of sinx° is a divided by b.