If tan x° = and cos x° = , what is the value of sin x°?

Asked by maham237 @ in Mathematics viewed by 359 People

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

Answered by maham237 @


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.


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