Answer:
The correct answer is option A
Cos A = 24/25 and Tan A = 7/24
Step-by-step explanation:
<u>Trigonometric ratio</u>
Sinθ = Opposite side/Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ = Opposite side/Adjacent side
From the figure we get,
Sin A = 7/24
Opposite side = 7 and Hypotenuse = 25
<u>To find the adjacent side of A</u>
Adjacent side² = Hypotenuse² - Adjacent side ² = 25² - 7² = 625 - 49 = 576
Adjacent side = √576 = 24
<u>To find the CosA and TanA
</u>
CosA = Adjacent side/Hypotenuse = 7/25
TanA = Opposite side/Adjacent side = 24/25