Question

Sin A 7 divided by 25

Answer 1

The correct answer is option A

Cos A = 24/25 and Tan A = 7/24

Explanation:

Trigonometric ratio

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

To find the adjacent side of A

Adjacent side² = Hypotenuse² - Adjacent side ² = 25² - 7² = 625 - 49 = 576

Adjacent side = √576 = 24

To find the CosA and TanA

CosA = Adjacent side/Hypotenuse = 7/25

TanA = Opposite side/Adjacent side = 24/25

Answer 2

Cos A = 24/25, Tan A = 7/25

Explanation:

Given that Sin A = 7/25

Sin = Opp/hyp

Therefore using Pythagoras theorem, adjacent will be;

= √(25²-7²)

= √576

= 24

Thus;

Cos A = adjacent/hypotenuse

= 24/25

Cos A = 24/25

Tan A = opp/hypotenuse

= 7/25

Tan A = 7/25