Question

if Tan A = 3/4 then find Sin A and cos A​

Answer 1

Question

If tan A = 3/4, Then Find sin A and cos A

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tan A = 3/4

⇒ Opposite / Adjacent = 3/4

Comparing This We get

• Opposite = 3 & Adjacent = 4

We also need to get Hypotenuse to find sin A and cos A

(Hypotenuse)² = (Opposite)² + (Adjacent)²   .....(By Pythagoras Theorem)

⇒ (Hypotenuse)² = 3² + 4²

⇒ (Hypotenuse)² = 9 + 16

⇒ (Hypotenuse)² = 25

⇒ Hypotenuse = √25

⇒ Hypotenuse = 5

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sin A = Opposite / Hypotenuse

⇒ sin A = 3/5

cos A = Adjacent / Hypotenuse

⇒ cos A = 4/5