Question

if 3 tan a=4,then find sin a and cos a​

Answer 1

Answer:

Step-by-step explanation:

3tanA=4

tanA=4/3

tan2A-1=sec2A

sinA=2 /3, cosA=4 /3

Answer 2

Question

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

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3 tan A = 4

⇒ (3 tan A)/3 = 4/3

⇒ 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