Question

If 3 tan A=4, then find sin A and cos A​

Answer 1

Answer:

may you will understand this

Answer 2

Question

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

$\rule{350}{1}$

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

$\rule{350}{1}$

sin A = Opposite / Hypotenuse

⇒ sin A = 3/5

cos A = Adjacent / Hypotenuse

⇒ cos A = 4/5