If 3 tan A=4, then find sin A and cos A.
Answers
Answered by
1
Step-by-step explanation:
please follow me
love me love you
Answered by
0
Question
If 3 tan A = 4, Then Find sin A and cos A
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
sin A = Opposite / Hypotenuse
⇒ sin A = 3/5
cos A = Adjacent / Hypotenuse
⇒ cos A = 4/5
Similar questions