Question

If 3 tan A = 5 , then (3 SinA- 5 Cos A) / ( 3 Sin A + 5 Cos A)​

Answer 1

Answer:

Given,

3 tan A= 5

tan A = 5/3

.°. tan A = Perpendicular/ Base =5/3

By Phythagoras theorem---

H^2= P^2 + B^2

= (5)2 + (3)2

= 25 + 9

= 34

H= √34

According to the questions,

sinA = 5/ √34

cos A= 3/√34

=( 3x 5/34 -5 x 3/√34) / (3x 5/√34 + 5x 3/√34)

=( 15/√34 - 15/√34) / (15/√34 +15/√34)

= 0 / 30/√34

=0