Question

if tan a =3 then evaluate (4 sin a - cos a)/(4 sin a + cos a)

Answer 1

Answer:

11/13

Step-by-step explanation:

tan a = 3/1

by using Pythagoras theoram ,

3^2+1^2=x^2

root of (9+1)=x

x = root 10.

sina = 3/(root10) , cos a = 1/(root10)

according to problem,

(4 (3/root 10)-1/root 10)/(4 (3/root10)+1/root10)

((12-1)/root 10)/((12+1)/root10)

(11/root 10)/(13/root 10)

11/13 .