Question

if we have tan(x)=2
then what is the result of
(sin(x)+cos(x))/(3sin(X)-2cos(x))
using step by step solving

Answer 1

tanx = 2
sinx/cosx = 2
sinx = 2cosx
Substitute this in your expression:
(2cosx + cosx)/(6cosx - 2cosx)=
3cosx/4cosx = 3/4 (if cosx <> 0)

Answer 2

excellent answer , thanks , i like your way sloving this problem

Answer 3

sinx=2cosx
(2cosx+cosx)/(6cosx-2cosx)
=3cosx/4cosx
=3/4