Question

Q1. Given 5 cos A - 12 sin A= 0, find the value of (sin A + cos A) / (2 cos A - sin A)\Please answer fast and show the working.Thanks in advance

Answer 1

5cosA-12sinA=0
5cosA=12sinA
5/12=sinA/cosA
tanA =5/12= perpendicular /base
sinA =5/13,cosA =12/13
given that=(5/13+12/13)/(2×12/13-5/13)
=(17/13)/(19/13)
=17/19
answer is 17/19