Question

If tan theta equals 12/5 find the value of 3 sin theta+2 cos theta/3 sin theta - 2 cos theta. Please answer asap

Answer 1

Tan theta = 12 /5
=P/B
perpendicular=12
base=5
hypontonuese=13 (by pythagoras thrm)
sin theta=P/H=12/13
cos theta = B/H= 5/13

3sin theta+2cos theta /3sin theta-2cos theta
=3*12/13+2*5/13÷3*12/13-2*5/13
=36/13+10/36-10/13
=26/13+10/36
=1066/468
=533/234