Question

5 cos theta + 12 tan theta = 13 , tan theta = ?​

Answer 1

Step-by-step explanation:

5 Cos@ +12 Sin@ = 13

on squaring both sides

25 Cos^2@ +144 Sin^2@ +120Cos@ Sin@ = 169

or 25(1-Sin^2@ )+144(1- Sin^2@)+120Cos@ Sin@ = 169

or 25-25 Sin^2@ +144- 144 Sin^2@+120Cos@ Sin@ = 169

or 169-25 Sin^2@ - 144 Sin^2@+120Cos@ Sin@ = 169

or 25 Sin^2@ + 144 Sin^2@-120Cos@ Sin@=0

or (5 Sin@ -12Cos@)^2=0

or 5 Sin@ -12 Cos@=0

or 5 Sin@ =12 Cos@

or tan@ =12/5=2.4

ans=2.4