Question

If SinA +CosA/SinA-CosA=5/3, find the value of 7 tanA+2/2 tan A+7

Answer 1

Divide numerator and denominator by CosA,

We get
TanA + 1/TanA - 1=5/3
or
5TanA - 5 = 3TanA + 3
2TanA=8
TanA=4..

Then,
7TanA+2/2TanA+7 = 30/15 = 2..