Question

if tanA=4/5 then find the value of cosA-sinA/cosA+sinA

Answer 1

Answer:

tan A= opp/adj

so opp =4 &adj =5 & hyp = 3

cos A = adj / hyp = 5/3

sin A = opp/ hyp = 4/3

cos A - sinA = 5/3 - 4/3 = 1/3

cosA + sinA = 5/3 + 4/3 = 9/3 = 3/1

1/3 / 3/1 = 1/9