Question

If tanx=4/5, then find the value of 5sinx-3cosx/sinx+2cosx

Answer 1

tan x = 4/5 ,

sin x = 4/√41

cos x = 5/√41

5 sin x - 3cos x/ sin x + 2cos x

5(4/√41) - 3(5/√41)/ (4√41 + 2(5√41)

20/√41 - 15√41 / 4√41 +10/√41

5/√41 / 14√41 =5/14