Question

If 5 tane = 4, then value of
5 sino – 3 cose /5 sino + 2 coso is​

Answer 1

Hey there,

5tanx = 4

Sinx / cosx = 4/5

Sinx = 4cosx/5...........(i)

Now,

5sinx-3cosx / 5sinx+2cosx

Using (i)

5(4cosx/5) - 3cosx / 5(4cosx/5) + 2cosx

4cosx - 3cosx / 4cosx + 2 cosx

Cosx / 6 cosx

= 1/6 is your answer

Hope it help