If 2tanx = 1, find (cosx + 2sinx) / (cosx - sinx) - Maths - Introduction to Trigonometry

Question

If 2tanx = 1, find (cosx + 2sinx) / (cosx - sinx)

Aalok Rishi · Accepted Answer

given that
2tanx =1
=> 2( sinx /cosx) = 1
=> 2sinx =cosx -----------(1)

now,
( cosx + 2sinx ) / (cosx - sinx)
using (1), we get
=> (2sinx + 2sinx)/( 2sinx -sinx)
=> 4sinx / sinx
=4