Find the general solution of the differential equations `(dy)/(dx)=(1-cosx)/(1+cosx)`

Explanation

Given , `(dy)/(dx)=(1-cosx)/(1+cosx)`
`implies dy=(1-cosx)/(1+cosx)dx`
`implies intdy=int(1-cosx)/(1+cosx)dx`
`implies y=int(2sin^(2)(x//2))/(2 cos^(2)(x//2))dx`
`implies y=int tan^(2)(x//2)dx`
`implies y=int[sec^(2)((x)/(2))-1]dx`
`implies y=int sec^(2)((x)/(2))dx-int 1dx`
`implies y=2tan"(x)/(2)-x+C`.