Question

expansion of log(tanx /x)​

Answer 1

explanation given in picture

Answer 2

Answer:

Let y = log tan x

dy/dx = (1/tan x) sec2x

= cos x/sin x cos2 x

= 1/sin x cos x

= 1/sin x cos x

Multiply and divide by 2

= 2/2 sin x cos x

= 2/sin 2x

= 2 cosec 2x

Is the expansion of log (tan x)