How do find the derivative of y= (1- sec x)/ tan x?

1 Answer
Jul 30, 2018

(dy)/(dx)=cscx(cotx-cscx)

Explanation:

Here ,

y=(1-secx)/tanx

=>y=1/tanx-secx/tanx

=>y=cotx-(1/cosx)/(sinx/cosx)

=>y=cotx-cscx

(dy)/(dx)=-csc^2x-(-cscxcotx)

(dy)/(dx)=-csc^2x+cscxcotx

:.(dy)/(dx)=cscx(cotx-cscx)