prove the identity cos x/sec x-tan x=1plus sin x
cosx/(secx-tanx)
= cosx / (1/cosx - sinx/cosx)
= cosx / (1-sinx)/cosx
= cos^2x / (1-sinx)
= (1-sin^2x)/(1-sinx)
= (1+sinx)(1-sinx)/(1-sinx)
= 1+sinx
why the word "plus"? You have a missing + key?