Question #18fa5

1 Answer
Oct 4, 2017

It is proved.

Explanation:

We have to prove secx(1-sinx)(secx+tanx)= 1.
Left Hand Side(L.H.S.)
Secx(1-sinx)(secx+tanx)
=(Secx-sinxsecx)(secx+tanx)
=(Secx-sinx/cosx)(secx+tanx)
=(Secx-tanx)(secx+tanx)
=#Sec^2x-tan^2x#
=1=L.H.S.