Question

sec x (1 - sin x) (sec x + tan x) = 1​

Answer 1

Answer: 1

Step-by-step explanation: By De Chatire's principal we apply the identity sec X + tan X= 1 . 1- sin X can also be written as 1/ sec X therefore it will cancel sec X and answer will be 1. Hope it helps!!!

Answer 2

Answer:

To prove

sec x (1 - sin x) (sec x + tan x) = 1​

Step-by-step explanation:

by  LHS

sec x (1 - sin x) (sec x + tan x)

(secx-secx sinx)(sec x+tanx)

(sec x-tanx)(secx +tanx)

=sec^2(x)-tan^2(x)

=1

proved