Question

Prove that (1+ Sin ) (1 – Sin )Sec2= 1​

Answer 1

Step-by-step explanation:

Using identity =(a+b)(a-b)= a^2 -b^2

(1 +sin)( 1- sin) = (1^2 -sin^2) = cos^2-------(1)

substituting eq (1) in (1+ Sin ) (1 – Sin )Sec^2

we get

cos^2*sec^2 = 1    (sec=1/cos)

hence proved