Question

prove that ( 1-sin square theta)sec square theta =1

Answer 1

(1- sin^2 theta) * sec^2 theta
= cos^2theta * sec^2theta
As sin^2theta + cos^2theta = 1
Thus, cos^2theta = 1 -sin^2theta
Thus
Cos^2theta * sec^2theta
= cos^2theta * 1/cos^2theta
= 1
= RHS
Hence proved.

Answer 2

(1-sin²0)sec²0
as 1-sin²0=cos²0
cos²0×sec²0
cos²o×1/cos²0
=1
LHS=RHS