Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Prove that :
(i) sec 4 A (1 – sin 4 A) – 2 tan 2 A = 1
(ii) 
= sec 2 θ 
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i)L.H.S. = sec4 A (1 + sin2 A) (1 – sin2 A) – 2 tan2 A
= sec 2 A + sec2 A sin2 A – 2 tan2 A
= 1 + tan2 A + tan2 A – 2 tan2 A
= 1 = R.H.S.
(ii) LHS = 
= 
= 
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