Math, asked by dhruvsolanki545, 4 months ago

prove sec4 A(1-sin4 A)-2tan2 A=1

Answers

Answered by dsah9628

6

Step-by-step explanation:

LHS= sec4A(1-sin4A) - 2tan2A

= sec4A.(1-sin2A)(1+sin2A)-2tan2A

=sec4A. cos2A(1+sin2A)-2tan2A

=sec2A(1+sin2A)-2tan2A

=sec2A+sin2A.sec2A-2tan2A

=1+tan2A+tan2A-2tan2A

=1+2tan2A-2tan2A

=1

=RHS

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