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Question

( √1 + sin A / √ 1- sin A ) + ( √1 - sin A / √ 1 + sin A ) = 2 sec A

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Solution

Concept: 1 Mark
Applicaiton: 2 Mark

We have

=1+sinθ1sinθ+1sinθ1+sinθ

=1+sinθ+1sinθ(1sinθ)(1+sinθ)

=2(1sin2θ)

=2cos2θ

=2cosθ

=2secθ

LHS = RHS

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