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Question

Prove that

1+sin θ1sin θ+1sin θ1+sin θ=2 sec θ [2 MARKS]

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Solution

Concept: 1 Mark
Applicaiton: 2 Mark

We have

=1+sin θ1sin θ+1sin θ1+sin θ

=1+sin θ+1sin θ(1sin θ)(1+sin θ)

=2(1sin2 θ)

=2cos2 θ

=2cos θ

=2 sec θ

LHS = RHS

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