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Question

Prove that secAtanA=cosA1+sinA

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Solution

L.H.S

secAtanA

=1cosAsinAcosA

=1sinAcosA

=1sinAcosA×1+sinA1+sinA

=1sin2AcosA(1+sinA)

=cos2AcosA(1+sinA)[1sin2A=cos2A]

=cosA(1+sinA)

Hence, proved.


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