(secA+tanA)(1-sinA)
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Solution:
(secA+tanA)(1-sinA)
= [1/cosA + sinA/cosA](1-sinA)
= [(1+sinA)(1-sinA)]/cosA
= (1-sin²A)/cosA
= cos²A/cosA
= cosA
Therefore,
(secA+tanA)(1-sinA) = cosA
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