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Question

(sec A + tan A) (1 − sin A) = ?
(a) sin A
(b) cos A
(c) sec A
(d) cosec A

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Solution

(b) cos A

(secA+tanA)(1sinA) =(1cosA+sinAcosA)(1sinA) =(1+sinAcosA)(1sinA) =(1sin2AcosA) =(cos2AcosA) =cosA

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Standard Values of Trigonometric Ratios
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