(sec A+ tan A) (1-sin A) equals to
a)cos A
b)sin A
c)tan A
d)none of these
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Answer:
(sec A + tanA) (1 - sin A)
= (1/cos A + sin A/cos A)(1 - sin A)
= (1+sin A/cos A)(1 - sin A)
= (1 - sin²A/cos A)
= cos²A/cos A = cos A
Hence answer is a)cos A
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