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Question

If 5cosθ12sinθ=0, find sinθ+cosθ2cosθsinθ

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Solution

5cosθ12sinθ=0
5cosθ=12sinθ
cotθ=125
sinθ+cosθ2cosθsinθ=sinθ(1+cotθ)sinθ(2cotθ1)
=1+1252×1251
=1752451
=1752455
=175×519
=1719

Hence, the answer is 1719.

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