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Question

Given A is an acute angle and 13sinA=5, evaluate:5sinA2cosAtanA

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Solution

(5sinA-2cosA)/tanA
=(5×5/13 - 2×12/13)5/12
=(25/13 - 24/13)5/12
=(1/13)/(5/12)
=(1×12)/(13×5)
=12/65


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