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Question

If 5 tanθ=4, then value of 5sinθ3cosθ5sinθ+2cosθ is

A
13
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B
16
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C
45
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D
23
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Solution

The correct option is B 16
Given5tanθ=4orsinθcosθ=45sinθ=45cosθThegiventrigonometricexpressionis5sinθ3cosθ5sinθ+2cosθ(Substitutingsinθ=45cosθ)=5×45cosθ3cosθ5×45cosθ+2cosθ=434+2=16

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