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Question

If 5tanθ=4 , then the value of 5sinθ3cosθ5sinθ+2cosθ will be equal to:

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 D 16
5tanθ=4
tanθ=45
5sinθ3cosθ5sinθ+2cosθ=5(tanθ)35(tanθ)+2=5(45)35(45)+2
=434+2=16

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