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Question

If tanθ=43,then find the value of 3sinθ+2cosθ3sinθ2cosθ

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Solution

tanθ=43 (given)

3sinθ+2cosθ3sinθ2cosθ=3sinθ+2cosθcosθ3sinθ2cosθcosθ

=3tanθ+23tanθ2

=3(43)+23(43)2=62=3.

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