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Question

If A is in the III quadrant, 3 tan A –4 = 0 then 5 sin 2A + 3 sin A + 4 cos A=

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Solution



Given tan A=43, A is in the III quadrant
5 sin 2A + 3 sin A + 4 cos A = 5(2 sin A cos A) + 3 sin A + 4 cos A
=10(45)(35)+3(45)+4(35)=245125125=0

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