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Question Number 20436 by pp75718276@gmail.com last updated on 26/Aug/17

If  A lies in the third quadrant and  3 tan A − 4 = 0, then   5 sin 2A + 3 sin A + 4cos A =

$$\mathrm{If}\:\:{A}\:\mathrm{lies}\:\mathrm{in}\:\mathrm{the}\:\mathrm{third}\:\mathrm{quadrant}\:\mathrm{and} \\ $$$$\mathrm{3}\:\mathrm{tan}\:{A}\:−\:\mathrm{4}\:=\:\mathrm{0},\:\mathrm{then}\: \\ $$$$\mathrm{5}\:\mathrm{sin}\:\mathrm{2}{A}\:+\:\mathrm{3}\:\mathrm{sin}\:{A}\:+\:\mathrm{4cos}\:{A}\:=\: \\ $$

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