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In $Δ A B C, 5 \cos A + 3 = 0$ then the Quadratic equation whose roots are Sin A and Tan A is

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$15 x^{2} - 8 x - 16 = 0$

$15 x^{2} + 8 x - 16 = 0$

$15 x^{2} - 18 x - 16 = 0$

$15 x^{2} + 32 x + 16 = 0$

answer is B.

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Detailed Solution

$\cos A = \frac{- 3}{5} \in Q_{2} \Rightarrow α = \sin A = \frac{4}{5}, β = \tan A = \frac{- 4}{3}$

Quad. Eq. is $15 x^{2} + 8 x - 16 = 0$

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