Question

answer the following questions in proper writing on paper

Answer 1

Hi...☺️

Here is your answer...✌️
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LHS =

$\frac{ \sin(A) - 2 \sin^{3} (A) }{ 2\cos^{3} (A) - \cos(A) } \\ \\ = \frac{ \sin(A)(1 - 2 \sin {}^{2} (A)) }{ \cos(A) (2 \cos {}^{2} (A) - 1) } \\ \\ = \tan(A) \times \frac{ \cos(2A) }{ \cos(2A) } \\ \\ = \tan(A)$

= RHS
Hence proved
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Thank you⭐