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Answer 1

Answer:

L.H.S=

$\frac{ \sinθ - { 2sin }^{3} θ}{2 { \cos}^{3}θ - \cosθ } \\ = \frac{ \sinθ (1 - 2 { \sin }^{2} θ) }{ \cosθ(2 { \cos }^{2} θ - 1) } \\ = \frac{ \sinθ  (1 - 2(1 - 2 { \cos }^{2} θ))}{ \cosθ(2 { \cos}^{2}θ - 1) } \\ = \frac{ \sinθ(2 { \cos }^{2}θ - 1) }{ \cosθ(2 { \cos }^{2} θ - 1) } \ \\ = \frac{ \sin θ}{ \cos θ} \\ = \tan θ$

= R.H.S