Question

Answer please!!!!!!!! ​

Answer 1

Answer:

taking L.H.S

$\frac{ \sin(x) - 2 { \sin }^{3}(x) }{2 { \cos}^{3}(x) - \cos(x ) } \\ \frac{ \sin(x)(1 - 2 { \sin}^{2}(x)) }{ \cos(x)(2 { \cos }^{2} (x) - 1)} \\ \tan(x) \frac{1 - 2(1 - { \cos }^{2}(x)) }{2 { \cos}^{2}(x) - 1 } \\ \tan(x) \frac{1 - 2 + 2 {cos}^{2}(x) }{2 {cos}^{2}(x) - 1 } \\ \tan(x) \frac{2 {cos}^{2} (x) - 1}{2 {cos}^{2} (x) - 1} \\ \tan(x)$

L.H.S = R.H S HENCE PROVE