Question

Prove that sina-2 sin^3a/2 cos^3a-cosa=tana

Answer 1

Refer the attachment.

Answer 2

Hey mate..!!

Good morning..

Here's your answer..

===================================

$\sin(a) - 2 { \sin}^{3} (a) \div { \cos}^{3} (a) - \cos(a) \\ sin \: a(1 - {sin}^{2} a) \div \cos \: a( {cos}^{2} a - 1) \\ sin \: a( 1 - (1 - {cos}^{2} a)) \div cos \: a( {cos}^{2} a - 1) \\ sin \: a( - 1 + {cos}^{2} a) \div cos \: a( {cos}^{2} a - 1) \\ sin \: a \div cos \: a = tan \: a$
==================================

HOPE IT HELPS

@Rêyaañ11