Question

sin A - 2 sin3 A
2 cos2 A - cos A​

Answer 1

Step-by-step explanation:

LHS

=sin a -2sin ^3 a/ 2cos^3 a + cos a

=sin a (1-2sin^2a)/ cos a ( 2cos2a+1)

=sin a/cos a × 1-2sin2a/2cos2a+1

=tan a × 2(1-sin2a)/2(1-sin2 a)+1

=tana ×1/1

=tan a=RHS

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