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Sin-2sin^3/2cos^3-cos=tan Prove it

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Sin-2sin^3/2cos^3-cos=tan Prove it

Posted by Niharika Raj 5 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 3 months ago

LHS =

= RHS

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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CBSE > Class 10 > Mathematics