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sin5x-2sin3x+sinx/cos5x-cosx=tanx

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sin5x-2sin3x+sinx/cos5x-cosx=tanx

Posted by Khushi Garg 7 years, 2 months ago

CBSE > Class 11 > Mathematics

1 answers

Shweta Gulati 7 years, 1 month ago

sin5x + sinx = 2sin3x cos2x
cos5x - cosx = -2sin3x sin2x ..... use factorisation formulae of trigonometry.
So the fraction is 2sin3x(cos2x-1)/ - 2sin3xsin2x
= (1- cos2x)/sin2x
= 2(sin²x)/ 2sinxcosx
=sinx/cosx
=tanx.

0Thank You

ANSWER

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CBSE > Class 11 > Mathematics