Question

PROVE that cot A - tan A = 2 cos^2 A - 1 /(sin A cosA)

Answer 1

Hey mate !
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Given,

L.H.S = cot A - tan A

= cos A / sin A - sin A / cos A

= cos^2 A - sin ^2 A / sin A cos A....(1)

We know, sin^2 A + cos^2 A = 1

•°• sin^2 A = 1 - cos^2 A....(2)

Putting (2) in (1) we get,

= cos^2 A - ( 1 - cos^2 A ) / sin A cos A

= cos^2 A - 1 + cos^2 A / sin A cos A

= 2cos^2 A - 1 / sin A cos A

= R.H.S

Hope it helps !

Answer 2

Answer:

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