Question

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I need the solution urgently...

Prove that :-
cos A cot A / 1- sin A = 1+ cosec A

Answer 1

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Given that, cosA×cotA/1-sinA = 1+ cosecA

=)Consider L.H.S we get

=) cosA.cotA/1-sinA

=)cosA.cosA/sinA whole divided by 1-sinA

=)cos2A/sinA whole divided by 1-sinA

=) 1-sin2A/sinA×1-sinA

=) 1-sin2A×1+sinA/sinA.( 1-sinA).(1+sinA)

=)(1-sin2A)× (1+sinA)/sinA. (1-sin2A)

=) 1+sinA/sinA

=) [ 1/sinA]+1

=) 1+ cosec A =R.H.S

Hence, proved..

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Answer 2

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solution is in this given pic

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@Rajukumar111