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Prove : Cos A - Sin A +1 / Cos A +Sin A -1 = Cosec A + Cot A using the identity cosec2A = 1+cot2A

Cos A - Sin A + 1/ Cos A + Sin A - 1 dividing in numerator & denominator with Sin A
Cot A - 1 + Cosec A / Cot A - Cosec A + 1
now putting 1= Cosec^2 - Cot ^2

= (Cot A + Cosec A) - (Cosec2 A - Cot2 A) / (Cot A - Cosec A + 1)

= (Cot A + Cosec A) [1 - Cosec A + Cot A) / (Cot A - Cosec A + 1)]

= (Cot A + Cosec A) RHS Proved
 
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M ye question rationalising k chakkar m galat kr kr aa gya
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i think the identity is wrong 
it is cot2A = 1+ cosec2A

 
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Hope this is right answer if u r agree Plz like the my answer

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Your answer is below. Hope It Will Help You..

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Hope it helps

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Please find this answer

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Hope it is helpful for u all. :)

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Here you go!!!!!!

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Answer of this question is following

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Hope it helps u🙏

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Y v want to divide numerator and denomerator by sin A
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LHS = 

= cosec A + cot A = RHS..
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