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prove that
(Cosec A-cot A)^2 = 1-cosA/1+cosA
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1 thought on “.<br />prove that <br />(Cosec A-cot A)^2 = 1-cosA/1+cosA<br />​”

1. Step-by-step explanation:

   Lhs= (cosec A -cot A)²

   =(1/sin A – cosA/ Sin A)²

   =(1-cos A /sin A)²

   =(1-cos A)²/(sin²A)

   since sin²A = 1- cos²A

   =(1-cos A)(1-cosA)/(1²-cos²A)

   we know that

   a²-b² = (a+b)(a-b)

   =(1-cos A)(1-cos A)/(1-cos A)(1+cos A)

   =1-cos A / 1+ cos A

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