Math, asked by tshantha86, 9 months ago

please solve this sum by step by step​ and i will mark as brainlist​

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Answers

Answered by TħeRøмαи
4

Step-by-step explanation:

Cot²A/(1-cosecA)²

= Cot²A / (1 - 1/SinA)²

= Sin²ACot²A / (SinA - 1)²

= Sin²A * (Cos²A/Sin²A)  /  (1 - SinA)²

= Cos²A / (1 - SinA)²

= 1 - SIn²A / (1 - SinA)²         (∵ Cos²A + Sin²A = 1)

= (1 - SinA)(1 + SinA) / (1 - SinA)²

= 1 + SinA / 1 - SinA

= R.H.S.

Hence Proved

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