Cot^2A/(1-cosecA)^2=1+sinA/1-sinA
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Answer:
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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