class 11 prove that (cos²A-1)(cot²A+1)=-1
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Answer:
(cos^2-1)(cot^2+1)
=(Cos^2-1)(cos^2/sin^2 +1)
=(cos^2-1)(cos^2+sin^2/sin^2)
=(cos^2-1)(1/sin^2)
=-(1-cos^2)(1/sin^2)
=(-sin^2)/(sin^2)
=-1
hence proved
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