(1+cosA)(1-cosA)(1+cot²A)=1
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(1+cosA)(1-cosA)(1+cot^{2}A)=1
Solution:
LHS =
=(1-cosA) (1+cosA) (1+cot^2A)
=(1-cos^2A) (1+cot^2A)
=sin^2A (1+cot^2A)
=sin^2A. cosec^2A
=sin^2A. 1÷sin^2A
=1
= RHS
Hence Proved :)
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