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Question

Prove :
1+cot2α1+cscα = cosecα

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Solution

1+cot2α1+cscα=1+cscα+cot2α1+cscα
=cscα+csc2α1+cscα (as 1+cot2α=csc2α)
=cscα(1+cscα)(1+cscα)
=cscα

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