1.prove that cosecA (1-cosA) ( cosecA +cotA) =1
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cosecA (1-cosA) ( cosecA +cotA) =1
lhs=cosecA (1-cosA) ( cosecA +cotA)
=(cosecA-cosecAcosA) ( cosecA +cotA)
=(cosecA-cosA/sinA) ( cosecA +cotA)
=(cosecA-cotA) ( cosecA +cotA)
=(cosec^2A-cot^2A)
=1. (1+cot^2A=cosec^2A).
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