Question

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Prove that 1+(cot^2 a/(1+ cosec a))
= cosec a​

Answer 1

Answer:

Step-by-step explanation:

=1+(cot^2 a/(1+ cosec a)

As cosec²a - cot²a = 1

.: =1 - 1 +cosec^2a +cosecA/(1+cosecA)

=CosecA+cosec^2A/(1+cosecA)

=CosecA(1+cosecA)/(1+cosecA)

=CosecA

Hence,proved