Question

Proe that cosec a/coseca-1 + coseca/coseca + 1= 2 + 2 tan^2a = 2sec^2a

Answer 1

Cosec A / Cosec A - 1 + Cosec A / Cosec A + 1 = 2 Sec^2 A

Cosec A (Cosec A + 1) + Cosec A ( Cosec A - 1) / (Cosec^2 A - 1 )

Cosec^2 A + Cosec A + Cosec^2 A + Cosec A / Cot^2 A

Cosec^2 A + Cosec^2 A / Cot^2 A

2 Cosec^2 A / Cot^2 A

2 Cosec^2 A * Sin^2 A / Cos^2 A

2 / Cos^2 A

2 Sec^2 A

Hence Proved .....

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Aditya Suryawanshi