Question

Cosec A / Csec A - 1 + Cosec A / Cosec a + 1 = 2 Sec²A = 2 + 2Tan²A.

Answer 1

LHS = (CosecA ) / ( Cosec A - 1 ) + Cosec A / Cosec A + 1.


=> Cosec²A + Cosec A + Cosec²A - CosecA / (Cosec A - 1 ) ( CosecA + 1 )


=> 2 Cosec²A / ( Cosec² A - 1 ).




=> 2 Cosec²A / Cot²A


=> ( 2/ Sin² A ) / ( Cos²A / Sin²A )


=> 2/ Cos²A


=> 2 Sec²A



=> 2 ( 1 + Tan²A ) = 2 + 2 Tan²A = RHS.

Answer 2

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