1-(0:059हर pad C रे eProve that (Cosec8- Cot8) T7Coso – InterviewSolution

1.

1-(0:059हर pad C रे eProve that (Cosec8- Cot8) T7Coso

Answer»

LHS

( cosecA - cotA )²

= ( 1/ sinA - cosA/sinA )²

= ( 1 - cosA/ sinA )²

= ( 1 + cosA )²/ sin²A

= ( 1 - cosA )²/ 1 - cos²A

= ( 1 - cosA ) ( 1 - cosA )/ ( 1 + cosA ) ( 1 - cosA )

= 1 - cosA / 1 + cosA

.°. RHS

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