prove that (cosecA-cotA)^2 =1-cotA/1+cotA
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Answer:
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Step-by-step explanation:
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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