CosecA √1-Sin²A= Cot A
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Step-by-step explanation:
to prove CosecA (√1-Sin²A) = Cot A
LHS = CosecA (√1-Sin²A)
= cosecA ( √cos²A ) [ ∵ cos²A = 1 - sin²A ]
= (1/sinA) (cosA)
= cosA/sinA
= cotA
= RHS
LHS = RHS
ie., CosecA (√1-Sin²A) = Cot A
Hence proved
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