Prove that cot4A – 1 = cosec4A – 2cosec2A
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LHS = cot4A − 1=(cot2A)2 − (1)2=(cot2A − 1) (cot2A + 1)=(cot2A − 1) cosec2A=cosec2A(cot2A − 1)=cosec2A [cosec2A − 1 − 1]=cosec2A[cosec2A − 2]=cosec4A − 2 cosec2A=RHS
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Step-by-step explanation:
Cot4A - 1 = Cosec4A - 2Cosec2A
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