cosec4 A- cosec2 A = cot4 A + cot2 A
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Cosec4A - cosec2A = cot4 A + cot2 A
LHS = (1 + cot2 A)2 - (1 + cot2 A)
= 1 + 2cot2 A + cot4 A - 1 - cot2 A
= cot2 A + cot4 A
= RHS
Hence, Cosec4A - cosec2A = cot4 A + cot2 A
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