Prove: sech⁴ ß-cos⁴ ß= 1-2 cos²ß
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Step-by-step explanation:
LHS = sin4(x) - cos4(x)
= (sin2(x) - cos2(x)) × (sin2(x) + cos2(x))
= sin2(x) - cos2(x)
= 1 - cos2(x) - cos2(x)
= 1 - 2cos2(x)
= RHS
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