Cos4 A = 8 cos⁴A - 8 Cos²A+I
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Answer:
LHS= Cos4A=Cos2(2A)
2Cos^2A-1
2(2Cos^2A-1)^2-1
2(4Cos^4A+1-4Cos^2A)-1
8cos^4A+2-8Cos^2A-1
8Cos^4A-8Cos^2A-1=RHS
Hence proved
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