cos4A-sin4A+1=2cos2A
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Step-by-step explanation:
(cos^4A-sin^4A)+1=2cos^2A
(cos^2A-sin^2A)(cos^2A+sin^2A)+1=2cos^2A
Hence,cos^2+sin^2=1
(cos^2A-sin^2A)(1)+1=2cos^2A
cos^2A-sin^2A+1=2cos^2A
cos^2A+(-sin^2A+1)=2cos^2A
cos^2A+(1-sin^2A)=2cos^2A
2cos^2A=2cos^2A
Proved
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