cos ⁴ A -sin ⁴A +1 =2cos²A
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Answer:
LHS
cos^4A-sin^4A+1
=(cos^2A)^2-(sin^2A)^2+1
=(cos^2A+sin^2A)(cos^2A-sin^2A)+1
=cos^2A-sin^2A+sin^2A+cos^2A
=2cos^2A
=RHS
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