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Answer:
b)2cos^2A
Step-by-step explanation:
cos^4A-sin^4A+1
=(cos^2A+sin^2A)(cos^2A-sin^2A)+1
=1(cos^2A-sin^2A)+1
[using identity: sin^2A+cos^2A=1]
=(cos^2A-sin^2A)+(cos^2A+sin^2A)
=cos^2A-sin^2A+cos^2A+sin^2A
=2cos^2A
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