cos4α-sin4αcos^4 α-sin^4 α怎么化简?

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cos4α-sin4αcos^4α-sin^4α怎么化简?cos4α-sin4αcos^4α-sin^4α怎么化简?cos4α-sin4αcos^4α-sin^4α怎么化简?=(cos^2α+sin^

cos4α-sin4αcos^4 α-sin^4 α怎么化简?
cos4α-sin4α
cos^4 α-sin^4 α怎么化简?

cos4α-sin4αcos^4 α-sin^4 α怎么化简?
=(cos^2 α+sin^2 α)*(cos^2 α-sin^2 α)
=1*cos2α
=cos2α

cos^4 α-sin^4 α=(cos^2 α-sin^2 α)(cos^2 α+sin^2 α)=cos^2 α-sin^2 α
=cos(4α)