sin4-cos4=sin²-cos²
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Step-by-step explanation:
sin(A)^4 - cos(A)^4
= ( sin²(A) - cos²(A) )( sin²(A) + cos²(A) ) Since sin²(A) - cos²(A) = 1:
= ( sin²(A) - cos²(A) )(1)
= sin²(A) - cos²(A)
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