Sin^4x+cos^4x=1-sin^2x*cos^2x
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Step-by-step explanation:
sin⁴x+cos⁴x
=sin⁴x+cos⁴x+2sin²x cos²x-2sin²x cos²x
=(sin²x+cos²x)²-2sin²xcos²x
=1-2sin²xcos²x
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