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supertsoy
@supertsoy
May 2022
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Докажите тождество: sin^4a+cos^4a-sin^6a-cos^6a=sin^2a*cos^2a
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sedinalana
Sin^4a(1-sin²a)+cos^4a(1-cos²a)=sin^4a*cos²a+cos^4a*sin²a)=
=sin²acos²a(sin²a+cos²a)=sin²acos²a
2 votes
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=sin²acos²a(sin²a+cos²a)=sin²acos²a