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VeronikaOdintsova
@VeronikaOdintsova
July 2022
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Упростите выражение
(ctg^2а+1)*sin^2a-cos^2a
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89251005673
=cos²α+sin²α+2sinαcosα+cos²α-sin²α==2c0s²α+2sinαc0sα =2cosα(cosα+sinα)==2cosα(sin(π/2-α)+sinα)=2cosα·2sin(π/2-α+α)/2·cos(π/2-α-α)/2=
=4cosα·sinπ/4·cos(π/4-α)=4cosα·√2/2·cos(π/4-α)=2√2cosα·cos(π/4-α)
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VeronikaOdintsova
Спасибо большое
89251005673
не за что!
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