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duvefihev
@duvefihev
July 2022
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Найдите значение выражения : sin a +cos a , если sin a *cos a =0,48. ( знак * - это умножить)
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oganesbagoyan
Verified answer
Sin²α +cos²α=1
(sin²α +2sinα*cosα+cos²α) -2sinα*cosα =1 ;
(sinα+cosα)² =1+2sinα*cosα ;
sinα+cosα = ±√(1+2sinα*cosα) ;
sinα+cosα
= ±√(1+2*0,48) =±√1,96
=±1,4.
2 votes
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Answers & Comments
Verified answer
Sin²α +cos²α=1(sin²α +2sinα*cosα+cos²α) -2sinα*cosα =1 ;
(sinα+cosα)² =1+2sinα*cosα ;
sinα+cosα = ±√(1+2sinα*cosα) ;
sinα+cosα = ±√(1+2*0,48) =±√1,96 =±1,4.