01.04.2022

Найдите синус Альфа, если синус (п/4-альфа)=1/2 и п/4 < альфа < 3п/4

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Математика

Вопрос школьника по предмету Математика

Найдите синус Альфа, если синус (п/4-альфа)=1/2 и п/4 < альфа < 3п/4

Ответ учителя по предмету Математика

sin(П/4+(-а))=1/2

на промежутке П/4<-а<3П/4

-a=7П/12

sin(-7П/12)=-sin(7П/12)=-аrcsin(7П/12)=-0,2588

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