Предмет: Алгебра, автор: sashaprokhorova

Помогите, срочно, алгебра 10 класс, преобразования выражений

Аsinx+Bcosx к виду Сsin(x+t)
Докажите тождество:
sinx+cosx+ sqrt{2} = 2 sqrt{2} cos^{2} (x/2 - pi /8)

Ответы

Автор ответа: Аноним
0
2√2(1+cos(x-π/4))/2=√2(1+cos(x-π/4)=√2+1+cosxcosπ/4+sinxsinπ/4)=
=√2(1+√2/2cosx+√2/2sinx)=√2+√2*√2/2cosx+√2*√2/2sinx=√2+cosx+sinx
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