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smail1900
@smail1900
September 2021
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Упростите выражение : sin(5п/6-а)-1/2cosa
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Санечка69
Verified answer
Воспользуемся формулой sin(α - β) = sinαcosβ - cosαsinβ
sin(5π/6 - α
) - 1/2cos
α = sin5π/6 · cosα - cos5π/6 · sinα - 1/2cosα =
= 1/2cosα +√3/2sinα - 1/2cosα =
√3/2sinα
5 votes
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Answers & Comments
Verified answer
Воспользуемся формулой sin(α - β) = sinαcosβ - cosαsinβsin(5π/6 - α) - 1/2cosα = sin5π/6 · cosα - cos5π/6 · sinα - 1/2cosα =
= 1/2cosα +√3/2sinα - 1/2cosα = √3/2sinα