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anastaciarocha
@anastaciarocha
July 2022
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Помогите пожалуйста! Срочно!!!
найдите значение выражения √32 - √128 sin^2 7п/8
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Mihail001192
Verified answer
Применим формулу косинуса двойного аргумента:
cos2α = 1 - 2sin²α
√32 - √128•sin²(7π/8) = √32•( 1 - 2•sin²(7π/8) ) = √32•cos(7π/4) = √32•cos(2π - π/4) = √32•cos(π/4) = √32•√2/2 = √64/2 = 8/2 = 4
ОТВЕТ: 4
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Answers & Comments
Verified answer
Применим формулу косинуса двойного аргумента:
cos2α = 1 - 2sin²α
√32 - √128•sin²(7π/8) = √32•( 1 - 2•sin²(7π/8) ) = √32•cos(7π/4) = √32•cos(2π - π/4) = √32•cos(π/4) = √32•√2/2 = √64/2 = 8/2 = 4
ОТВЕТ: 4