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KatrinFirs
@KatrinFirs
June 2022
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1 - 8 * sin^2 * π/24 * cos^2 * π/24
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invokr
1 - 2·(4sin²(π/24)·cos²(π/24)) = 1 - 2(2sin(π/24)·cos(π/24))² = 1 - 2sin²(2·π/24) =
= 1 - 2sin²(π/12) = cos²(π/6) = (√3/2)² = 3/4
применили формулу синуса двойного угла и косинуса двойного угла
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Thanks 1
KatrinFirs
надо с формулами и сокращениями
KuOV
Verified answer
1 - 8 * sin^2 * π/24 * cos^2 * π/24=0.86
но это не точно
2 votes
Thanks 1
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Answers & Comments
= 1 - 2sin²(π/12) = cos²(π/6) = (√3/2)² = 3/4
применили формулу синуса двойного угла и косинуса двойного угла
Verified answer
1 - 8 * sin^2 * π/24 * cos^2 * π/24=0.86но это не точно