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化简:1,cosπ/8的4次方- sinπ/8的4次方 2,sinπ/12-√3cosπ/12
人气:338 ℃ 时间:2020-05-08 20:46:45
解答
cosπ/8的4次方- sinπ/8的4次方
=(cos²π/8+sin²π/8)(cos²π/8-sin²π/8)
=cos²π/8-sin²π/8=cosπ/4
=√2/2
sinπ/12-√3cosπ/12
=2(1/2sinπ/12-√3/2cosπ/12)
=2(cosπ/3sinπ/12-sinπ/3cosπ/12)
=2sin(π/12-π/3)
=-2sin(π/4)
=-√2
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