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已知角α,β,γ构成公差为π/3的等差数列,若cosβ=-2/3,则cosα+cosγ=
人气:297 ℃ 时间:2020-06-15 20:49:00
解答
α=β-π/3,γ=β+π/3
cosα+cosγ
=cos(β-π/3)+cos(β+π/3)
=cosβcosπ/3+sinβsinπ/3+cosβcosπ/3-sinβsinπ/3
=2cosβcosπ/3
=2X(-2/3)X(1/2)
=-2/3
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