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已知Sinα=15/17,α∈(π/2,π),求cos(Π/3+α),cos(π/3-α)
人气:287 ℃ 时间:2020-03-25 10:03:34
解答
郭敦顒回答:
∵Sinα=15/17,α∈(π/2,π),
∴α=118.072°,
又Π/3=60°,
∴cos(Π/3+α)= cos(60°+118.072°)= cos178.072°=-0.9994.
cos(π/3-α)= cos(118.072°-60°)= cos58.072°=0.5288.
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