已知Sinα=15/17,α∈(π/2,π),求cos(Π/3+α),cos(π/3-α)
问题描述:
已知Sinα=15/17,α∈(π/2,π),求cos(Π/3+α),cos(π/3-α)
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.