是否存在角α,β,α∈(-π/2,π/2),β∈(0,π),使等式sin(5π-α)=√2cos(π/2-β),√3cos(2π-α)=-√2cos(3π+β),同时成立?若存在请求出α,β
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![是否存在角α,β,α∈(-π/2,π/2),β∈(0,π),使等式sin(5π-α)=√2cos(π/2-β),√3cos(2π-α)=-√2cos(3π+β),同时成立?若存在请求出α,β](/uploads/image/z/8664714-18-4.jpg?t=%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E8%A7%92%CE%B1%2C%CE%B2%2C%CE%B1%E2%88%88%EF%BC%88-%CF%80%2F2%2C%CF%80%2F2%29%2C%CE%B2%E2%88%88%280%2C%CF%80%29%2C%E4%BD%BF%E7%AD%89%E5%BC%8Fsin%EF%BC%885%CF%80-%CE%B1%EF%BC%89%3D%E2%88%9A2cos%EF%BC%88%CF%80%2F2-%CE%B2%29%2C%E2%88%9A3cos%282%CF%80-%CE%B1%29%3D-%E2%88%9A2cos%EF%BC%883%CF%80%2B%CE%B2%29%2C%E5%90%8C%E6%97%B6%E6%88%90%E7%AB%8B%3F%E8%8B%A5%E5%AD%98%E5%9C%A8%E8%AF%B7%E6%B1%82%E5%87%BA%CE%B1%2C%CE%B2)
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