已知sin(3π-α)=根号2*sin(π-β),根号3*cos(-α)=-根号2*cos(π+β),且α、β∈(0,π/2),求α,β的值
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![已知sin(3π-α)=根号2*sin(π-β),根号3*cos(-α)=-根号2*cos(π+β),且α、β∈(0,π/2),求α,β的值](/uploads/image/z/3582252-36-2.jpg?t=%E5%B7%B2%E7%9F%A5sin%283%CF%80-%CE%B1%29%3D%E6%A0%B9%E5%8F%B72%2Asin%28%CF%80-%CE%B2%29%2C%E6%A0%B9%E5%8F%B73%2Acos%28-%CE%B1%29%3D-%E6%A0%B9%E5%8F%B72%2Acos%28%CF%80%2B%CE%B2%29%2C%E4%B8%94%CE%B1%E3%80%81%CE%B2%E2%88%88%280%2C%CF%80%2F2%29%2C%E6%B1%82%CE%B1%2C%CE%B2%E7%9A%84%E5%80%BC)
已知sin(3π-α)=根号2*sin(π-β),根号3*cos(-α)=-根号2*cos(π+β),且α、β∈(0,π/2),求α,β的值
已知sin(3π-α)=根号2*sin(π-β),根号3*cos(-α)=-根号2*cos(π+β),且α、β∈(0,π/2),求α,β的值
已知sin(3π-α)=根号2*sin(π-β),根号3*cos(-α)=-根号2*cos(π+β),且α、β∈(0,π/2),求α,β的值
解出来sin(α)根号二分之一,cos(β)=二分之根号三
阿拉法是45°,β是30°