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°