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#208df1e2-99e4-4c41-ad3c-e727dfb80730基础填空题两角和与差的公式三角函数与三角恒等变换

3.(2023春•泗阳县校级月考)已知sinαsinβ=13\sin \alpha -\sin \beta =\frac{1}{3}cosαcosβ=223\cos \alpha -\cos \beta =-\frac{2\sqrt{2}}{3}α\alphaβ(0,π2)\beta \in (0,\frac{\pi }{2}),则αβ=(\alpha -\beta =(  ))