sinα=√2sinβ 平方 sin^2α=2sin^2β
√3cosα=√2cosβ 平亩橘方 3cos^2α=2cos^2β
相加
sin^2α+3cos^2α=2
1+2cos^2α=2
cos^2α=1/2 α∈(-π/2,π/迅散团2)
cosα=√2/2 α=±π/4
sin^2α=2sin^2β=1/2
sin^2β=1/4 β∈掘简(0,π)
sinβ=1/2 β=π/6或5π/6
α =π/4 β=π/6