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如图，平面\(\alpha \)过正方体\(ABCD-{A}_{1}{B}_{1}{C}_{1}{D}_{1}\)的顶点\({A}_{1}\) ，\( \alpha \)||\({平面C}_{1}BD\)，\(\alpha \cap 平面ABCD=m\)，\(\alpha \cap 平面AB{B}_{1}{A}_{1}=n\)，则\(m,n\)所成角的正弦值为___.
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参考答案：\(\frac {\sqrt {3}} {2}\)
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