已知
为第二象限角,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4bb68bc1395f4cbcb5889aa39e1b7c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a361e46c92099a4514aff2b7b056656a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4bb68bc1395f4cbcb5889aa39e1b7c.png)
23-24高三上·北京·期中 查看更多[2]
更新时间:2023-11-19 20:48:16
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【知识点】 用和、差角的正切公式化简、求值解读
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【推荐2】我国古代数学家僧一行应用“九服晷影算法”在《大衍历》中建立了晷影长l与太阳天顶距
的对应数表,这是世界数学史上较早的一张正切函数表,根据三角学知识可知,晷影长度l等于表高h与太阳天顶距
正切值的乘积,即
.若对同一“表高”两次测量,“晷影长”分别是“表高”的
倍和
倍(所成角记
、
),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18341c3c71c8bcb5511fffbe3400287e.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bc6b6977ef4e549490082e7660925e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a9b199b2bec1da892e135c181bc1c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f64fa38725c136504f723019a18dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93fa313adc4ac7608ba9449fd755212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18341c3c71c8bcb5511fffbe3400287e.png)
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