题目内容
(本题满分14分)在平面直角坐标系
中,以
轴为始边作两个锐角
,
,它们的终边分别与单位圆相交于
两点,已知
的纵坐标分别为
.(1)求
的值;(2)求
的值.
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解:由条件的
=
,
因为
,
为锐角,所以
……………………4分
(1)
; ………………………7分
(2)因为
,所以
,
所以
……………………10分
∵
为锐角,∴
, ……………………12分
∴
=
……………………14分
(第二小题也可以选择正弦函数判断,若选择余弦函数判断有两解扣4分)
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因为
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(1)
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(2)因为
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所以
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∵
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∴
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(第二小题也可以选择正弦函数判断,若选择余弦函数判断有两解扣4分)
略
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