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问题 填空题
设函数f（θ）=tan2θ，其中角θ的顶点与坐标原点重合，始边与x轴非负半轴重合，其终边与单位圆交于点P(
1
2
，-
3
2
)，则f(θ)=______．
答案

依题意得：tanθ=

-
3
2
1
2
=-
3
，

∴f（θ）=tan2θ=

2tanθ
1-tan2θ
=
-2
3
1-3
=
3
．

故答案为：

3

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