解题方法
1 . 利用特殊角的三角函数值计算:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f804115867145d0830996a4372702823.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2faa5a5696fbf0f7bc4bf4dde578d3c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b2cd313332b523b5046fedd4e926aa.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b77f94bddb78e3d8a4b4166c9bb75f9.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f87c5488d28c039d315f97f25ee9976.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d509f5a2e0c587cfbec1795fac7fbed2.png)
您最近一年使用:0次
解题方法
2 . (1)已知
,
在第四象限,求
,
的值;
(2)已知
,
在第二象限,求
,
的值;
(3)已知
,求
,
的值;
(4)已知
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26c247e674b8449ea78b62c18ff8d54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dcef576b08f00c2058497b14fc0277e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8243953e45f9db416d64b444b259b02b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
(4)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4c7b94f2f548b7b705ccc52ebc060c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48345d239aaf8e9ca1ff2846c08a99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c5a05a11f731194a845e68a0479ce4.png)
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解题方法
3 . 已知角
的终边在直线
上,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7b915277169254e670ea51b693b9fc.png)
您最近一年使用:0次
2023-10-09更新
|
533次组卷
|
4卷引用:北师大版(2019)必修第二册课本习题 习题1-4
4 . 已知
,求下列各三角函数的值:
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f9105ef2e1eab7fc2b531acb270950.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed15f6a1e65e6974c845b41c6d5f3fc.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d7130f678bb4b096f4ee9648f3c90d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4dbaa22a8bce8d8c19dacf8fcc5251.png)
您最近一年使用:0次
5 . 已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a5d4d1de276992d4891a972045000d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd199bfe6f1a2bef8dbba4c3c1270251.png)
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解题方法
6 . 已知角
的终边经过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
______ ,
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/379d616036d722a9a6ddf78c6f55a810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38dd8aad9cfb5e1fe2a45d80923f1571.png)
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7 . 确定下列各三角函数值的符号:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f68727d6e73346ef1dd076b13158960.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d3a3329591d907c90517900db1ff1cd.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91c76281d0a07559904e126056224c50.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d5c81106fc05e0a563af6a962c89c3.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3e3b8e37d8aff2683a7e45871fa4a3.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f100462befbdb4dac54df56707a55d44.png)
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解题方法
8 . 设角α的终边经过下列各点,求角α的正弦函数值、余弦函数值:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b2071f4db623ff7228b0a7257efc92.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663e2a3c6f6988e81c4ffcf1bddd1c4c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f3e68e9b60f3dae7f829141b782988.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0c3f630ba971eee64e306605093edd.png)
您最近一年使用:0次
解题方法
9 . 已知
,
,
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d59142ab797807e560fe8adf63e6ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7bc1364b83c5327c14731295a22251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/986852b11d2d26de9e880d8f45de3f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3475f5c11079c8b6d4ce3683c33a7bfa.png)
您最近一年使用:0次
2023-10-09更新
|
240次组卷
|
3卷引用:北师大版(2019)必修第二册课本习题第四章§2两角和与差的三角函数公式
解题方法
10 . 已知
,
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d793dc190f23c3692a1a769ef58b584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d28eab3b97cbeff2ff5527a0603ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c136aaf9b5dedec254a92ce302f4a70c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e3c905ee86ab199ec8cab8de05c864.png)
您最近一年使用:0次
2023-10-09更新
|
937次组卷
|
3卷引用:北师大版(2019)必修第二册课本习题第四章§2两角和与差的三角函数公式