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1、名师精编优秀教案1.3.1 诱导公式（1）学习目标1.借助单位圆，推导出正弦，余弦的诱导公式.2.正确运用诱导公式将任意角的三角函数化为锐角的三角函数，并解决有关三角函数求值，化简和恒等式证明问题.学习过程一、课前准备（预习教材P23 P27，找出疑惑之处）如何求 sin750 o，cos1080o，tan780 o，sin49，cos25的值二、新课导学 探索新知问题 1：如何把任一角的三角函数的求值问题转化为0o 360o间三角函数的求值问题？问题 2：已知任意角的终边与单位圆相交于P（x，y），求 P关于 x 轴，y 轴，原点对称的三个点的坐标.问题3：如果角的终边与角的终边关于原点对称
2、，那么与的三角函数值之间有什么关系？问题 4：如果角的终边与角的终边关于x 轴对称，那么与的三角函数值之间有什么关系？问题 5：如果角的终边与角的终边关于y 轴对称，那么与的三角函数值之间有什么关系？问题 6：你能概括上述诱导公式吗？典型例题例 1：求值（1）67sin;（2）411cos;（3）tan(-1560 o)名师精编优秀教案变式训练：求值（1）)1200sin(;（2）945tan;（3）647cos例 2：已知336cos,求65cos的值.变式训练：已知336cos,求6sin65cos2的值。动手试试1、对于诱导公式中的角，下列说法正确的是（）A一定是锐角B02C一定是正角
3、D是使公式有意义的任意角2、若,2,53cos则2sin的值是（）A53 B53 C 54 D 543、已知29cossin4cossin3，则tan=4、求 cos（2640）+sin1665 的值文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4
4、L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q
5、4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4
6、Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X
7、4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4
8、X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X
9、4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4
10、X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2名师精编优秀教案三、小结反思将任意角的三角函数化为锐角的三角函数的算法流程为:任意角360)360,270180)270,180180)180,90)90,0)360,0学习评价 当堂检测（时量：5 分钟满分：10 分）计分：1、)420tan()60sin(240tan225cos的值是（）A、2322 B、2322C、6322 D、63222、已知149tan239sin,31cos则a=（）A、aa21 B、21aC、aaa2 D、21a3、)2cos()2si
11、n(21等于（）（）Asin2 cos2 Bcos2sin2 C（sin2 cos2）D sin2+cos2 4、若atan，则3cos5sin _ _5、化简：)(cos)5sin()4sin()3(sin)(cos)4cos(222_ _文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD
12、2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:C
13、D2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:
14、CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码
15、:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编
16、码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档
17、编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文
18、档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2名师精编优秀教案课后作业6、已知316sin x，求xx65cos67sin2的值.7、已知75cos31，为第三象限角，求435sin255cos的值8、化简：Znnnn,tancossin.文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 Z
19、H4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2
20、ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2
21、 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L
22、2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4
23、L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q
24、4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2文档编码:CD2R3A10T10X2 HJ4X4X4Q4L2 ZH4H8O10D8Z2