高一年级数学诱导公式(第一课时)主讲人姚璐首都师范大学附属中学坐标系xOy坐标系xyxOyPr坐标系xyxOyPrsinyr坐标系xyxOyPrsinyrcosxr坐标系xyxOyPrsinyrcosxrtanyx坐标系xyxOyPrsinyrcosxrtanyx坐标系单位圆xOyxyxOyPPrsinyrcosxrtanyx坐标系单位圆xOyxycossinxOyPPrsinyrcosxrtanyx坐标系单位圆xOyxycossinxOyPPrsinyrcosxrtanyx22sincos1坐标系单位圆xOyxycossinxOyPPrsinyrcosxrtanyxsintancos22sincos1坐标系单位圆情境与问题:如果已知,你能用表示出,,,吗?sin26=mmsin386sin(26)sin154sin2061542063862626Oyx1542063862626xOy1P2P4P3P1542063862626xOy1P2P4P3P1542063862626xOy1P2P4P3Psin386sin26m1542063862626xOy1P2P4P3Psin386sin26msin(26)sin26m1542063862626xOy1P2P4P3Psin386sin26msin(26)sin26msin154sin26m1542063862626xOy1P2P4P3Psin386sin26msin(26)sin26msin154sin26msin206sin26m类比等式:你能得到哪些新的结论?sin386sin2638626xOy1P终边相同的角的三角函数的关系xOy终边相同的角的三角函数的关系xOyxOy终边相同的角的三角函数的关系xOyxOy其中2πkkZ终边相同的角的三角函数的关系其中xOy1P2πkkZxOy1P终边相同的角的三角函数的关系其中sin(2π)sinkcos(2π)cosktan(2π)tankkZxOy1P其中2πkkZ例求下列各值(1)(2)(3)解:13sinπ219cosπ3tan405例求下列各值(1)(2)(3)解:(1)13sinπ219cosπ3tan40513sinπ2例求下列各值(1)(2)(3)解:(1)13sinπ219cosπ3tan40513sinπ2πsin(6π)2例求下列各值(1)(2)(3)解:(1)13sinπ219cosπ3tan40513sinπ2πsin(6π)2πsin2例求下列各值(1)(2)(3)解:(1)13sinπ219cosπ3tan40513sinπ2πsin(6π)2πsin21例求下列各值(1)(2)(3)解:(1)13sinπ219cosπ3tan40519cosπ313sinπ2(2)πsin(6π)2πsin21例...