江苏省泰州市高中数学第1章三角函数1.2.3(一)诱导公式(一~四)导学案(无答案)苏教版必修4.doc

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江苏省泰州市高中数学第1章三角函数1.2.3(一)诱导公式(一~四)导学案(无答案)苏教版必修4.doc_第1页
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1、11.2.3(一) 诱导公式(一四)一、 【学习目标】1.了解三角函数的诱导公式的意义和作用.2.理解诱导公式的推导过程.3.能运用有关诱导公式解决一些三角函数的求值、化简和证明问题二、 【自学要点】1. 诱导公式一,怎样解释?公式是什么?如何运用? 2. 诱导公式二,怎样解释?公式是什么?如何运用? 3. 诱导公式三,怎样解释?公式是什么?如何运用? 4.诱导公式四,怎样解释?公式是什么?如何运用? 三、 【尝试完成】判断下列各题的正误:1诱导公式中角 是任意角( )2sin( )sin .( )3cos .( )43 124诱导公式对弧度制适用,对角度制不适用 ( )四、 【合作探究】1求

2、下列各三角函数式的值(1)cos 210;(2)sin ;(3)sin ;( 4)cos(1 920)114 ( 436 )2已知 sin( ) cos(2 ),| | ,则 .3 23化简下列各式(1) ; (2)tan(2 )sin( 2 )cos(6 )cos( )sin(5 ).1 2sin 290cos 430sin 250 cos 7902五、 【当堂巩固】1求下列各三角函数式的值(1)sin 1 320;(2)cos ;(3)tan(945)(316 )2已知 sin ( ) sin( ), cos( ) cos( ),2 3 20 ,0 ,求 , .3化简 (nZ).tan(n )sin(n )cos(n )cos (n 1) sin(n 1) 4化简下列各式(1) ; (2)cos( )sin(2 )sin( )cos( ).cos 190sin( 210)cos( 350)tan( 585)六、 【课堂小结】:七、 【教学反思】:

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