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3.2 简单的三角恒等变换

3.2 简单的三角恒等变换. 例 1. 试以 表示 。. 例 2. 求证:. 例 3. 已知函数 , ( 1 )求该函数的周期,最大值和最小值; ( 2 )求该函数的单调递增区间。. 例 4. 若 ,设 ,.

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3.2 简单的三角恒等变换

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  1. 3.2 简单的三角恒等变换

  2. 例1.试以 表示

  3. 例2.求证:

  4. 例3.已知函数 , (1)求该函数的周期,最大值和最小值; (2)求该函数的单调递增区间。

  5. 例4.若 ,设 , (1)写出函数 f(x)的解析式,并指出它的最小正周期; (2)若 , f(x)的最小值为2,求m的值。

  6. Q 例5.如图,已知OPQ是半径为1,圆心角为 的扇形,C是扇形 弧上的动点,ABCD是扇形的内接矩形,记∠COP= ,问当 角 取何值时,矩形ABCD的面积最大?并求出这个最大面积。 D C O B P A

  7. 布置作业( 略)

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