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由给出的某些角的三角函数值,求另外一些角的三角函数值是三角函数求值中的一个常见题型,解决这类问题的关键在于寻找未知角与已知角之间的关系.但对于一些复杂的三角函数求值问题,部分学生直接寻找关系较为困难,即使找到了关系,整体的思想方法不到位,在解题过程中还是会碰壁.针对这类问题,笔者在教学过程中注意到,使用换元的思想方法可以避开这些问题的困扰.
The trigonometric function values of some other angles are obtained from the trigonometric values of some of the given angles, which is a common problem in the evaluation of trigonometric functions. The key to solving this kind of problem lies in finding the relationship between the unknown angle and the known angle However, for some complex trigonometric function evaluation problems, some students find it difficult to directly find the relationship, even if the relationship is found, the overall method of thinking is not in place, or in the process of solving problems or will run into trouble.For these problems, the author in the teaching process Note that the thought-provoking approach avoids these problems.