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三角不等式的证明方法是多种多样的。有一类有关角与三角函数的不等式同学们往往无从下手,觉得角与三角函数之间的关系很难发现。下面就介绍一种这类题目的常用的证法——单位圆证法。这种证法的主要步骤是:在单位圆中将角与三角函数用它们对应的弧、线段表示出来,然后依靠图形直观地加以比较。这种方法简洁,易于掌握。
The methods of proof for triangular inequalities are diverse. There is a class of inequalities related to angles and trigonometric functions. Students are often unable to start with, and find that the relationship between angles and trigonometric functions is difficult to find. The following describes a common proof of this type of problem - unit circle proof. The main steps of this method of verification are: In the unit circle, the angle and trigonometric functions are represented by their corresponding arcs and line segments, and then they are compared visually by means of graphics. This method is simple and easy to master.