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在三角函数教学中我们引进了单位圆,这对于直观表示任意角的三角函数,描绘三角函数图象,研究三角函数的有关性质及推导三角公式等提供了极大的方便.其实,单位圆在解题中,尤其在利用单位圆构造条件可化数为形的解题中,有着独特的功能.现举例如下:例1已知sin4αcos2β+csions24α
In the teaching of trigonometric functions we introduce the unit circle, which provides great convenience for intuitive representation of trigonometric functions of arbitrary angles, drawing of trigonometric functions, study of the properties of trigonometric functions, and the derivation of trigonometric formulas. In fact, the unit circle is In solving the problem, especially in solving problems using the unit circle construction conditionalizable number form, it has a unique function. The example is as follows: Example 1 Known sin4αcos2β+csions24α