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大家知道,8in~2α+cos~2α+1,sinα/cosα=tanα是苏教版必修中的两个重要的同角三角函数关系式,它们反映的是同一个角的正弦、余弦、正切三种三角函数间的关系,利用它们可以进行同角的三角函数的求值、化简、证明的恒等变换。正确使用这些关系式能使解题方便流畅,对理解三角变换的方法中的“1”的代换、弦切互化等重要变换技巧有着很大帮助,对培养数学基本素养、思维品质和习惯有着较好的导向作用.下面我们从一条引题说起,看同角三角函数基本关系式的正确使用.
As we all know, 8in ~ 2α + cos ~ 2α + 1, sinα / cosα = tanα are two important co-angular trigonometric functions in Supranational version of the compulsory, they reflect the same angle sine, cosine, tangent three The relationship between the kinds of trigonometric functions, the use of them can be the same angle trigonometric function evaluation, simplification, proof of identity transformation. Proper use of these relations can make the problem easy and smooth. It is of great help to the important transformation techniques such as the substitution of “1 ” and the interaction of strings in the method of understanding the triangle transformation. It is of great help to cultivate the basic literacy, thinking quality And habits have a good role in guiding the following we start from a quotation to see the correct use of the same relationship with the trigonometric trigonometry.