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三角函数是高中数学中的一个重要内容,也是数学竞赛中的一个重要内容,同时也是高考的一个重要考点。而求和是三角函数中的一个重要内容,因此探讨有关三角函数和的三角恒等式显得尤为重要。本文通过求复数的实部与虚部的和来解决三角函数的求和问题,同时把求复数的和转化为求积分与导数和,从而求出三角函数的和。通过利用复数、积分、导数和给出了7个三角函数恒等式及4个三角函数恒等式的推论公式。
Trigonometry is an important part of high school mathematics and is also an important part of the mathematics competition. It is also an important test center for college entrance examination. Summation is an important part of the trigonometric functions, so it is particularly important to explore the trigonometric identities of trigonometric functions. In this paper, the summation of trigonometric functions is solved by summing the real part and the imaginary part of the complex number, while the sums of the complex numbers are transformed into the summation of points and the sum of derivatives. Through the use of complex numbers, integrals, derivatives and given inference of seven trigonometric function identities and four trigonometric function identities.