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本刊刊登的文〔1〕、〔2〕、〔3〕阅来颇有收益,深受启发,联想到我们在求y=P(x)/Q(x)(P(x)、Q(x)的次数不超过2)的值域时,经常采用的判别式法,笔者依法炮制出一个与之类似的三角判别式法,现简介如下。定理:设方程asinx+bcosx+c=0(a、b不同时为零,x_0≤x0时,方程(*)有相异二实根 (2)当△=0时,方程(*)有相等二实根 (3)当△<0时,方程(*)没有实数根。
The articles [1], [2], and [3] published in this journal are quite rewarding and inspired. We think that we are seeking y=P(x)/Q(x)(P(x), Q( When the number of x) does not exceed the value range of 2), the discriminant method that is often used, the author made a similar method of trigonometric discriminant according to the law, and the introduction is as follows. Theorem: Set the equation asinx+bcosx+c=0 (a and b are not zero at the same time, and x_0≤x 0, the equation (*) has two different real roots (2) When △ = 0, the equation (*) has two equal real roots (3) When △ <0, the equation (* ) There is no real number root.