利用第二类契贝谢夫多项式的性质得到了关于正余弦函数的一组有趣的恒等式。
With the use of the properties of the second Chebyshev polynomial, a group of interesting identity of sine and cosine function is obtained.
利用解析函数的性质，通过反双曲余弦计算出了由共焦点椭圆导体柱面组成的电容器内电场和单位长度的电容，并对结果作了进一步讨论。
The electric field and capacitance of a confocal elliptic capacitor are calculated by the inverse hyperbolic cosine analytic function, and discussion on them is performed.
通过对滤子积余弦算子函数及生成元谱性质的讨论，建立了局部等度连续余弦算子函数的谱映象定理。
By discussing the filter product cosine operator function and the spectrum of it 's generator, the spectral mapping theorem for the locally equicontinuous cosine operator function is established.
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