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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被限定的余弦函数之反函数叫做反余弦函数。

The inverse function of that restricted cosine function is called the arccosine function.

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在三角区域的广义正弦函数和广义余弦函数基础上，定义了三角区域的离散广义正弦变换和离散广义余弦变换。

Based on the generalized sine and cosine functions in the triangular domain, the discrete generalized sine and cosine transform are defined.

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Then you're supposed to know derivatives of simple functions like sines and cosines.

你应该知道一些简单函数的导数,比如正弦函数和余弦函数

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I'm using the fact that when you take a cosine and change the angle inside the cosine, it doesn't care. whereas, if you go to the sine and change the angle inside the sine, it becomes minus sine.

我用了一个结论,当你使用余弦函数时,改变角度的正负,函数值不变,而对于正弦函数,改变角度的符号,则函数值也会变号

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For example, this is x=t, x=t^, you're going to have x=sin t and cos t and log t.

例如,这是x=t,x=t^,你还会遇到正弦,余弦,对数函数

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