But let me go back to these sines, cosines and logarithms.

但让我们再来说说正弦、余弦和对数函数。

I actually write it with these little ridges in it, so SOH... CAH... TOA.

我写时候会写成这种三角形状，这是正弦，余弦，正。

And compute over 10,000 calculations by cosine, square root and lately Analytic Geometry.

还要完成上万笔计算处理余弦，平方根，最近还用起了解析几何。

So the factor by which the slice gets squished down in this direction is exactly cosine of theta.

， 在这个方向上被压扁素正是 theta 余弦。

And the answer to the equation would have been cosine x, like COS x.

这个方程是余弦x，即COS x。

So, the cosine of theta is equal to the (ball’s position) divided by its (amplitude).

， theta 余弦等于（球位置）除以它（振幅）。

And the cosine of 90 degrees is zero.

90度余弦值是零。

There are others, sine, cosine, add, subtract.

还有其他，如正弦、余弦、加法、减法。

They use the cosine transform in JPG.

他们在JPG中使用了余弦变换。

How is knowing cosines gonna help you with your backstroke?

学会余弦对仰泳有什么帮助？

It's all just trigonometry, connecting sides and angles through sines and cosines.

这是三角学，上边 以及跨正弦和余弦角度。

I don't have the slightest idea what sine and cosine mean.

我根本不知道正弦和余弦是什么意思。

As the author Manish says, basically cosine similarity is a bridge between human language and machine understanding.

正如作者Manish所言，简而言之，余弦相似度是连接人类语言与机器理解桥梁。

So, the law of cosines is an extension of the pythagorean theorem to the arbitrary angles...

所以余弦定律是勾股定理对任意角度延伸。

The Discrete Cosine Transform works kinda like this.

离散余弦变换大致是这样工作。

And then I need to multiply by cosine of the angle in this case the angle is 30 degrees.

然后我需要乘以角度余弦，在这种情况下角度是 30 度。

In other words, the ball's position is equal to (the amplitude), times (the cosine of the angle).

换句话说，球位置等于 幅度乘以角度余弦乘积。

In other words, the ball’s position is equal to (the amplitude), times (the cosine of the angle).

换句话说， 球位置等于（振幅）乘以（角度余弦值）。

The  force of gravity perpendicular equals mass times gravitational field strength times the cosine of  the incline angle.

重力垂直分量等于质量乘以重力场强度再乘以斜面角度余弦值。

Not only will you learn the math involved, and cosine similarity, you'll also see it implemented in Python.

你不仅能学到相关数学知识以及余弦相似度，还能看到它在Python中实际应用。