4 ms·
because sin and cos have simple Taylor series, but only when measuring angles in radians. sin(x)/x at zero is one only in radians. Just multiplying by the angle
by bronzeage 5y ago
because sin and cos have simple Taylor series, but only when measuring angles in radians. sin(x)/x at zero is one only in radians. Just multiplying by the angle is a good approximation of sin for low angles, again only in radians. I bet even an alien mathematician will describe angles in radians.
- deleted 5y ago[deleted]
- boublepop 5y agoThe equivalent if sin taking revolutions (let’s say sinr) is just sinr(x)=sin(x2pi) there is no fundamental mathematical relation broken by this, that would indicate math was broken at the core. And the Taylor expansion isn’t any less simple, you simply state the pi’s in the expansion rather than having them implied in your input variable. It’s amazing people assume math will break somehow if you use a different unit for angles, when most should at least be familiar with using both 360 and ~6.283 and some using 200 as the scale for one rotation. And when trying to reason about it every single person always translates this into ratios of rotations or percentages of rotations.