3 ms·
If you differentiate sin(x) with respect to x then you get cos(x), but only if your trig functions are using radians. Any other unit results in an extra coeffic
by cillian64 4y ago
If you differentiate sin(x) with respect to x then you get cos(x), but only if your trig functions are using radians. Any other unit results in an extra coefficient appearing. That’s not an insurmountable problem, but radians are the fundamental unit here, not just an arbitrary choice.
- bvrmn 4y agoI could forget something but sin'(ax) = cos(ax). If a is a constant factor.
- 6gvONxR4sf7o 4y agoYou get extra coefficients appearing, but also extra coefficients disappearing. If 2 pi x is showing up everywhere, you still have to deal with it: d/dx sin(2 pi x) = 2 pi cos(2 pi x) vs d/dy new_sin(y) = 2 pi new_cos(y) “Fundamental unit” really depends on what you care about.