Math escapes me today.
How do I find the X speed and the Y speed of an object if it is going at a defined speed (say, 5 pixels/second) at a 45 degree angle?
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So always 5 pixels/sec and always 45 degrees?
The general case is
a is angle, usually in radians, so convert from degrees, and the signs (positive/negative) will depend on your coordinate system.
Crazy fact from the 1980s: In the old days, we used lookup tables for sin and cos!
Edited: Made my axes more conventional thanks to comment below. x is positive to your right. y is positive up. 45 degrees is to the northeast. If you have something else, let me know.