> but they're hard to visualise and reason about because they don't fit a circle in whole numbers.
I think, unfortunately, that you can't avoid encountering irrational numbers in trig. You would need to constrain yourself to working only with right angles, but in those cases sin and cos are trivial[0] so there would be no need to use trig in the first place.
[0]: 1 or 0, you're either on the right axis or you're not. No circles involved.
I think, unfortunately, that you can't avoid encountering irrational numbers in trig. You would need to constrain yourself to working only with right angles, but in those cases sin and cos are trivial[0] so there would be no need to use trig in the first place.
[0]: 1 or 0, you're either on the right axis or you're not. No circles involved.