Understanding the Difference Between Sophism and Pythagorism in Mathematics

[waitshift]

Homework Statement

If circles contained 1001 degrees instead of 360 how would sohcahtoa and the math of relevant angles change? What would the number of seconds be in a day?
Will we be able to push scientific reform of our educational systems and interest more people in science?

Relevant Equations

Sohcahtoa

I, being a not very accomplished mathematician, cannot understand these maths involved.
I understand that circles simply contain 360 degrees, but how does the math differ if they do not?

 

[BvU]

but how does the math differ if they do not?

Should be rather insensitive to that. After all, there's a whole lot of folks who think it's $2\pi$ instead of 360. And I think there's even a few that use 400

[edit] I had to look up sohcahtoa -- fortunately trig stuff is mostly ratios, so insensitive.

Also had to look up sophism (well...) and start to feel a bit suspicious now

And we already have plenty students who have problems with the radians/degrees setting of their calculator, so let's not add another measure for angles, please