this post was submitted on 21 Apr 2024
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With π=5 maths break down completely. If π=5, then e^(5i) = -1, meaning -1 = cos(5) + i * sin(5), or -1 ≈ 0.284 - 0.959 i
I think you're overthinking it. The first thing you're told when you learn algebra is that a letter represents a number and you can say "let a equal (number), b equal (number)..." so you can let pi equal whatever you want for the purposes of one simple problem.
Or as I like to call pi...the little symbol thingy. But exactly yes, you get it.
Except pi isn't a variable. It is a known value that we refer to as pi for convenience, and pi is a fundamental aspect of how a circle is. Saying "let pi equal 5" is all fine and well but is physically impossible, you will not be determining the volume of a cylinder if you let pi equal 5, because the ratio of a circle does not equal 5, it equals 3.14
But I suppose part of solving a maths problem is staying within the confines of the question and listening to instructions, so if someone says "using pi equals 5", I'd just use pi equals five and take my point with grace.
Okay but they didn't say 3.14 they made a little symbol thingy