Is this genuine? Like is the unit circle really fucking you up that bad?
You leave my unit circle alone!
I’m pretty dumb, so I don’t understand this one.
Pythagorean theorem.
Although, don’t solve this or else Pythagoras might throw you off of a boat
Pretty sure this is Pythagorean Identity, theorem is a²+b²=c²
Why?
SOH CAH TOA
Ah, sohcahtoa. Not to be confused with
Please elaborate.
Sine of theta is the ratio of the lengths of the Opposite side over the Hypotenuse (SOH). Cosine of theta is Adjacent over Hypotenuse (CAH). Tangent of theta is Opposite over Adjacent (TOA).
Oh you’re saying opposite site and adjacent site in English
Anyway how is the r=1 circle harmful for that?
It’s not. It’s just one of those things that people groan about because when you first learn it the concept is confusing. After about 15 minutes of instruction on a unit circle, it’s not a big deal at all.
Believe this was featured in a paper that recently used trig to prove the Pythagorean theorem (previously thought to be a circular definition). I think some highschoolers cracked it as part of a mathematics challenge or something.
Someone needs to turn this into loss
Why is it 1
It was freely chosen for simplicity.
If you choose another R, the other sides (x and y) become R*cos(th) and R*sin(th)
I don’t understand what is harmful about the unity circle either.
for the same reason that rulers start with 1, it would be utterly pointless to use anything else.
Your ruler starts with 1? How do you measure stuff between 0 and 1?
those are unlabeled, have you ever seen a ruler?
I am fascinated, can you show a picture
Zero is not unlabelled lol
Any circle could have its radius technically be 1, as long as you set the units of measurement so that 1 equals the radius of the circle.
units? what are those? I never use units, or pay attention to capitals. pure math ftw, baby!
spoiler
Rapidly hides from the science professors
Pure math uses units. Like they say “1 unit”
Sometimes the units are given cute names like “wiggly waggly units” to make physicists cringe. Acknowledging a unit with cute names when the unit is not important is entertaining.
Because it’s a unit circle.