this post was submitted on 31 Oct 2024
105 points (89.5% liked)

Science Memes

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[–] [email protected] 36 points 3 weeks ago

Is this genuine? Like is the unit circle really fucking you up that bad?

[–] [email protected] 33 points 3 weeks ago (2 children)

I'm pretty dumb, so I don't understand this one.

[–] [email protected] 14 points 3 weeks ago (1 children)

Pythagorean theorem.

Although, don't solve this or else Pythagoras might throw you off of a boat

[–] [email protected] 17 points 3 weeks ago

Pretty sure this is Pythagorean Identity, theorem is a²+b²=c²

[–] [email protected] 3 points 3 weeks ago (1 children)

Probably that trigonometry is the highest math the average person will take?

[–] [email protected] 5 points 3 weeks ago

I got to calculus 2 and proceeded to forget everything through algebra II once I took a break from math for a semester.

[–] [email protected] 22 points 3 weeks ago

You leave my unit circle alone!

[–] [email protected] 19 points 3 weeks ago (1 children)
[–] [email protected] 9 points 3 weeks ago (2 children)
[–] [email protected] 24 points 3 weeks ago (1 children)

Ah, sohcahtoa. Not to be confused with

img

[–] [email protected] 9 points 3 weeks ago

Thx, this is not helpful, but I will never be able to think of it any other way now

[–] [email protected] 10 points 3 weeks ago (1 children)
[–] [email protected] 11 points 3 weeks ago* (last edited 3 weeks ago) (2 children)

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).

[–] [email protected] 7 points 3 weeks ago* (last edited 3 weeks ago) (1 children)

Oh you're saying opposite site and adjacent site in English

Anyway how is the r=1 circle harmful for that?

[–] [email protected] 5 points 3 weeks ago

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.

[–] [email protected] 3 points 3 weeks ago (1 children)

How do you know which one is "opposite" and adjacent? They could literally be exactly the same but in any case they both touch the hypotenuse?

[–] [email protected] 11 points 3 weeks ago (1 children)

Adjacent or opposite to the angle you're referring to.

[–] [email protected] 2 points 3 weeks ago (1 children)

So the picture is wrong then, the marked angle is top right (and the right angle, of course), the other angle is not marked, so adjacent and opposite are swapped.

[–] [email protected] 2 points 3 weeks ago

The one with the Jedi? Yes, was wondering about that too. If you get through the trouble creating something like that you should really try to make it right.

[–] [email protected] 14 points 3 weeks ago

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.

[–] [email protected] 5 points 3 weeks ago

Someone needs to turn this into loss

[–] [email protected] 3 points 3 weeks ago (4 children)
[–] [email protected] 26 points 3 weeks ago* (last edited 3 weeks ago)

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.

[–] [email protected] 11 points 3 weeks ago (1 children)

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.

[–] [email protected] 2 points 3 weeks ago* (last edited 3 weeks ago) (1 children)

units? what are those? I never use units, or pay attention to capitals. pure math ftw, baby!

spoilerRapidly hides from the science professors

[–] [email protected] 4 points 3 weeks ago (1 children)

Pure math uses units. Like they say "1 unit"

[–] [email protected] 2 points 3 weeks ago

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.

[–] [email protected] 6 points 3 weeks ago

Because it's a unit circle.

[–] [email protected] 1 points 3 weeks ago (1 children)

for the same reason that rulers start with 1, it would be utterly pointless to use anything else.

[–] [email protected] 6 points 3 weeks ago (1 children)

Your ruler starts with 1? How do you measure stuff between 0 and 1?

[–] [email protected] 2 points 3 weeks ago (2 children)

those are unlabeled, have you ever seen a ruler?

[–] [email protected] 3 points 3 weeks ago

I am fascinated, can you show a picture

[–] [email protected] 3 points 3 weeks ago

Zero is not unlabelled lol

[–] [email protected] -1 points 3 weeks ago (1 children)

Took me a minute to notice, but it was worth it

[–] [email protected] 7 points 3 weeks ago

Notice what??

You can use the spoiler tagNo spoiler