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/sci/ - Science & Math

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5569729 No.5569729 [Reply] [Original]

Ok, please don't sperg out on me.

I'm just doing some personal exploratory mathematics, and I just want to check my findings against some of the greater mathematical minds here.

I recently have been taking a little dip into trigonometry. I've been trying to find the ratio of a base of a right triangle (whose hypotenuse is the radius of a circle, and the other two angles are 45 degrees) to the radius itself. The answer I'm getting is that the hypotenuse is 1.9036 times the length of the base.

Am I correct?

>> No.5569774

please respond

>> No.5569795

>>5569729
if i understand you correctly it should be 1.414 times the "base", that is sqrt(2)

>> No.5569798

No. If you take the radius of the circle (hypotenuse) to = 1, then the base of the triangle is sqrt(2)/2. Multiply both sides by 2/sqrt(2) to see that the radius (hypotenuse) is 2/sqrt(2) (or about 1.414) times the length of the base.

>> No.5569821
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5569821

>>5569795
>>5569798
Hmmm, chances are I'm wrong, but just to make sure here's a picture to clarify what I'm talking about and the process I went through.

Ok, so the hypotenuse can be any arbitrary number (I chose 5 in my calculation) and did 5cos(45) (because cos = adj/5) and got 2.626609944, which I then divided 5 by. Where's the error in my thinking?

>> No.5569838

>>5569821
are you in radians or degrees

>> No.5569842

>>5569798
>2/sqrt(2)
you usually write this as sqrt(2)

>> No.5569848

>>5569821
change calculator to degrees

>> No.5569861

>>5569838
>>5569848
Sorry, I have a ti84+ and can't figure out for the life of me how to do it.

I'm looking for "MODE", but can't find that shit anywhere...

>> No.5569867

>>5569838
>>5569848
>>5569861
Fuck me, I found it and yeah, it did the trick.

Good to know my logic wasn't fucked up though.

AWESOME! I FEEL THE POWER OF MATH RUNNING THROUGH MY VEINS!!

>> No.5569873

>>5569861
Hit [Mode]. On the third line down (for a TI-84+), there will be two options: Radian and Degree. Simply choose Radian, then exit [2nd][Mode] (Quit).

>> No.5569877

>>5569867
yeah. nice to know the calc was at fault, not the brain.

>> No.5569884

>>5569867

base:hypotenuse is 1:sqrt(2) because a=b because 180-90-45=45 and sqrt(x^2+x^2) is x*sqrt(2). therefore the ratio is x*sqrt(2)/x= sqrt(2).

you learn that shit in 8th grade tho.

>> No.5569888
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5569888

>>5569873
lol I read that yahoo answer too, just couldn't find the MODE button.

>>5569877
indeed it is, indeed it is.