/sci/ - Science & Math

>>5690266
>>mfw when the tangent of a triangle is a tangent on the unit circle
that doesnt even make sense

>>5690302
lol OP obviously has some communication deficiency, clearly a manifestation of even larger problems.

What he's trying to say is that when you calculate sin and cosine in a unit circle you do so by drawing horizontal and vertical lines. These can be used to make a right triangle inside the unit circle with one corner on the unit circle and another at the origin. Using normal trig logic to calculate the tangent value in a triangle (the way it's taught to derpy highschoolers) you get the same thing as if you had calculated the slope of the line tangent to the circle at the exact point at which the corner of the triangle is lying on the circle.

>>5690311
>being this pleb

>>5690311

mind = blown

You'll like this pic OP.

>>5690354

>tfw sine of theta gives you the radius of the circle

>>5690354

>tfw when sine of theta equals 0, you get the radius of the circle

>>5690375
>>tfw when sine of theta equals 0, you get the radius of the circle

>when sine of theta equals 0
>when sin(theta) = 0
>you get the radius of the circle

>the radius of the circle
>0
mfw

>>5690311
should be the inverse of said relation.

>>5690375
dude that's fucking kindergarten stuff, sin 90 is 1 and cos 0 is 1

but it's still cool

>>5690354
holy crap what is this versec and exsec shit

are these used for anything

>>5690379
Back in the day when people had books of this shit computed to so many digits for different angles they would also compute those and people on boats and shit would use them, or at least that's the explanation I've heard. Now we just use sine, cosine, and tangent; if you're using anything else then you're either just being ironic or a hipster.

>>5690379
The were mostly used before calculators. Especially for navigation. The versine was actually once more popular than the sine.
http://en.wikipedia.org/wiki/Versine#History_and_applications

>>5690383
>>5690387
taking Linear Algebra basically made me infinitely thankful we live in a world with calculators and computers

I cannot imagine actually computing values in an era where you had to do everything by hand with quill and ink and *candlelight*.

Doing matrix multiplication by hand? If I had to multiply more than one 4x4 matrix by hand in a time without computers I would INVENT ONE just to make sure I never had to do it again. Augh.

>>5690401
My high school class included an intro to matrices, and the teacher was insane.

He made us do a 5x5 for a test, as I remember...

>>5690421
ooh torturous

>>5690379
versin=1-cos
exsec=csc-1

>>5690401
>yfw need to take determinant with expansion with respect to the first row algorithm. No zeroes. 5x5 matrix.

>>5690401
>>5690500
>mfw doing 5x5 determinants with variables fucking everywhere
>mfw I no longer have a face