Building anything requires trigonometry, unless you just say “fuck it” and hope the thing doesn’t fall apart, which is a pretty stupid way to live life.
Chicken coops have a ramp for the entrance, so when building it, you need to know the length of the ramp required for the desired angle, as well as making the"rungs" (I don’t know what they are actually called) on said ramp flush with the ground.
I use trig every few years when buying a tv. Tv specs always list diagonal but rarely horizontal and vertical which is needed for knowing how a TV will fit in a space.
Ratios can be used in trig – if it’s 1.5 times as long as it is tall, tan(\theta) = \frac{2}{3}, which then allows you to find the lengths of the other two sides easily so long as you have a calculator.
Right, but why bring theta into it at all? TV screens are as a hypotenuse (a²+b²) with a fixed ratio (a/b=16/9), so you just need to solve for a and b.
You don’t have to, but it seems perfectly easy since you don’t have to write anything down to solve it. csin(arctan(b/a)) gives b, and ccos(arctan(b/a)) gives a. I’m not disputing that you can do it without, but I don’t think it’s necessarily any quicker or easier.
1209 is 3 times 13 times 31, and cats are better at typing than they are at math.
In base 10, the sum of the digits of any number that is divisible by 3 is also divisible by 3, so 1+2+0+9=12, implies 1209 is divisible by 3.
Likewise, 1001 is divisible by 13, so if you split a number in base 10 every 3 digits, and subtract/add alternating sets of numbers, if the result is divisible by 13, the original number is, too. 209-1 is 208, which is obviously divisible by 13, so 1209 is, too.
Divisibility by 31 in base 10 is harder to check, but 999998 is divisible by 31, as is 999999999999999, so you can just split the number every 15 digits, and add those together, and if the sum is divisible by 31… I’m talking about math to a cat.
did you know that adding up all the divisors of 1209 and swapping the last two digits gives you a number that can be represented as the sum of two cubes in two different ways? or maybe not, I’m just a cat :3
Anything that is “degrees” is the devils work. Radians are so neat and IIRC it makes a lot of trigonometry math easier. Yes, they’re a bit weird to get into once one has been indoctrinated to degrees, but (pi/2) radians is just so nice.
Yeah I fuckin’ love dealing with transcendental constants and fractions just to describe a right angle. A quarter-circle being one-half just makes so much sense! It’s awesome seeing all these mantissa-only numbers, because you can totally tell apart sane results and srand() without doing floating-point math in your head!
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