I so confuzed :S. Arrived at this equation after I'm halfway done with a problem and can't figure out a way to isolate theta. The teacher insists that it's possible but will not surrender the solution. Anyone bright enough to see a simple way to get the answer?
(Δx, Δy, and v are constants, but that shouldn't really matter much. )
I don't see a straight forward way to do this, since you have two separate theta variables. Since there are two variables, every time you try to isolate one, you modify the other, and thus have to do the opposite of your modification to isolate the first one, putting you back to where you started. You can't isolate theta unless you find a single set of formula modifications that frees up both variables at once, and I either can't see how, or it's impossible.
Tan = Sin/Cos. Like this, you get 2 Cos at the bottom of fractions. And with Delta Y, multiply by Cos/Cos. From there, try to isolate some of the cos in front of the whole equation. Once that's done, you should get something like:
0 = cos(θ) * (BLAH BLAH BLAH)
All you need to do is to divide 0 by "BLAH BLAH BLAH", and you're left with cos(θ) = 0. cos-1(θ)=cos-1(0).
But I'm really not sure and I haven't calculated anything. It was just what I had in mind.
Tan = Sin/Cos. Like this, you get 2 Cos at the bottom of fractions. And with Delta Y, multiply by Cos/Cos. From there, try to isolate some of the cos in front of the whole equation. Once that's done, you should get something like:
0 = cos(θ) * (BLAH BLAH BLAH)
All you need to do is to divide 0 by "BLAH BLAH BLAH", and you're left with cos(θ) = 0. cos-1(θ)=cos-1(0).
But I'm really not sure and I haven't calculated anything. It was just what I had in mind.
Tan = Sin/Cos. Like this, you get 2 Cos at the bottom of fractions. And with Delta Y, multiply by Cos/Cos. From there, try to isolate some of the cos in front of the whole equation. Once that's done, you should get something like:
0 = cos(θ) * (BLAH BLAH BLAH)
All you need to do is to divide 0 by "BLAH BLAH BLAH", and you're left with cos(θ) = 0. cos-1(θ)=cos-1(0).
But I'm really not sure and I haven't calculated anything. It was just what I had in mind.
I've made 0/something, and not something/0. I can't see the relevancy of your video.
Hence my quick deduction that Theta was equal to cos-1(0)... I thought the 0 was a good thing we could use to our advantage to nullify a lot of things with divisions or multiplications. ;o
cos(theta) was in the denominator, so if payne arrived at the conclusion that cos(theta) = 0, then the original expression has divisions by zero, which is clearly not the case.
Basically: Given v, find θ for which a projectile launched from (0, 0) will pass through point N, with coordinates (Δx, Δy). Gravity is -9.8 m/s2 in the negative-y direction.
Instead of substituting sqrt(sec^2 - 1) for tan(theta), try substituting 1 + tan^2 for sec^2. That way if tan(theta) = x, you have an equation of the form 0 = ax^2 + bx + c, instead of ax + bsqrt(x) + c Should simplify things for you.
well vrael beat me to it... Demon contacted me asking to help =P, what a nice guy haha.
Okay, so you know all those constants? Fuck them, they're constants and they can fuck themselves. Basically they're just trying to overwhelm you. So yeah, simplify this way:
a = (4.9 delta(x)^2)/v^2 b = delta(x) c = -delta(y) + a
and do what vrael said above and substitute sec^2(theta) with 1 + tan^2(theta). You will distribute the a to the 1 and to the tan^2(theta), then lump -delta(y) and a together and replace it with c (because they're both constants they're going to have butt sex with eachother =P).
Oh_Man shouted: yeah i'm tryin to go through all the greatest hits and get the runs up on youtube so my senile ass can appreciate them more readily
You should do my Delirus map too; it's a little cocky to say but I still think it's actually just a good game lol
[2024-4-20. : 8:20 pm]
Ultraviolet -- Goons were functioning like stalkers, I think a valk was made into a banshee, all sorts of cool shit
[2024-4-20. : 8:20 pm]
Ultraviolet -- Oh wait, no I saw something else. It was more melee style, and guys were doing warpgate shit and morphing lings into banelings (Infested terran graphics)
