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Trigonometry

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Trigonometry

Postby Maugena on Tue Jun 19, 2012 12:44 am

Can anyone help me simplify this equation? :o
I've been at it for a couple of days now... (I've been consulting Wikipedia's pages, haha...)

Original equation...
(r1 + r2)^2 = ((x2 - x1) - (bcr1 * cos(s1/bcr1 * t + θi1) - bcr2 * cos(s2/bcr2 * t + θi2)))^2 + ((y2 - y1) - (bcr1 * sin(s1/bcr1 * t + θi1) - bcr2 * sin(s2/bcr2 * t + θi2)))^2

...with the variables...

r1 = 2
x1 = 5
y1 = 7
bcr1 = 4
θi1 = 225
s1 = 3

r2 = 3
x2 = 8
y2 = 12
bcr2 = 3
θi2 = 45
s2 = 45

Latest progress...
24cos(1/12t + 180) + 24cos(3/4t + 225) + 40sin(3/4t + 225) = 18cos(2/3t + 45) + 30sin(2/3t + 45) + 34

I've used the Pythagorean identity a few times now, used the Angle Sum Identity, but can't think of how else I can simplify this.
(Obviously trying to solve for "t".)
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Re: Trigonometry

Postby ManBungalow on Tue Jun 19, 2012 5:06 am

I'd probably try to use these identities and factorise some things out, but I'm not really sure.

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Re: Trigonometry

Postby jammyjames on Tue Jun 19, 2012 5:15 am

What does your "t" stand for?
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Re: Trigonometry

Postby Maugena on Tue Jun 19, 2012 8:33 am

jammyjames wrote:What does your "t" stand for?

Time.
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Let's just have a good time, all right?
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Re: Trigonometry

Postby jonesthecurl on Tue Jun 19, 2012 8:58 am

We Brits know about T-time.
Unfortunately I forgot all my trig sometime during the Jurassic.
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Re: Trigonometry

Postby PLAYER57832 on Tue Jun 19, 2012 9:16 am

Maugena wrote:Can anyone help me simplify this equation? :o
I've been at it for a couple of days now... (I've been consulting Wikipedia's pages, haha...)

Original equation...
(r1 + r2)^2 = ((x2 - x1) - (bcr1 * cos(s1/bcr1 * t + θi1) - bcr2 * cos(s2/bcr2 * t + θi2)))^2 + ((y2 - y1) - (bcr1 * sin(s1/bcr1 * t + θi1) - bcr2 * sin(s2/bcr2 * t + θi2)))^2

...with the variables...

r1 = 2
x1 = 5
y1 = 7
bcr1 = 4
θi1 = 225
s1 = 3

r2 = 3
x2 = 8
y2 = 12
bcr2 = 3
θi2 = 45
s2 = 45

Latest progress...
24cos(1/12t + 180) + 24cos(3/4t + 225) + 40sin(3/4t + 225) = 18cos(2/3t + 45) + 30sin(2/3t + 45) + 34

I've used the Pythagorean identity a few times now, used the Angle Sum Identity, but can't think of how else I can simplify this.
(Obviously trying to solve for "t".)

25 =25.


Oh, and did you know you can get rid of that question mark for your rank by simply completing 5 games?
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Re: Trigonometry

Postby ManBungalow on Tue Jun 19, 2012 9:53 am

Huge breakthrough in the Bose–Einstein condensate reported!



7 =7
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Re: Trigonometry

Postby Army of GOD on Tue Jun 19, 2012 12:50 pm

1!=1
mrswdk is a ho
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