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November 01, 2025, 07:43:18 pm
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Author Topic: Circular function help  (Read 1500 times)  Share 

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kaanonball

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Circular function help
« on: March 13, 2009, 08:33:55 pm »
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kamil9876

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Re: Circular function help
« Reply #1 on: March 13, 2009, 09:20:03 pm »
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so
which line has a gradient negative to line OB?

the four triangles I have drawn are all congruent and the points A, B, D and F are on teh unit circle. Using symmetry we can see that their gradients all have the same magnitude, only that some are in the negative direction, some in the positive. So obviously:




Now u must find what these angles are using symmetry.


Simplify this.


And this too.

THe above two equations were derived graphically, using the fact that
« Last Edit: March 13, 2009, 09:24:59 pm by kamil9876 »
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Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

kaanonball

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Re: Circular function help
« Reply #2 on: March 13, 2009, 09:56:37 pm »
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i need help with this question as well

the part cut of is
« Last Edit: March 13, 2009, 09:59:27 pm by kaanonball »
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kamil9876

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Re: Circular function help
« Reply #3 on: March 13, 2009, 10:00:10 pm »
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I've answered to this one before in truetears' thread. http://vcenotes.com/forum/index.php/topic,9192.225.html

Question 19.
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Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

kaanonball

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Re: Circular function help
« Reply #4 on: March 13, 2009, 10:00:53 pm »
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Quote from: kamil9876 on March 13, 2009, 10:00:10 pm
I've answered to this one before in truetears' thread. http://vcenotes.com/forum/index.php/topic,9192.225.html

Question 19.

ty =]
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Mao

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Re: Circular function help
« Reply #5 on: March 13, 2009, 11:28:47 pm »
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iirc, that question and another question earlier in that chapter were asked and answered numerous times by numerous people :P
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