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| bio | website | wwright1729.wordpress.com |
|---|---|---|
| location | Austin, TX | |
| age | 22 | |
| visits | member for | 2 years, 10 months |
| seen | Feb 2 '12 at 23:43 | |
| stats | profile views | 246 |
undergraduate physics/math major at UT Austin
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May 1 |
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Distance between two points on a function you can use codecogs.com/latex/eqneditor.php to help with tex code. just enclose what the page produces in dollar signs. |
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Apr 22 |
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Solving Trigonometric Equation @Paul Belardi - to get all the solutions one can square both sides and use the Pythagorean identity $\sin^{2}\left(x\right)+\cos^{2}\left(x\right)=1$ to turn this equation into a polynomial in $y=\sin\left(x\right)$. Unfortunately, you can factor a linear term out but you then end up with a cubic. You can actually solve the cubic equation in general via Cardano's formula. The trouble is that we have our solution in terms of $\sin(x)$ and $\sin(x)=k$ can in general only be solved numerically unless we get lucky and get a value we know. But that may be more than you wanted to know :) |
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Apr 21 |
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Solving Trigonometric Equation @Paul Belardi - I was hoping this would make it clear to take t=0, but I guess its something you either see or don't see. Note integer multiples of $2\pi$ also solve this. |
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Apr 21 |
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Solving Trigonometric Equation Note: the solution I have in mind does not exhaust all solutions, and the way I am thinking about this problem, it seems difficult to find exact values for all solutions. I can elaborate on this point if you are interested, but I felt it may have been a bit too distracting. |
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Apr 21 |
answered | Solving Trigonometric Equation |
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Apr 19 |
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Drawing a card from a deck this question sounds like a homework problem and if this is the case you may want to consider using the homework tag for this question. Also, when asking a question like this, its a good policy to outline your thoughts about the problem so that answerers can see where you got stuck and can thus provide better responses. |
