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Anonymous
2016-04-04 02:17:07 Post No. 7977245
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Anonymous
2016-04-04 02:17:07
Post No. 7977245
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How would you solve this equation system with trigonometric functions? (If it even have a solution).
$x*(cos(\theta) - 1) + y*(sin(\theta)) = 0 $
$x*(-sin(\theta)) + y*(cos(\theta) - 1) = 0 $
I'm getting the eigenvectors for a rotation matrix. Since I'm such a dumbass with trigonometric functions, it was for me a full challenge to get to the eigenvalues, but I did it with the help of 4chan/sci.
Now I'm stuck again finding the eigenvectors for the corresponding eigenvalues. The equation in the image correspond to an eigenvalue 1 (I get to the equation following some videos in YT on how to find the eigenvectors).
If it's not trouble and someone could at least give me some tip, clue, a trigonometric identity, tell me if I'm missing something obvious or tell me some of that magical things mathematicians do with trigonometric functions.
Thanks in advance.