Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 10"
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== Problem == | == Problem == | ||
Find the number of solutions, in degrees, to the equation <math>\displaystyle \sin^{10}x + \cos^{10}x = \frac{29}{16}\cos^4 2x,</math> where <math>\displaystyle 0^\circ \le x^\circ \le 2007^\circ.</math> | Find the number of solutions, in degrees, to the equation <math>\displaystyle \sin^{10}x + \cos^{10}x = \frac{29}{16}\cos^4 2x,</math> where <math>\displaystyle 0^\circ \le x^\circ \le 2007^\circ.</math> | ||
| + | ==Solution== | ||
| + | {{solution}} | ||
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| + | ---- | ||
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| + | *[[Mock AIME 2 2006-2007/Problem 9 | Previous Problem]] | ||
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| + | *[[Mock AIME 2 2006-2007/Problem 11 | Next Problem]] | ||
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| + | *[[Mock AIME 2 2006-2007]] | ||
Revision as of 18:48, 22 August 2006
Problem
Find the number of solutions, in degrees, to the equation 
where 
Solution
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