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> | + | Find the number of solutions, in degrees, to the equation <math>\sin^{10}x + \cos^{10}x = \frac{29}{16}\cos^4 2x,</math> where <math>0^\circ \le x^\circ \le 2007^\circ.</math> |
==Solution== | ==Solution== | ||
{{solution}} | {{solution}} | ||
| Line 6: | Line 6: | ||
---- | ---- | ||
| − | *[[Mock AIME 2 2006-2007/Problem 9 | Previous Problem]] | + | *[[Mock AIME 2 2006-2007 Problems/Problem 9 | Previous Problem]] |
| − | *[[Mock AIME 2 2006-2007/Problem 11 | Next Problem]] | + | *[[Mock AIME 2 2006-2007 Problems/Problem 11 | Next Problem]] |
*[[Mock AIME 2 2006-2007]] | *[[Mock AIME 2 2006-2007]] | ||
Revision as of 14:33, 3 April 2012
Problem
Find the number of solutions, in degrees, to the equation 
where 
Solution
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