2005 AIME II Problems/Problem 9

Revision as of 22:26, 8 July 2006 by Joml88 (talk | contribs) (Problem)

Problem

For how many positive integers $n$ less than or equal to 1000 is $(\sin t + i \cos t)^n = \sin nt + i \cos nt$ true for all real $t$?

Solution

See Also

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