MathDB
Working with i

Source:

November 13, 2005
trigonometryfloor functionmodular arithmeticcomplex numbers

Problem Statement

For how many positive integers nn less than or equal to 10001000 is (sin⁡t+icos⁡t)n=sin⁡nt+icos⁡nt(\sin t + i \cos t)^n=\sin nt + i \cos nt true for all real tt?
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