Carrotsticks
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For (i), the clue I see is the 4pi/7, and then z^k. When I see z^k we are obviously increasing a complex number to some power.i. Find the least positive integer k such that cos(4pi/7) + isin(4pi/7) is a solution of z^k = 1
ii. Show that if the complex number w is a solution of z^n = 1, then so is w^m, where m and n are arbitrary integers
wtf i'm trying to look for clues to help me but all i see are confusing letters everywhere
Think, we should have cis(???) for it to be equal to 1.
In other words, what should I raise cis(4pi/7) to, before it is equal to 1?