Think about the problem, to know cosx + SiNx = 1, find the nth power of (cosx) + (SiNx)=

Because cosx + SiNx = 1, so the square of (cosx + SiNx) is 1, and because the square of (cosx) + (SiNx) is 1, so sinxcosx = 0. So, SiNx = 0 or cosx = 0. When SiNx = 0, cosx = 1, then the nth power of (cosx) + (SiNx) is 1. When cosx = 0, SiNx = 1, then the nth power of (cosx) is 1

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