Question: Let s(x) and c(x) be two functions satisfying s'(x) = c(x) and c'(x) = -s(x) for all x. If s(0) = 0 and c(0) =

Let s(x) and c(x) be two functions satisfying s'(x) = c(x) and c'(x) = -s(x) for all x. If s(0) = 0 and c(0) = 1, prove that [s(x)]2+ [c(x)]² = 1.

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