# Who knew?

Calculus Level 3

True or False?

Let $$S_n$$ and $$C_n$$ denote $$n^\text{th}$$ derivative of the functions $$\sin x$$ and $$\cos x$$, respectively, at $$x= \pi$$, then $$S_n \times C_n= 0$$ holds true for all positive integers $$n$$.

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