So I have a precision 0,01 for power series $sin x$ and $cos x$. Using the formula $\sin(2x)=2\sin x \cos x$ I need to find the precision for this power series. I know that the answer is 0,04, double sum of the precisions, but i don't know how to explain it using Maclaurin/Taylor and power series.
2026-03-26 13:01:08.1774530068
Find a precision for power series $\sin (2x)$ using precision of sin x and cos x
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