Question: Suppose you need to compute y = x - sin x for x small. There is going to be a significant cancelation of digits if

Suppose you need to compute y = x - sin x

Suppose you need to compute y = x - sin x for x small. There is going to be a significant cancelation of digits if the computation is performed directly. How many digits are lost in double precision when x = 0.05? Propose an alternative way to compute y with nearly full machine precision

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