Suppose you need to computer y - I - sing for I small . There is going to be a significant cancelation of digits if the computation is performed

Numerican Analysis: 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 = .05? Propose an alternative way to compute y with nearly full machine precision.

Suppose you need to computer y - I - sing for I small . There is going to be asignificant cancelation of digits if the computation is performed directly . How manydigits are lost in double precision when I - 605 ? Propose an alternative way tocomputery with nearly full machine precision