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Use the Lagrange interpolating polynomial of degree three or less and four-digit chopping arithmetic to approximate cos 0:75 using the following values. Find an error bound for the approximation.

cos 0:698 = 0:7661; cos 0:733 = 0:7432; cos 0:768 = 0:7193; and cos 0:803 = 0:6946:

 

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