Question: (a) What is the maximum error possible in using the approximation when 0.3 x 0.3? Use this approximation to find sin 12

(a) What is the maximum error possible in using the approximation 

 sin x = x - EX 3! + 5!

when –0.3 ≤ x ≤ 0.3? Use this approximation to find sin 12° correct to six decimal places. 

(b) For what values of x is this approximation accurate to within 0.00005?

sin x = x - EX 3! + 5!

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