Question: . Write down the degree 5 Taylor polynomial for sin ac, expanded about as : 0. Find an approximation for sin(O.5). Use the remainder term

. Write down the degree 5 Taylor polynomial for sin ac, expanded about as : 0. Find an approximation for sin(O.5). Use the remainder term R5(:L') to show that this approx- imation is accurate to 4 decimal places. Show all working and explain your reasoning carefully
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