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Question: in the old trig tables that were used before calculators...

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In the old trig tables that were used before calculators came into widespread use, the tables only went from 0 degrees to 45 degrees and all of the trig values from sin to csc could be obtained from them. Use a Taylor polynomial to make a sin table from 0 to 45 degrees accurate to four digits, and print the results for every 5 degrees. Do this in MAPLE. Remember to change degrees to radians for your work. Start by finding the degree of a Taylor polynomial that approximates sin from 0 to Pi/4 with error less than .00005. You can use your calculator to check your results for accuracy, but make sure to show the necessary steps of the process.

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