Question: Table of Taylor Approximations

I am tasked with making a table in Maple that gives the Taylor approximation of sin(x) from 0 degrees to 45 degrees accurate to four digits. The order selected is supposed to give an error from 0 to pi/4 less than 0.00005. I can't seem to create a table with a recurring task. Is there anyone that knows how to do this? Thank you!

 

 

Tristan 

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