Answer:
see attached
Explanation:
You want the first three terms of sin(x) and cos(x) evaluated for a variety of values of x.
Series
The terms of the series expansion of these trig functions are fairly easily evaluated using a spreadsheet. You write the formula once, then let the spreadsheet evaluate it for the different values of x.
The function PI() is used to obtain the value of π, and the function FACT(3) is used to obtain the value of 3!, for example.
The filled table values (shown to 6 dp) are found in the attachment.
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Additional comment
Some calculators can operate on lists, so can do this fairly nicely, too. Filling 42 (or so) table entries by hand calculation would be tedious and error-prone. If you're going to try that, you may want to write the expressions in Horner form, for example, ((x^2/(5*4) -1)x^2/(3*2) +1)x. The second attachment shows the evaluation of this for x=π/4.
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