How do you find the trigonometric functions of any angle?
Well, I guess you could use a special representation of the function through a sum of terms, also known as Taylor Series.
It is, basically, what happens in your pocket calculator when you evaluate, for example,
Your calculator does this:
In theory you should add infinite terms but, depending upon the accuracy required, you can normally stop at three terms.
In our case we have:
You can find the Taylor series for the other trigonometric functions such as:
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