Trigonometric Functions of Any Angle
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Key Questions

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,#sin(30Â°)# .
Your calculator does this:
#sin(theta)=thetatheta^3/(3!)+theta^5/(5!)...#
where#theta# must be in RADIANS.
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:#theta=pi/6=3.14/6=0.523# and:
#sin(pi/6)=sin(0.523)=0.5230.024+3.26*10^(4)...=0.499approx0.5# You can find the Taylor series for the other trigonometric functions such as:
(Picture source: www.efunda.com) 
Answer:
As below:
Explanation:
Ordered pairs on an unit circle
Exact values of the ordered pairs of the unit circle is represented in pictorial form above in degrees and radians.
Hope this helps.

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