Question

Evaluate exactly all six trigonometric functions of the angle. Use reference triangles and not your calculator.

420°420°

Solution

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420°420\text{\textdegree} is coterminal angles with 420°360°=60°420\text{\textdegree}-360\text{\textdegree}=60\text{\textdegree} which lies in QI. This means that sin420°=sin60°\sin 420\text{\textdegree}=\sin 60\text{\textdegree}, cos420°=cos60°\cos 420\text{\textdegree}=\cos 60\text{\textdegree}, and so on. The reference triangle is:

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