Evaluate \sin 60\degree and \sin 30\degree

Anonymous
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Step 1: Draw a special right triangle with a 60° angle.
NOTE: A special right triangle 30\degree-60\degree-90\degree.
It's sides are 1, 2 and \sqrt{3}
Step 2: Calculate \sin60\degree
NOTE: The length of the opposite side is \sqrt{3}
length of the hypotenuse is 1
\sin60\degree=\frac{opp}{hyp}=\frac{\sqrt{3}}{2}
and
Step 3: Calculate \sin\ 30\degree
The length of the opposite side is 1
length of the hypotenuse is 2
\sin30\degree=\ \frac{opp}{hyp}
\sin30\degree=\frac{1}{2}