How do you evaluate #cos 30#?

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Alan P. Share
Jan 10, 2017

Answer:

#cos(30^@)=sqrt(3)/2#

Explanation:

Consider an equilateral triangle (with interior angles of #60^@#) and sides of length #2# which has been bisected as in the image below:
enter image source here

By definition #cos="adjacent side"/"hypotenuse"#

So in this case
#color(white)("XXX")cos(30^@)=sqrt(3)/2#

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