# How do you find the exact value of cos 5pi/3?

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Jim G.
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Apr 30, 2016

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The angle

#(5pi)/3" is located in the 4th quadrant "# where the cos ratio has a positive value.

The 'related' acute angle is

#(2pi - (5pi)/3) = pi/3 # and so

# cos((5pi)/3) = cos(pi/3) # Using the

#color(blue)" Exact value triangle for this angle" #

#rArr cos((5pi)/3)=cos(pi/3)=1/2#

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