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

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Jim G. Share
Apr 30, 2016

Answer:

#1/2#

Explanation:

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

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