How do you find the exact value of cos 33pi/4?

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Alan P. Share
Dec 7, 2015

Answer:

#cos((33pi)/4) = sqrt(2)/2#

Explanation:

#(33pi)/4# is equivalent to #(32pi)/4 + pi/4 = 2*(2pi)+pi/4 = pi/4color(white)("XX")#(since #2pi = 0#, a complete circle)

#cos(pi/4) = 1/sqrt(2) = sqrt(2)/2color(white)("XXX")#(this is one of the standard angles)
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