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How do you evaluate tan (2Pi/3) + tan (Pi/4)?

1 Answer

May 16, 2016

#tan((2pi)/3)+tan(pi/4)=color(blue)(1-sqrt(3))#

Explanation:

The angles #(2pi)/3# and #pi/4# are two of the "standard angles" for which you should be familiar with their ratios. (See images below).

#tan((2pi)/3)=sqrt(3)/(-1)=-sqrt(3)#

#tan(pi/4)=1/1=1#

#tan((2p)/3)+tan(pi/4) = -sqrt(3)+1 = 1-sqrt(3)#

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