How do you find the complement and supplement of #(11pi)/12#?

1 Answer
Y
May 7, 2017

Complement does not exist, supplement is #pi/12#

Explanation:

Complementary angles are two angles each less than #90^@# that when added together is #90^@# or #pi/2#.
Supplementary angles are two angles each less than #180^@# that when added together is #180^@# or #pi#.

Since, we can see that #(11pi)/12# is clearly greater than #pi/2#, it does not have a complementary angle.

When we find the supplement we do:
#pi-(11pi)/12=pi/12#
Therefore, the supplement of #(11pi)/12# is #pi/12#

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