Question

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

Answer 1

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`