SOLUTION: Could you please help me with this problem? I am just starting in Trig and having some difficulties. Find the complement and supplement and two co-terminal angles to pi/6 radian

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Question 289035: Could you please help me with this problem? I am just starting in Trig and having some difficulties.
Find the complement and supplement and two co-terminal angles to pi/6 radians.
Thank you very much!

Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
Could you please help me with this problem? I am just starting in Trig and having some difficulties.
Find the complement and supplement and two co-terminal angles to pi/6 radians.
Thank you very much!
Two angles are complementary if their sum is 90 degrees or equivalently pi/2 radians.
Two angles are supplementary if their sum is 180 degrees or equivalently pi radians.

Let x be the complement of the angle pi/6. Then we have:
x + pi/6 = pi/2
x = pi/2 - pi/6
x = 3pi/6 - pi/6
x = 2pi/6
x = pi/3
Let y be the supplement of the angle pi/6. Then we have:
x + pi/6 = pi
x = pi - pi/6
x = 6pi/6 - pi/6
x = 5pi/6