Explanation
The complement of π/6 is the angle that when added to π/6 forms a right angle (π/2 radians).
Therefore,
[tex]\frac{\pi}{2}-\frac{\pi}{6}=\frac{3\pi-\pi}{6}=\frac{2\pi}{6}=\frac{\pi}{3}[/tex]
Answer: The complement is
[tex]\frac{\pi}{3}[/tex]
The supplement of π/6 is the angle that when added to π/6 forms a straight angle (π radians).
Therefore,
[tex]\pi-\frac{\pi}{6}=\frac{6\pi-\pi}{6}=\frac{5\pi}{6}[/tex]
Answer:
[tex]\frac{5\pi}{6}[/tex]
