Question

When adding 2pi to get a positive coterminal angle, is it only added to the numerator... eg. pi/6 + 2pi = 2pi/6?

Answer 1

I believe it would be pi/6 + 2pi/1 so lcd would be 6. which then becomes
pi/6 +12pi/6= 13pi/6

Answer 2

\[
\frac{\pi}{6} + 2\pi = \pi\left(\frac 16 + 2\right)=
\pi\left(\frac 16 + \frac{12}{6} \right) = \pi\frac{13}{6} = \frac{13}{6} \pi
\]