In my Trig class we have begun working on graphing the trig functions and working with radians and I'm trying to wrap my head around them.
At the moment I'm having trouble understanding radian measures and how to find where certain points lie on the unit circle and how to know what quadrant they are in.
For example, we are to find the reference angle of $\frac{5\pi}{6}$. My book says it terminates in QII.
This may be a dumb question, but how does one figure this out? What am I missing? How do you know that $\frac{\pi}{2} < \frac{5\pi}{6} < \pi$?
Thanks in advance…
Best Answer
Think of the fractions without π: $\frac{1}{2}<\frac{5}{6}<1$ (or, alternately, since we're dealing with sixths, 5 sixths is between 3 sixths ($\frac{1}{2}$) and 6 sixths ($1$).