Hopefully this can help you as it has helped me.
Let's cut the circle in half and recapitulate:
Alright, so, we already know that the denominators go like this:
6, 4, 3, 2, 3, 4, 6. We also know that the numerators starting from the positive x-axis all the way to the 90° angle are always π. If you too have problems remembering what numerators come after the 90° angle, I think I have come up with a trick. I'll try my best to explain.
Hopefully you've noticed the pattern too.
Every time my teacher asks me to find the radians in the 2nd quadrant (as shown) counter-clockwise, I just say to myself: "2,3,3,4,5,6" and fill in the blanks.
But that's not all!
The pattern goes even further!
We've just added 7,6,5,4,4,3,3,2.
I find this long pattern easier to remember than the 17 radians, haha!
Notice that if we split this pattern like this:
2,3,3,4,5,6 (7) and
they're almost, what I like to call, "inversely-identical," except for the extra four.
Now, for the fourth quadrant, I have a different approach.
Actually, I've come up with a "temporary" formula to help you learn those tricky numbers:
n = 2d - 1
This formula will automatically give you the coefficient of π!
Hopefully this will clear up your B17 problems. It sure did for me! :)
And if you still don't understand, or want to know another trick, here it is!