Question 826174
To do these you will be adding or subtracting {{{2pi}}} (or integer multiples of {{{2pi}}) until you get a number between 0 and {{{2pi}}}.<br>
Since the given angles are in fraction form, it will help to have {{{2pi}}} in fraction form, too, so the addition/subtraction is easier.
{{{2pi = 10pi/5 = 6pi/3 = 4pi/2 = 18pi/9}}}
Hint: When deciding if you have a number between 0 and {{{2pi}}}, compare it to the fraction version of {{{2pi}}} that you've been adding/subtracting.<br>
For {{{17pi/5}}}...
First we can see that {{{17pi/5}}} is more than {{{10pi/5}}} (aka {{{2pi}}}). So we need to start subtracting:
{{{17pi/5-10pi/5=7pi/5}}}
Now we have a number between 0 and {{{10pi/5}}}. So {{{7pi/5}}} is the co-terminal angle between 0 and {{{2pi}}}<br>
I'll leave the others for you to do. Just remember that you might have to add or subtract {{{2pi}}} multiple times before you get a number between 0 and {{{2pi}}}.<br>
P.S. Don't add or subtract at all if the number starts out between 0 and {{{2pi}}}!