SOLUTION: Find an angle, in radian measure, between 0 and 2pi that is coterminal with the given angles. a) 17pi/5 b) -13pi/3 c) 53pi/2 d) 17pi/9

Question 826174: Find an angle, in radian measure, between 0 and 2pi that is coterminal with the given angles.
a) 17pi/5
b) -13pi/3
c) 53pi/2
d) 17pi/9

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
To do these you will be adding or subtracting (or integer multiples of .

Since the given angles are in fraction form, it will help to have in fraction form, too, so the addition/subtraction is easier.

Hint: When deciding if you have a number between 0 and , compare it to the fraction version of that you've been adding/subtracting.

For ...
First we can see that is more than (aka ). So we need to start subtracting:

Now we have a number between 0 and . So is the co-terminal angle between 0 and

I'll leave the others for you to do. Just remember that you might have to add or subtract multiple times before you get a number between 0 and .

P.S. Don't add or subtract at all if the number starts out between 0 and !
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