SOLUTION: what is the radian measure of the smallest positive angle that is co terminal with angle having the given measure. please help me 1.) 7pi/2 2.) -7pi/3

Question 860585: what is the radian measure of the smallest positive angle that is co terminal with angle having the given measure. please help me
1.) 7pi/2
2.) -7pi/3
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

You know that
is a full circle and brings you back
to the zero angle
------------------
Knowing also that

This becomes

So, is the smallest positive
angle that is co-terminal with

=============================

You had to go in a negative ( CW ) direction
to get this angle. You know that:

Is a fill circle. You just went in a negative
direction to get there.
---------------------------
Likewise,

This becomes

----------------------------
Now you just have to convert this to a positive
angle. If you went and then backed up
that would be the same angle, so
I can say:

So, no I can say:

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