Question 891769: Which angle corresponds to the point (1, 0) on the Unit Circle?
π
2π
π /2
non of these
3π /2
help me please
thank you
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website!  The angle is measured counterclockwise from the positive x-axis.
As the point (1,0) is on the positive x-axis, we could say that the angle is zero, but it could also be a whole counterclockwise turn around the circle.
Since the whole circumference measures  ,
a whole counterclockwise turn is an angle of  radians.
Maybe there is some convention, accepted by many, that says angles corresponding to a point are to be expressed as  with  .
If so, I do not know about it.
We could also say that the angle is 2 counterclockwise turns,  , or any number of clockwise or counterclockwise turns, like  or  .
None of those is a given choice.
 is an half turn and correspond to point (-1,0) at the left end of the circle.
 is  of a counterclockwise turn, and corresponds to point (0,1) at the top of the circle.
 is  of a counterclockwise turn, and corresponds to point (0,-1) at the bottom of the circle.
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