SOLUTION: If ( sin(theta),cos(theta)) and (3,2) lies on the same side of the line x+y=1 then theta lies between

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Question 1001939: If ( sin(theta),cos(theta)) and (3,2) lies on the same side of
the line x+y=1 then theta lies between
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

All points of the form 

%28matrix%281%2C3%2C+sin%28theta%29%5E%22%22%2C%22%2C%22%2Ccos%28theta%29%29%29

lie on the unit circle.  The ones on the same side of the line
x+y=1 as (3,2) are on the red part of the unit circle pictured
above, not on the green part.     

All the points on the red part have non-negative x and y coordinates
all between 0 and 1, inclusively.  So theta is a first quadrant
angle or 2pi%2An%3C=theta%3C=pi%2F2%2B2pi%2An, for any integer n.

Edwin