Question 884444
If you rotate the unit vector CCW twice around
starting at 0 degrees, you have rotated
720 degrees in the positive direction
and are back where you started.
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Now if you back off ( CW direction ) by
60 degrees you are at 660 degrees.
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the csc of 660  degrees ( 4th quadrant ) 
is {{{ -2/sqrt(3) }}}
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With calculator:
{{{ -2/sqrt(3) = -1.1547 }}}