How do you determine the quadrant in which #(7pi)/5# lies?
Quadrants are broken up into regions of
I'm referring to quadrants as q1, q2, q3, and q4 for brevity:
if traveling around a unit circle is
q1 would range from 0 to
q2 would range from
q3 would range from
q4 would range from
to make these comparable to the desired angle, both the value of
we know that 14/10 is greater than 1, so we can eliminate q1 and q2 from the possible answers. This leaves us with q3 and q4:
Since 14 is less than 15, we can conclude that it is the third quadrant.