# How do you determine the quadrant in which #(7pi)/5# lies?

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#### Explanation

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Quadrants are broken up into regions of

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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

angle:

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:

q3:

q4:

Since 14 is less than 15, we can conclude that it is the third quadrant.

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