How do you find the reference angle for $(- 5 π$ $(-5pi$ /6#?

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Answer 1 · 2015-04-22T20:40:25

http://www.mathopenref.com/reference-angle.html
Definition: The smallest angle that the terminal side of a given angle makes with the x-axis.

Assuming a base side for the angle along the X-axis, the reference angle is the smallest acute angle as measured from the X-axis

$(- \frac{5 π}{6})$ $(- (5pi)/6)$ is $(- \frac{π}{6})$ $(-pi/6)$ short of being a straight line

So the reference angle for $(- \frac{5 π}{6})$ $(- (5pi)/6)$ is
$\frac{π}{6}$ $pi/6$

How do you find the reference angle for (-5pi(−5π(-5pi/6#?