What is the reference angle for #(5pi)/6#?

2 Answers
Jul 25, 2018

#" "#
The reference angle : #color(blue)(pi/6#

Explanation:

#" "#
We are given the angle #color(red)(theta = (5pi)/6#

How do we find the reference angle?

The Reference Angle for the angle #color(red)((theta)# is the acute angle formed by the terminal side of #color(red)((theta)# and the x-axis,

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We can easily that the angle formed with the x-axis is #color(blue)(pi/6#

Hence, the reference angle : #color(blue)(pi/6#

Hope it helps.

Jul 26, 2018

#pi/6#

Explanation:

The reference angle is essentially the angle formed between the terminal side of an angle #theta#, and the #x#-axis.

NOTE: Reference angles are always acute.

We can find the reference angle with the "formula"

#pi-theta#, where #theta# is our given angle.

We can plug #(5pi)/6# into our expression to get

#pi-(5pi)/6=(6pi)/6-(5pi)/6=pi/6#

Thus, our reference angle is #pi/6#

Hope this helps!