Question

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

Answer 1

`" "`
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,

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.

Answer 2

`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!