How do you sketch the angle $\frac{5 π}{4}$ $(5pi)/4$ and find its reference angle?

Question

20434 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-24T01:37:31

enter image source here
The reference angle is $45^{o}$ $45^o$

enter image source here

On the unit circle every $45^{o}$ $45^o$ is equal to $\frac{π}{4}$ $pi/4$
So $\frac{5 π}{4}$ $(5pi)/4$ is equal to $225^{o}$ $225^o$

enter image source here

However the reference angle is always taken from degree from the $x$ $x$ axis
This makes the reference angle $45^{o}$ $45^o$

enter image source here

How do you sketch the angle (5pi)/45π4(5pi)/4 and find its reference angle?