What is the reference angle of -370 degrees or $(8pi)/3$ ?

Question

7316 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-04-27T17:20:10

$-370^o -= -10^o$
This angle is $10^o$ away from the x-axis
Therefore the reference angle is $10^o$

$(8pi)/3 -=(2pi + (2pi)/3)$
$-= (pi - pi/3)$
This angle is $pi/3$ away from the (negative) x-axis
Therefore the reference angle is $pi/3$

What is the reference angle of -370 degrees or (8pi)/3(8pi)/3?