Answer:
[tex]\theta = 355[/tex]
Step-by-step explanation:
Given
Let the angle be [tex]\theta[/tex]
[tex]\theta < 360[/tex]
[tex]\theta[/tex] is co-terminal with -5
Required
Find [tex]\theta[/tex]
Start by dividing 5 by 360 (ignore the negative)
[tex]\frac{5}{360} = 0.0138[/tex]
The nearest integer greater than 0.0138 is 1.
This implies that if you were to draw for this problem, the circle you would draw to show -5 degrees would go around 1 time
So, [tex]\theta[/tex] is calculated as:
[tex]\theta = -5 + 1*360[/tex]
[tex]\theta = -5 +360[/tex]
[tex]\theta = 355[/tex]
