Answer:
[tex]\alpha' = 81^{\circ}[/tex]
Step-by-step explanation:
Angle is periodical function, so that following condition is satisfied:
[tex]\alpha = n \cdot 360^{\circ}[/tex]
[tex]n = \frac{801^{\circ}}{360^{\circ}}[/tex]
[tex]n = 2.225[/tex]
The position of the coterminal angle is:
[tex]n' = 2.225 - 2[/tex]
[tex]n' = 0.225[/tex]
[tex]\alpha' = n' \cdot 360^{\circ}[/tex]
[tex]\alpha' = (0.225)\cdot (360^{\circ})[/tex]
[tex]\alpha' = 81^{\circ}[/tex]
