Respuesta :
The option (c) 40 + 360n, for any integer, n is correct for the given angle.
It is given that the options given below represent the measures of all angles coterminal with a 400° angle.
It is required to find the correct option given below:
a) 360 + 40n, for any integer, n
b) 360 + 40n, for any whole number, n
c) 40 + 360n, for any integer, n
d) 40 + 360n, for any whole number, n
What are coterminal angles?
For the given terminal angle the coterminal angles are defined as the different angle measures with the same terminal side and vertex side.
The given angle = 400°
If we subtract 360° from it, we will get:
= 400-360 = 40°
If we add 360° to a given angle: we get:
=400+360 = 760°
Here option (c) is correct because if we put n=0,1,2...., we get:
=40° (if n = 0)
= 400° (if n= 1)
=760 (if n=2)
Thus, option (c) 40 + 360n, for any integer, n is correct for the given angle.
Learn more about the coterminal angle here:
https://brainly.com/question/21384986
