Respuesta :

The domain of y = cos θ is all real numbers. This is because any real number can be plugged in for θ and y will be equal to a real number. This can be shown graphically because the y = cos θ will go on infinitely both to the right and left.

Answer:

Option C - All real numbers                                      

Step-by-step explanation:

Given : Function [tex]y=\cos \theta[/tex]

To find : The domain of given function ?

Solution :

Domain is defined as the set of values for which function is defined.

We have given the function,

[tex]y=\cos \theta[/tex]

We know, for any value of [tex]\theta[/tex] the function  [tex]y=\cos \theta[/tex] is defined.

Which means the set of all real numbers defined the given function i.e. [tex]x\in(-\infty,\infty)[/tex]

Therefore, Option C is correct.

The domain of  [tex]y=\cos \theta[/tex] is all real numbers.