What is the domain of y = cos θ? a. [-1, 1] b. [0, infinity] c. all real numbers d. 2pi,

Option C - All real numbers                                      

Step-by-step explanation:

Given : Function

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,

We know, for any value of the function   is defined.

Which means the set of all real numbers defined the given function i.e.

Therefore, Option C is correct.

The domain of   is all real numbers.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.