The domain and the range are 0 ≤ ∅ ≤ 2π and -1 ≤ cos(∅) ≤ 1, respectively.
The domain and the range
The domain is the set of input values i.e. the ∅ values.
On the table, we can see that the ∅ value is from 0 to 2π.
This means that the domain is 0 ≤ ∅ ≤ 2π
On the other hand, the range is the set of output values i.e. the cos(∅) values.
On the table, we can see that the cos(∅) value is from -1 to 1.
This means that the range is -1 ≤ cos(∅) ≤ 1
Hence, the domain and the range are 0 ≤ ∅ ≤ 2π and -1 ≤ cos(∅) ≤ 1, respectively.
The points on a graph
See attachment 1
The graph of the function
See attachment 2
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