Answer:
option C is correct, i.e. y = sec(x).
Explanation:
Given is a graph of a trigonometric function.
We have four choices to select from:-
A. y = cot(x)
B. y = tan(x)
C. y = sec(x)
D. y = csc(x)
We can check the y-intercept from the graph that is (0, 1).
Substituting x=0 in each option as follows:-
A. y = cot(0) = ∞.
B. y = tan(0) = 0.
C. y = sec(0) = 1.
D. y = csc(0) = ∞.
Hence, option C is correct, i.e. y = sec(x).