what is the y - intercept of y = tan x? select the correct choice below and, if necessary, fill in the…

what is the y - intercept of y = tan x? select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the y - intercept is. (type an exact answer, using radicals as needed.) b. there is no y - intercept.
Answer
Answer:
A. The y - intercept is 0.
Explanation:
Step1: Recall y - intercept definition
The y - intercept of a function (y = f(x)) is found by setting (x = 0).
Step2: Evaluate (\tan(x)) at (x = 0)
We know that (\tan(x)=\frac{\sin(x)}{\cos(x)}). When (x = 0), (\sin(0)=0) and (\cos(0) = 1). So (\tan(0)=\frac{\sin(0)}{\cos(0)}=\frac{0}{1}=0).