For any function f(x), the y-intercept is just f(0).
Here we want to find the y-intercept of y = tan(x), we will get that it is y = 0.
To get this we can use that:
y = tan(x) = sin(x)/cos(x)
Evaluating this in zero we get:
tan(0) =sin(0)/cos(0) = 0/1 = 0
tan(0) = 0
Then the y-intercept of tan(x) is y = 0, as you can see in the graph below.
If you want to learn more, you can read.
https://brainly.com/question/1354826
