where does the graph of the function (y = \tan(x)) have asymptotes?\no at the values of (x) where…

where does the graph of the function (y = \tan(x)) have asymptotes?\no at the values of (x) where (cos(x)=0)\no at the values of (x) where (sin(x)=0)\no at the values of (x) where (cos(x)) is undefined\no at the values of (x) where (sin(x)) is undefined

where does the graph of the function (y = \tan(x)) have asymptotes?\no at the values of (x) where (cos(x)=0)\no at the values of (x) where (sin(x)=0)\no at the values of (x) where (cos(x)) is undefined\no at the values of (x) where (sin(x)) is undefined

Answer

Explanation:

Step1: Recall the definition of tangent function

We know that $\tan(x)=\frac{\sin(x)}{\cos(x)}$.

Step2: Determine the asymptote condition

A rational - function $y = \frac{f(x)}{g(x)}$ has asymptotes where $g(x)=0$. For $y = \tan(x)=\frac{\sin(x)}{\cos(x)}$, it has asymptotes when $\cos(x)=0$.

Answer:

at the values of x where $\cos(x)=0$