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

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 tangent - cosine relationship

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

Step2: Determine asymptote condition

A rational function $\frac{f(x)}{g(x)}$ 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 $\cos(x)=0$