where does the graph of the function $y = \\tan(x)$ have asymptotes?\n at the values of $x$ where…

where does the graph of the function $y = \\tan(x)$ have asymptotes?\n at the values of $x$ where $\\cos(x)=0$\n at the values of $x$ where $\\sin(x)=0$\n at the values of $x$ where $\\cos(x)$ is undefined\n at the values of $x$ where $\\sin(x)$ is undefined

where does the graph of the function $y = \\tan(x)$ have asymptotes?\n at the values of $x$ where $\\cos(x)=0$\n at the values of $x$ where $\\sin(x)=0$\n at the values of $x$ where $\\cos(x)$ is undefined\n at the values of $x$ where $\\sin(x)$ is undefined

Answer

Answer:

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

Explanation:

Step1: Recall tangent - cosine relation

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

Step2: Identify asymptote condition

A rational function $y = \frac{f(x)}{g(x)}$ has asymptotes where $g(x)=0$.

Step3: Determine asymptotes of tangent

For $y=\tan(x)=\frac{\sin(x)}{\cos(x)}$, asymptotes occur when $\cos(x) = 0$.