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

Explanation:

Step1: Recall the definition of tangent function

The tangent function is defined as $\tan(x)=\frac{\sin(x)}{\cos(x)}$.

Step2: Identify when asymptotes occur

Asymptotes occur when the function is undefined. A rational - function $\frac{a(x)}{b(x)}$ is undefined when the denominator $b(x) = 0$. For $y = \tan(x)=\frac{\sin(x)}{\cos(x)}$, it is undefined when $\cos(x)=0$.

Answer:

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