## Related questions with answers

Question

Find four values for which each function is undefined.

$f(\theta)=\tan \theta$

Solution

VerifiedStep 1

1 of 2The values that makes the function undefined is the values of the asymptotes. So for the given function:

$f(\theta) = \tan \theta$

Because $b = 1$, the function will be undefined at:

$\theta = \frac{\pi}{2|b|} + \frac{n\pi}{|b|} = \frac{\pi}{2} + n\pi$

Then, the first for values will be at $n = 1,\ n = 2,\ n = 3$ and $n = 4$, which are:

$\theta = \frac{\pi}{2}\ ,\ \ \theta = \frac{3\pi}{2}\ ,\ \ \theta = \frac{5\pi}{2} ,\ \ \text{and}\ \ \ \theta = \frac{7\pi}{2}$

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