Try the fastest way to create flashcards
Question

# Find four values for which each function is undefined. $f(\theta)=\tan \theta$

Solution

Verified
Step 1
1 of 2

The 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:

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

## Recommended textbook solutions

#### enVision Algebra 2

1st EditionISBN: 9780328931590 (1 more)Al Cuoco
3,573 solutions

1st EditionISBN: 9780547867663Holt McDougal
2,559 solutions

#### Big Ideas Math Algebra 2: A Common Core Curriculum

1st EditionISBN: 9781608408405 (3 more)Boswell, Larson
5,067 solutions

#### Big Ideas Math: Algebra 2 A Common Core Curriculum

1st EditionISBN: 9781642088052Laurie Boswell, Ron Larson
5,067 solutions