You are reading about **which is an asymptote of the graph of the function y=tan(3/4x)**. Here are the best content from the team **C0 thuy son tnhp** synthesized and compiled from many sources, see more in the category **How To**.

**Outline**hide

### 3 Steps to Sketch – Graph y=tan(4x)

### Find the Asymptotes y=tan(3/4x) ^{[1]}

### Expert Maths Tutoring in the UK ^{[2]}

### Graph y=tan(-3/4x) ^{[3]}

### Find the Asymptotes y=tan(3x) ^{[4]}

### Graph the Asymptote of a Tangent Function ^{[5]}

An *asymptote* is a line that helps give direction to a graph of a trigonometry function

\n

The asymptotes for the graph of the tangent function are vertical lines that occur regularly, each of them π, or 180 degrees, apart. They separate each piece of the tangent curve, or each complete cycle from the next.

\n

The equations of the tangent’s asymptotes are all of the form

\n

\n

where *n* is an integer

*n*with various integers, you get lines such as

\n

\n

The reason that asymptotes always occur at these odd multiples of

\n

\n

is because those points are where the cosine function is equal to 0. As such, the domain of the tangent function includes all real numbers except the numbers that occur at these asymptotes.

\n

\n

\n

The preceding figure shows what the asymptotes look like when graphed alone.

\n

\n

\n

The first figure isn’t all that exciting, but it does show how many times the tangent function repeats its pattern

### 2-07 Asymptotes of Rational Functions ^{[6]}

### Expert Maths Tutoring in the UK ^{[7]}

### Graphs of the Other Trigonometric Functions ^{[8]}

### 6.2: Graphs of the Other Trigonometric Functions ^{[9]}

### Horizontal, Vertical Asymptotes and Solved Examples ^{[10]}

### Unit 11: The tangent function – National Curriculum (Vocational) Mathematics Level 3 ^{[11]}

### Graphs of the Other Trigonometric Functions – Algebra and Trigonometry OpenStax ^{[12]}

### Find the Equations of Vertical Asymptotes of Tangent, Cosecant, Secant, and Cotangent Functions ^{[13]}

### Sources

- https://www.mathway.com/popular-problems/Precalculus/981189
- https://www.cuemath.com/questions/which-is-an-asymptote-of-the-graph-of-the-function-y-tan3x4/
- https://www.mathway.com/popular-problems/Trigonometry/381572
- https://www.mathway.com/popular-problems/Trigonometry/320454#:~:text=Step%207-,The%20vertical%20asymptotes%20for%20y%3Dtan(3x)%20y,where%20n%20is%20an%20integer.
- https://www.dummies.com/article/academics-the-arts/math/trigonometry/graph-the-asymptote-of-a-tangent-function-186896/#:~:text=The%20asymptotes%20for%20the%20graph,complete%20cycle%20from%20the%20next.&text=is%20because%20those%20points%20are,function%20is%20equal%20to%200.
- https://www.andrews.edu/~rwright/Precalculus-RLW/Text/02-07.html#:~:text=Asymptotes%20are%20lines%20that%20the,would%20be%20dividing%20by%20zero.
- https://www.cuemath.com/questions/where-are-the-asymptotes-of-fx-tan2x-from-x-0-to-x/#:~:text=Summary%3A-,The%20asymptotes%20of%20f(x)%20%3D%20tan%20(2x),%2F4%2C%203%CF%80%2F4.
- https://courses.lumenlearning.com/precalculus/chapter/graphs-of-the-other-trigonometric-functions/
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_1e_(OpenStax)/06%3A_Periodic_Functions/6.02%3A_Graphs_of_the_Other_Trigonometric_Functions
- https://byjus.com/maths/asymptotes/
- http://ncvm3.books.nba.co.za/chapter/unit-11-the-tangent-function/
- https://pressbooks.nscc.ca/algebratrigonometryopenstax/chapter/graphs-of-the-other-trigonometric-functions/
- https://www.varsitytutors.com/precalculus-help/find-the-equations-of-vertical-asymptotes-of-tangent-cosecant-secant-and-cotangent-functions