Which trigonometric functions have asymptotes select all that apply?

Which trigonometric functions have asymptotes select all that apply?

tanx , cotx , secx , and cscx have vertical asymptotes.

Which functions have asymptotes?

y = + 1 is a horizontal asymptote. A polynomial function doesn’t have a horizontal asymptote. A rational function can have a horizontal asymptote if the degree of the numerator is less than the degree of the denominator. A function can have 0, 1, or 2 horizontal asymptotes.

Which trig functions have horizontal asymptotes?

Horizontal asymptotes: Since the exponential function has the x – axis as a horizontal asymptote, and the sine function is bounded between 1 and -1, this function will have the x-axis as a horizontal asymptote. We are used to seeing the sine have its max’s and min’s when the cosine is 0.

Why do some trigonometric functions have asymptotes?

Some functions have asymptotes because the denominator equals zero for a particular value of x or because the denominator increases faster than the numerator as x increases.

Do all trig functions have asymptotes?

Out of the six standard trig functions, four of them have vertical asymptotes: tan x, cot x, sec x, and csc x. In fact, each of these four functions have infinitely many of them!

What is the period of sin?

2π
The period of the sine function is ​2π​, which means that the value of the function is the same every 2π units.

What are the three types of asymptotes?

There are three kinds of asymptotes: horizontal, vertical and oblique.

Which types of functions have no asymptotes?

We’ve learned that the graphs of polynomials are smooth & continuous. They have no asymptotes of any kind. Rational algebraic functions (having numerator a polynomial & denominator another polynomial) can have asymptotes; vertical asymptotes come about from denominator factors that could be zero.

Do sine functions have asymptotes?

Sine and cosine functions do not have asymptotes.

Why do we get asymptotes?

An asymptote is a line that a graph approaches without touching. Similarly, horizontal asymptotes occur because y can come close to a value, but can never equal that value. Thus, f (x) = has a horizontal asymptote at y = 0. The graph of a function may have several vertical asymptotes.

Why does tan have asymptotes?

The asymptotes for the graph of the tangent function are vertical lines that occur regularly, each of them π, or 180 degrees, apart. This is because those points< every 180 degrees starting at 90, are where the cosine function is equal to 0. Conversely an has an identity: tanθ=y/x=sinθ/cosθ.

Does sin and cos have asymptotes?

It will have zeros where the sine function has zeros, and vertical asymptotes where the cosine function has zeros.