Graph -cot(x)

$- \cot (x)$

Find the asymptotes.

Tap for more steps...

For any $y = \cot (x)$ , vertical asymptotes occur at $x = n π$ , where $n$ is an integer. Use the basic period for $y = \cot (x)$ , $(0, π)$ , to find the vertical asymptotes for $y = - \cot (x)$ . Set the inside of the cotangent function, $b x + c$ , for $y = a \cot (b x + c) + d$ equal to $0$ to find where the vertical asymptote occurs for $y = - \cot (x)$ .

$x = 0$

Set the inside of the cotangent function $x$ equal to $π$ .

$x = π$

The basic period for $y = - \cot (x)$ will occur at $(0, π)$ , where $0$ and $π$ are vertical asymptotes.

$(0, π)$

Find the period $\frac{π}{| b |}$ to find where the vertical asymptotes exist.

Tap for more steps...

The absolute value is the distance between a number and zero. The distance between $0$ and $1$ is $1$ .

$\frac{π}{1}$

Divide $π$ by $1$ .

$π$

The vertical asymptotes for $y = - \cot (x)$ occur at $0$ , $π$ , and every $π n$ , where $n$ is an integer.

$π n$

There are only vertical asymptotes for tangent and cotangent functions.

Vertical Asymptotes: $x = π n$ for any integer $n$

No Horizontal Asymptotes

No Oblique Asymptotes

Vertical Asymptotes: $x = π n$ for any integer $n$

No Horizontal Asymptotes

No Oblique Asymptotes

Use the form $a \cot (b x - c) + d$ to find the variables used to find the amplitude, period, phase shift, and vertical shift.

$a = - 1$

$b = 1$

$c = 0$

$d = 0$

Since the graph of the function $c o t$ does not have a maximum or minimum value, there can be no value for the amplitude.

Amplitude: None

Find the period of $- \cot (x)$ .

Tap for more steps...

The period of the function can be calculated using $\frac{π}{| b |}$ .

$\frac{π}{| b |}$

Replace $b$ with $1$ in the formula for period.

$\frac{π}{| 1 |}$

The absolute value is the distance between a number and zero. The distance between $0$ and $1$ is $1$ .

$\frac{π}{1}$

Divide $π$ by $1$ .

$π$

Find the phase shift using the formula $\frac{c}{b}$ .

Tap for more steps...

The phase shift of the function can be calculated from $\frac{c}{b}$ .

Phase Shift: $\frac{c}{b}$

Replace the values of $c$ and $b$ in the equation for phase shift.

Phase Shift: $\frac{0}{1}$

Divide $0$ by $1$ .

Phase Shift: $0$

Find the vertical shift $d$ .

Vertical Shift: $0$

List the properties of the trigonometric function.

Amplitude: None

Period: $π$

Phase Shift: $0$ ( $0$ to the right)

Vertical Shift: $0$

The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.

Vertical Asymptotes: $x = π n$ for any integer $n$

Amplitude: None

Period: $π$

Phase Shift: $0$ ( $0$ to the right)

Vertical Shift: $0$

Do you know how to Graph -cot(x)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Find the Inverse csc(1.3332)

Find the Value Using the Unit Circle sin((17pi)/6)

Graph y=4csc(4x)

Solve for x 28=3s+3k

Find the Reference Angle (16pi)/5