# Graph y=-1+csc(x)

Graph y=-1+csc(x)
Find the asymptotes.
For any , vertical asymptotes occur at , where is an integer. Use the basic period for , , to find the vertical asymptotes for . Set the inside of the cosecant function, , for equal to to find where the vertical asymptote occurs for .
Set the inside of the cosecant function equal to .
The basic period for will occur at , where and are vertical asymptotes.
Find the period to find where the vertical asymptotes exist. Vertical asymptotes occur every half period.
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
The vertical asymptotes for occur at , , and every , where is an integer. This is half of the period.
There are only vertical asymptotes for secant and cosecant functions.
Vertical Asymptotes: for any integer
No Horizontal Asymptotes
No Oblique Asymptotes
Vertical Asymptotes: for any integer
No Horizontal Asymptotes
No Oblique Asymptotes
Rewrite the expression as .
Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.
Since the graph of the function does not have a maximum or minimum value, there can be no value for the amplitude.
Amplitude: None
Find the period of .
The period of the function can be calculated using .
Replace with in the formula for period.
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
Find the phase shift using the formula .
The phase shift of the function can be calculated from .
Phase Shift:
Replace the values of and in the equation for phase shift.
Phase Shift:
Divide by .
Phase Shift:
Phase Shift:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude: None
Period:
Phase Shift: ( to the right)
Vertical Shift:
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Vertical Asymptotes: for any integer
Amplitude: None
Period:
Phase Shift: ( to the right)
Vertical Shift:
Do you know how to Graph y=-1+csc(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.

### Name

Name two billion fifty-two million forty-two thousand three hundred ninety-four

### Interesting facts

• 2052042394 has 8 divisors, whose sum is 3078335520
• The reverse of 2052042394 is 4932402502
• Previous prime number is 13259

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 31
• Digital Root 4

### Name

Name one billion one hundred two million four hundred fourteen thousand four hundred fifty-two

### Interesting facts

• 1102414452 has 16 divisors, whose sum is 3307243392
• The reverse of 1102414452 is 2544142011
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 24
• Digital Root 6

### Name

Name four hundred forty-four million ninety-five thousand three hundred eighty-one

### Interesting facts

• 444095381 has 4 divisors, whose sum is 446924172
• The reverse of 444095381 is 183590444
• Previous prime number is 157

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 38
• Digital Root 2