For any , verticalasymptotes occur at , where is an integer. Use the basic period for , , to find the verticalasymptotes for . Set the inside of the cosecantfunction, , for equal to to find where the verticalasymptote occurs for .
Subtract from both sides of the equation.
Set the inside of the cosecantfunction equal to .
Move all terms not containing to the right side of the equation.
Tap for more steps...
Subtract from both sides of the equation.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps...
Multiply by .
Subtract from .
The basic period for will occur at , where and are verticalasymptotes.
Find the period to find where the verticalasymptotes exist. Verticalasymptotes occur every half period.
Tap for more steps...
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
The verticalasymptotes for occur at , , and every , where is an integer. This is half of the period.
Cosecant only has verticalasymptotes.
No HorizontalAsymptotes
No Oblique Asymptotes
VerticalAsymptotes: where is an integer
No HorizontalAsymptotes
No Oblique Asymptotes
VerticalAsymptotes: where is an integer
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 .
Tap for more steps...
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 .
Tap for more steps...
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 left)
Vertical Shift:
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
VerticalAsymptotes: where is an integer
Amplitude: None
Period:
Phase Shift: ( to the left)
Vertical Shift:
Do you know how to Graph y=csc(x+(4pi)/5)? 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.