How do you graph y Cscx?
- Sketch the graph of y = sin x from –4π to 4π, as shown in this figure. A sketch of the sine function.
- Draw the vertical asymptotes through the x-intercepts, as the following figure shows.
- Draw y = csc x between the asymptotes and down to (and up to) the sine curve, as shown in the following figure.
How many zeros does y = f (x) = csc (x)?
Note that y = f (x) = csc(x) is the base function. Note that the function y = f (x) = sin(x) has zeros at x = kπ, where k is an integer. The function y = f (x) = csc(x) has No zeros.
What is the basic period for Y = csc (x)?
The basic period for y = csc ( x) y = csc ( x) will occur at ( 0, 2 π) ( 0, 2 π), where 0 0 and 2 π 2 π are vertical asymptotes. Find the period 2 π | b | 2 π | b | to find where the vertical asymptotes exist.
How do you find the amplitude of csc x?
The function y = f (x) = csc(x) has No zeros. For both the functions sin(x) and csc(x), Period = 2π. Graph of the function csc(x) does not have a maximum or a minimum value, there is No amplitude. If values of sin(x) is available, one can figure out point by point what the values of csc(x) are.
How to find the vertical asymptotes of Y = csc x?
Set the inside of the cosecant function x x equal to 2 π 2 π. The basic period for y = csc ( x) y = csc ( x) will occur at ( 0, 2 π) ( 0, 2 π), where 0 0 and 2 π 2 π are vertical asymptotes. Find the period 2 π | b | 2 π | b | to find where the vertical asymptotes exist. Vertical asymptotes occur every half period. Tap for more steps...
How do you graph a csc equation?
To graph y = csc x, follow these steps:Sketch the graph of y = sin x from –4π to 4π, as shown in this figure. ... Draw the vertical asymptotes through the x-intercepts, as the following figure shows. ... Draw y = csc x between the asymptotes and down to (and up to) the sine curve, as shown in the following figure.Mar 26, 2016
Is Y Cscx a function?
The graph of the cosecant function looks like this: The domain of the function y=csc(x)=1sin(x) is all real numbers except the values where sin(x) is equal to 0 , that is, the values πn for all integers n . The range of the function is y≤−1 or y≥1 .
How do you graph a csc transformation?
1:115:42Example: Graphing a Transformation of Cosecant Function - YouTubeYouTubeStart of suggested clipEnd of suggested clipRemember if it's X plus 1/2 it's going to be to the left if it was X minus 1/2 it be to the rightMoreRemember if it's X plus 1/2 it's going to be to the left if it was X minus 1/2 it be to the right and then C determines the vertical shift. So this graph is shifted up three units.
Does Y Cscx have vertical asymptotes?
The vertical asymptotes for y=csc(x) y = csc ( x ) occur at 0 , 2π , and every πn , where n is an integer.
How do you write cosecant?
Cosecant is one of the main six trigonometric functions and is abbreviated as csc x or cosec x, where x is the angle. In a right-angled triangle, cosecant is equal to the ratio of the hypotenuse and perpendicular. Since it is the reciprocal of sine, we write it as csc x = 1 / sin x.
What is Cscx?
The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .
How do you graph secant and cosecant functions?
1:328:38How to Graph Secant and Cosecant - YouTubeYouTubeStart of suggested clipEnd of suggested clipGoes to 0 down to the minimum back to 0 back to the max like that and of course it repeats. So weMoreGoes to 0 down to the minimum back to 0 back to the max like that and of course it repeats. So we can keep going like this okay just draw a little bit more than one cycle.
How do you find a cosecant period?
By definition, csc(x)=1sin(x) . Therefore, its period is the same as the period of sin(x) , that is, 2π .Dec 29, 2016
How do you find the period of a cosecant graph?
1:096:22How to Graph the Cosecant Function with a Change in Period - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo my hamp two'd is absolute value of 1 which is just equal to 1 my period you can see I do have aMoreSo my hamp two'd is absolute value of 1 which is just equal to 1 my period you can see I do have a 2b or I have a B which is 2 so it's 2 pi divided. By 2 which equals pi.
Why are there no intercepts on the graph of y Cscx?
The equation cannot be solved because it is undefined. These are the x and y intercepts of the equation y=csc(x) y = csc ( x ) .
Where are the asymptotes of the graph of the cosecant function located?
1:163:14Learn How to Identify the Asymptotes of a CSC Function - YouTubeYouTubeStart of suggested clipEnd of suggested clipAnd. And then X cannot equal PI. I'm sorry x equals zero and PI. These are the values. When myMoreAnd. And then X cannot equal PI. I'm sorry x equals zero and PI. These are the values. When my cosecant when my sine is zero. So therefore my cosecant is undefined. So if you remember we wrote x
How do you find the asymptotes of secant and cosecant?
The asymptotes of cosecant and cotangent are the integers multiples of pi, the asymptotes of secant are at pi over 2 plus the integers multiples of pi.