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 Cscx?
0:008:38How to Graph Secant and Cosecant - YouTubeYouTubeStart of suggested clipEnd of suggested clipCosecant of X we'll just start with the basic one we know that cosecant is the reciprocal of theMoreCosecant of X we'll just start with the basic one we know that cosecant is the reciprocal of the sine graph. So what we're gonna do is we're gonna graph the sine graph. To use it as a guide. Okay.
How do you graph a csc transformation?
1:135:42Example: Graphing a Transformation of Cosecant Function - YouTubeYouTubeStart of suggested clipEnd of suggested clipRemember if it's x plus one half it's going to be to the left if it was x minus one half it'd be toMoreRemember if it's x plus one half it's going to be to the left if it was x minus one half it'd be to the right. And then c determines the vertical shift. So this graph is shifted up three units.
How the graph of the sine function can be used to graph Y Cscx?
1) Explain how the graph of the sine function can be used to graph y=cscx. Since y=cscx is the reciprocal function of y=sinxyou can plot the reciprocal of the coordinates on the graph of y=sinx obtain the y-coordinates of y=cscxThe x-intercepts of the graph y=sinx are the vertical asymptotes for the graph of y=cscx.
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 find the equation of a csc graph?
2:206:05Find the Equation of a Transformed Cosecant Function From The GraphYouTubeStart of suggested clipEnd of suggested clipFunction in the form y equals a times sine of b times the quantity x minus d plus c where a of x theMoreFunction in the form y equals a times sine of b times the quantity x minus d plus c where a of x the amplitude b affects the period d affects the phase shift or horizontal shift.
How do you graph secant and cosecant graphs?
0:0011:00Graphing Secant and Cosecant Functions - YouTubeYouTubeStart of suggested clipEnd of suggested clipHi everybody today we're going to talk about graphing secant. And cosecant functions. So we're goingMoreHi everybody today we're going to talk about graphing secant. And cosecant functions. So we're going to start by graphing cosecant. So to graph cosecant we're actually going to first graph the sine
How can you use a sine curve to obtain a cosecant curve?
0:023:45Example: Graphing the Cosecant Function Using the Sine FunctionYouTubeStart of suggested clipEnd of suggested clipSo if we want to graph y equals cosecant theta. We can determine sine function values then take theMoreSo if we want to graph y equals cosecant theta. We can determine sine function values then take the reciprocals of those and that will give us cosecant function values.
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 ) .
How do you write cosec in Desmos?
0:083:58Graphing the cosecant function using Desmos (radians) - YouTubeYouTubeStart of suggested clipEnd of suggested clipFunction since cosecant x is equal to the reciprocal of sine x or one divided by sine x wherever theMoreFunction since cosecant x is equal to the reciprocal of sine x or one divided by sine x wherever the sine function is equal to zero the cosecant.
How do you find the vertical asymptote of y Cscx?
For any y=csc(x) y = csc ( x ) , vertical asymptotes occur at x=nπ x = n π , where n n is an integer. Use the basic period for y=csc(x) y = c s c ( x ) , (0,2π) ( 0 , 2 π ) , to find the vertical asymptotes for y=csc(x) y = csc ( x ) .
Which one is the vertical asymptote of Cscx?
The graph of y = csc x has vertical asymptotes at x = n π , where is any integer.
How do you find the vertical asymptote of a csc function?
1:0210:21Trigonometry - Finding Vertical Asymptotes - Example 4 - CosecantYouTubeStart of suggested clipEnd of suggested clipAnd sine of x equals 0 when x is k pi so that means cosecant is undefined. Which graphically meansMoreAnd sine of x equals 0 when x is k pi so that means cosecant is undefined. Which graphically means it has vertical asymptotes in the specific case okay so x equals k pi where k is any integer.