How to graph csc functions

Identify the graphs of these. Graphing Reciprocal Trig Functions Video.

Why are there no intercepts on the graph of latexycsc xlatex.

How to graph csc functions. To graph y csc x follow these steps. Sketch the graph of y sin x from 4 π to 4 π as shown in this figure. A sketch of the sine function.

Draw the vertical asymptotes through the x -intercepts as the following figure shows. The vertical asymptotes of cosecant drawn on the graph of sine. 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.

Graph the Cosecant Function. 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. Secant Cosecant Graphs.

Learn how to graph both sec and csc trigonometric functions. This handout includes 4 worked out examples. Tangent Cotangent Graphs.

Learn how to graph tan and cot trig functions. This cheat sheet includes both the formulas and 4 detailed examples. Graphing Reciprocal Trig Functions Video.

First we graph y cos x and then y sec x immediately below it. Compare the y -values in each of the 2 graphs and assure yourself they are the reciprocal of each other. Y cos x.

The following diagram shows how to graph cosecant functions with transformations. Scroll down the page for more examples and solutions for cosecant graphs with transformations. Sketching a Graph of Cosecant In this problem there is a change in amplitude and period a phase shift and a vertical shift.

This is the hardest type. The graph of the secant function is as follows. Similarly csc θ csctheta csc θ is not defined for values of θ theta θ such that sin θ 0 sintheta 0 sin θ 0 which occurs for θ 0 k π theta 0 kpi θ 0 k π for any integer k k k.

Therefore the cosecant function has vertical asymptotes at these values of θ theta θ. The graph of the cosecant function is as follows. The CSC function returns the cosecant of an angle provided in radians.

In geometric terms the cosecant of an angle is equal to the ratio of a right triangles hypotenuse divided by its opposite side. For example the cosecant of PI 6 or 30 returns the ratio 20. CSCPI 6 Returns 20.

HttpbitlyRelaxing_Study_Music —- Subscribe httpsbitlyArmanisMath_Subscribe ArmanisMath presents a Live and engaging lectu. So the function csc 2x has a period of 2pi2 or pi. Following this video lesson you will be able to.

Define cosecant secant and cotangent. Identify the graphs of these. When graphing reciprocal trigonometric functions first find the values of the original trig function.

Take the reciprocal of each value and plot the ordered pair in the coordinate plane. This lesson shows how to graph the reciprocal trigonometric functions y csc x y sec x and y cot x using the y sin x y cos x and y tan x functions. Note that the vertical asymptotes the dotted lines in the graph for the csc csc function occur at every multiple of π π that is at nπ n π wherever sinθ 0 sin θ 0.

Two Periods of ycscpit1 thick and redysinpit1 thin and gray 3. Graph two complete periods of the function y-2cscleftfrac12t-fracpi8right after first graphing two complete periods of the function y-2sinleftfrac12t-fracpi8righttext Solution. Learn how to graph a cosecant function.

To graph a cosecant function we start with the sine graph by first determining the amplitude the maximum point on t. Start by graphing the cosine function. Stretch the graph of y cosx so the amplitude is 2.

Draw vertical asymptotes where the graph crosses the x-axis. Shift the graph of y 2cosx down 3 units. Use the maximum and minimum points on the graph of the cosine function as turning points for the secant function.

Explain how the graph of the sine function can be used to graph latexycsc xlatex. How can the graph of latexycos xlatex be used to construct the graph of latexysec xlatex. Explain why the period of latextan xlatex is equal to π.

Why are there no intercepts on the graph of latexycsc xlatex. Vertical asymptotes of y csc x 1 sin x at the zeros of sin x given by x kπ k 0 mn1 mn2. We need to know how to sketch basic secant and cosecant functions using the identities y sec x 1 cos x and y csc x 1 sin x to understand the vertical.

Cosecant function or csc function of an angle is a trigonometric function that gives the ratio of the hypotenuse side opposite to the right angle to the side opposite to a given angle perpendicular in a right-angled triangle. The cosecant function is also the reciprocal the of sin function csctheta frac 1 sintheta cscθ sinθ1.