Monday, May 3, 2021

Trigonometric Functions - Wikipedia

zack May 03, 2021 No comments

Find an answer to your question Which equations transform the parent secant graph to the parent cosecant graph? y = sec(x+pi/2) y=sec(x - pi/2) y = sec X-pi y= … mariaromano mariaromano 04/14/2020y intercepts: y = 1 symmetry: since sec(-x) = sec (x) then sec (x) is an even function and its graph is symmetric with respect to the y axis. intervals of increase/decrease: over one period and from 0 to 2 pi, sec (x) is increasing on (0 , pi/2) U (pi/2 , pi) and decreasing on (pi , 3pi/2) U (3pi/2 , 2pi).So, for example, if you had a graph that gave you values of X as a function of why could you use that graph to describe will create this graph. The answer is yes. And the reason why is because co sign of excess a function of Sequent because we know that secret of X as you go toe one over cosine X.You can graph a secant function f(x) = sec x by using steps similar to those for tangent and cotangent. As with tangent and cotangent, the graph of secant has asymptotes. This is because secant is defined as The cosine graph crosses the x-axis on the interval at two places, so the secant graph has […]The graph of y=sec x is symmetric with respect to the _____ and has vertical asymptotes at_____ y-axis; pi/2, 3pi/2 True/False: The graphs of y=tan x, y=cot x, y=sec x, and y=csc x each have infinitely many vertical asymptotes.

Properties of The Six Trigonometric Functions

4.6 Graphing y = sec(x), y = csc(x), y = tan(x) and y = cot(x) Graphing Secant and Cosecant Remember: 1 sec( ) cos( ) yx x == and 1 csc( ) sin( ) yx x == This means the y‐values on the graphs of secant are the reciprocals of the y‐ values on the graph of cosine (same for cosecant and sine). Using a dotted graph of cosine, we can get a graphHow do you graph #y=sec x#? Trigonometry Graphing Trigonometric Functions Graphing Tangent, Cotangent, Secant, and Cosecant. 1 Answer Mohan V. Jan 11, 2018 You would find this video Helpful. Explanation: values of cos at respective values of theta. Answer link. Related questionsWe can graph [latex]y=\sec x[/latex] by observing the graph of the cosine function because these two functions are reciprocals of one another. See Figure 9. The graph of the cosine is shown as a dashed orange wave so we can see the relationship. Where the graph of the cosine function decreases, the graph of the secant function increases. WherePlease read Explanation. The first step to graphing a reciprocal function is to expand the function with the definition of the reciprocal function. In this case: sectheta=1/costheta So, to put it in the actual function: sec(x/2)=1/cos(x/2) Now, graph the wave of cos(x/2) with a dotted line. The graph starts at (0,1) and has a period of (2pi)/(1/2) or 4pi.

SOLVED:How can the graph of y=\cos x be used to c…

The Graph of y = sec x. We could laboriously draw up a table with millions of values, or we could work smart and recall that `sec x=1/(cos x)` We know the sketch for y = cos x and we can easily derive the sketch for y = sec x, by finding the reciprocal of each y-value. (That is, finding `1/y` for each value of y on the curve `y = cos x`.)We now use a system of rectangular coordinates $ (x,y) $ to plot the points and use all information in the above tables to approximate the graph of the secant function $ \sec x $ as shown below. $ \sec (\theta) $ is shown in red along with $ \cos (\theta) $ in green, from $ \theta = 0 $ to $ \theta = 2\pi $, to help understand theThe secant and cosecant graphs satisfy the following properties: range: (− ∞, − 1] ∪ [1, ∞) (-\infty, -1] \cup [1, \infty) (− ∞, − 1] ∪ [1, ∞) period: 2 π. 2\pi. 2 π. From the graphs of the secant and cosecant functions, we see that secant is an even function (like cosine) and cosecant is an odd function (like sine).y = Sec ^ -1 x means y is the angle whose secant is x. If its secant is x, its cosine is 1/x. So to graph it, use y = (cos^-1 (1/x)). Secants only go from 1 up or -1 down so the domain is x ≥ 1 or...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. Phase shift in secant-graph The secant function is y= sec(bx -c) - d Period = 2π/b and phase shift = c/b

This website online is excellent for drawing graphs:

http://www.wolframalpha.com/

that is what it gave for yours:

http://www17.wolframalpha.com/input/?i=sec%C2%B2x

But for those who've gotta draw the graph then you'll be able to probably have to turn the asymptotes:

sec² x = 1/cos² x

and because cos x = Zero when x = ±π/2 and ±3π/2 (within the area -2π ≤ x ≤ 2π) the asymptotes must be drawn at x = ±π/2 and x = ±3π/2

cos x = 1 when x = 0 or ±π or ±2π so the turning points happen when x = Zero or ±π or ±2π and the y-coordinate is 1 for all of them

But just draw the graph for the domain you've been given