Analyze the graphs of \ (y=\sec x\) and \ (y=\csc x\). Graph variations of \ (y=\sec x\) and \ (y=\csc x\). The secant function was defined by the reciprocal identity \ (sec \, x=\dfrac {1} {\cos x}\).

Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

Find the period of sec(x) sec (x). Tap for more steps... Find the phase shift using the formula c b c b. Tap for more steps... List the properties of the trigonometric function. The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.

We learn why graphs of tan, cot, sec and cosec have a periodic gap in them (also known as a discontinuity). We learn how to sketch the graphs.

The secant function is an even function because sec(-x) = sec x, for all x. Sec x has vertical asymptotes at all values of x = π/2 + nπ, n being an integer. The secant function graph is symmetric with respect to the y-axis.

2023年12月9日 · Learn how to graph secant function. What Is a Secant Function? Secant is an even function that serves as the reciprocal of the cosine function. It is a trigonometric function with a more extensive graph in the negative direction rather than a smaller one.

The calculator will draw the graph of the function $$$ y = f{\left(x \right)} = \sec{\left(x \right)} $$$. To draw a parabola, circle, ellipse or hyperbola, choose the "Implicit" option.

Definition and Graph of the secant Function. Let angle \( \theta \) be in standard position with initial side on the positive x axis and terminal side OM as shown below. The secant function \( sec (\theta) \) is defined as \( \sec(\theta) = \dfrac{r}{x} \) , where \( r \) is the distance from O to M and is given by \( r = \sqrt{x^2+y^2} \).

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. How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions?

• The x-intercepts of y = cos x are the asymptotes for y = sec x. Note: the U shapes of the secant graph are tangent to its reciprocal function, cosine, at cosine's max and min locations.