From reddit. The function From ocw. To calculate the arctangent of a number, just enter the number and apply the arctan function. For example, to calculate the arctangent of the following number 10, type arctan 10 , or directly 10 if the arctan button already appears, the result 1. From solumaths. From slovakiahoster. This limi From youtube. Arcsin of infinity. What is the arcsine of infinity and minus infinity? The arcsine is the inverse sine function. Since x can be in the range of [-1,1], arcsin x is undefined outside the range of [-1,1].
So the limit of arcsine of x From mymathtables. From semaths. This arctan calculator converts a value to its inverse tangent. Simply enter the number you wish you calculate. The following formula can be used to calculate the arctan of a value. Where x is a value; C is an angle in From calculator. From quora. In mathematics, the inverse trigonometric functions are the inverse functions of the trigonometric functions.
Specifically, the arctan is the inverse of the tangent. From math. From rapidtables. In my book [an expression, not a text] "undefined" should be taken literally. In any event, its value is not specific, or definite. That is its purpose.
The definition might vary slightly in wording, but there is still only one meaning, or significance. Either way, it has only one significance. A chair or a seat, it's the same single concept, and definitely something to sit on. So, to say that something has an "infinite value" is simply yet another way of saying large beyond bound, or any other word-combination with the same meaning.
However it's said, there is only one meaning, not three. Pour moi, "Equals infinity" gives me the message needed that something has increased without bound, and does so without quandry on my part. It certainly simplifies notation, as the notation is used in limit problems. It's always dangerous to claim a function "is defined" in a certain way -- I've made that mistake myself.
You definition is never the only one. If theta is negative then it's clockwise by minus theta. It's always hard to know when to answer what students actually ask and when to answer what we think they probably meant to ask. This time I made a value judgment and guessed at what I thought the student probably meant. Literally, as you say, arctan -inf presupposes that "infinity" is a number.
As Stan stated it depends on what definitions we're using. The trig functions are, most certainly, defined in terms of points in a coordinate system. We're talking x's and y's here Trig class came before calc class then, and probably still does Look at the 2nd paragraph from David's article at the 1st link above.
As an analogy, take the English language. There are many words with more than one meaning. As long as the specific definition is clear in the context in which we're communicating, there is no problem. My dog's papers has a line where it specifies the name of her "bitch" but I ain't gonna knock on the neighbor's door and ask even politely to "keep your bitch out of my yard" lest the man of the house may assume I intend a differenet definition.
I hope you believe this It's good to see you back in the fray. It [limits] still existed at the time. You [and I] were just not ready for it then, but were ready for the consideration in order to have continuity. There is a philosophy and pedagogy to teaching math, [or any other subject], but when young we are generally not ready for such in-depth study.
Still, again, it is there. Sorry about your cat. If I do ever get one, I'll name it accordingly. It would make an interesting name and topic for discussion after dinner. The definition of trig functions in the coordinate system is still based upon the definitions derived in the geometric right triangle from consideration of similarity.
As applied in physical problems, one might think of the radius as a straight stiff rod rotating about the origin. It has an 'elastic' line connected from its tip to the horizontal axis, which changes length as the connection to the x-axis moves back and forth [consider problems in simple harmonic motion. I readily accepted that at the time, since it seemed at the time to make sense. A real study of limits came later, but a slight preview didn't hurt a bit.
Connect and share knowledge within a single location that is structured and easy to search. How does one prove it preferably, without resorting to L'Hopital's rule? Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Learn more. Ask Question. Asked 7 years, 8 months ago. Active 3 years, 10 months ago.
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