#cosecant graph

[er-cryptid]

[dykebluejay]

pick based on which graph is nicest or which you like working with or something else idk. no see results or idk button pick one

[sstonki]

Exponential graph equation maker

Note that the first function is sin(a*x). You can also enter an exact value into the box at the top of the slider, followed by the GRAPH button or the Enter key.įor example, in the chart above, press 'reset'. When you enter your equations, you can refer to up to four variables that are controlled by sliders.Īnd you can adjust the value of each variable by moving the slider up or down. However, if you change the axis limits, this may no longer be true. The initial range of values on the x and y axes are in the same ratio, so a graph of y = x will be at 45°,Īnd circles would be round, not squashed into ellipses. The aspect ratio (ratio of width to height) of the graph window is exactly 4:3. GFE will check to ensure that the lower value is at the bottom of the y axis or the left of the x-axis. To change them, simply edit them in place and press GRAPH or the Enter key again. If you enter a value that is off the graph, the cursor will not show,īut the values of the functions for that x value will be displayed correctly.Īt each end of the x and y axis is a box containing the end values. You can enter the x value for the cursor manually into the text box in the upper left.Īfter entering a value press "Graph" or the enter key. It shows the values of each function where the cursor intersects that function. If you click on "show cursor", a thin vertical line appears. If left unchecked, each function is shaded in a different color. This allows you to more easily see where complex functions overlap, since the more overlap there is, the darker the shading. If this is checked, the shaded areas for all three functions are all the same light gray. When plotting inequalities, the "monochrome shading" checkbox can be used. The area of the graph where y is greater than the function value is shaded. The function will be plotted as a line as usual. GFE can be used to plot inequalities by changing the relational operator in the pull-down menu to the left of the function. It is best to always enter the correct expression yourself. It will add two extra closing parentheses so they balance and evaluate it as 2+(sin(x)) Note: This may not always produce the desired result. When you press GRAPH or enter, it will automatically add enough closing parentheses to balance them. You may have meant it as one over 2sin(x). Since there are no parentheses, it is executed from left to right so it sees it as one half of sin(x). For example if you enter 1/2sin(x) GFE inserts a multiply between the 2 and the sin. It will not work if the function is preceded by a variable name. For exampleģcos(2.1) will be automatically treated as if you entered 3*cos(2.1): three times the cosine of 2.1. If a function (such as sin() ) is preceded by a number, GFE assumes you want to multiply them. See PI definition for more.įor example you could enter sin(pi) or e^2.1 There are two constants you can refer to. Returns the smallest integer greater than or equal to x Returns the highest integer less than or equal to x Returns x rounded off to the nearest whole number Returns the absolute value of x (always positive or zero) The power to which you must raise e to get x.Į (approx 2.718) raised to the power of x. The power to which you must raise the 10 to get x. The trigonometry cotangent function, x in radians. The trigonometry cosecant function, x in radians. The trigonometry secant function, x in radians. The trigonometry tangent function, x in radians. The trigonometry cosine function, x in radians. The trigonometry sine function, x in radians. The function names are not case sensitive.Īll trigonometric functions operate in radians. GFE has the following built-in functions.

[newbabynames]

cosecant graph

[wisdomrays]

TAFAKKUR: Part 242

MUSLIM CONTRIBUTIONS TO MATHEMATICS: Part 2

Abu Kamil (about 850–930), an Egyptian mathematician, wrote the Book on Algebra which consists of three parts:

(1) Solutions of quadratic equations,

(2) Application of algebra to geometry,

(3) Diophantine equations.

He improved the work of Khwarizmi and applied algebraic methods to geometry. His research was on quadratic equations, multiplication and division of algebraic quantities. His work also includes addition and subtraction of radicals. He found the following formulas:

ax.bx=abx2; a(bx)=(ab)x; (10–x)(10–x)=100+x2–20x

Abu Kamil also wrote the Book On Surveying and Geometry, which was intended for government land surveyors. There, he stated the nontrivial rules for calculating areas, volumes, perimeters, and diagonals of different objects in geometry

Ibrahim ibn Sinan (908–946), a grandson of Thabit bin Qurra, was both an astronomer and a mathematician. Fuat Sezgin writes, "He was one of the most important mathematicians in the medieval Islamic world." He studied geometry, and his work on calculation of the area under the graph of a parabola is especially appreciated. Going further than Archimedes, he introduced a more general method of integration.

Abu Bakr ibn Muhammad ibn al-Husayn al-Karaji (953–1029), also known as al-Karkhi, is regarded as the first person to have developed algebraic operations without using geometry. One of his major works was Al-Fakhri fi'l-jabr wa'l-muqabala (Glorious on algebra). Historian Woepcke recognizes Al-Fakhri as the beginning of the theory of algebraic calculus. Here, al-Karkhi introduced the monomials x, x2, x3, ... and 1/x, 1/x2, 1/x3, ... and explained product rules among them. Moreover, he was the first to find the solutions of the equations ax2n+bxn=c. Al-Karkhi proved the sum formula for integral cubes by using the method of proof by induction, and hence became the first to use this method.

Abu'l Hasan ibn Ali al-Qalasadi (1412–1486) was an Andalusian Muslim mathematician. His main contribution was to introduce algebraic symbolism, and he used short Arabic words for his symbols. For example, he used the symbol for the sound "sh" from the Arabic word meaning "thing" to represent what we call x, the unknown.

TRIGONOMETRY

Khwarizmi also contributed to trigonometry. He established accurate trigonometric tables for sine and cosine, and he was the first to introduce tangent tables. [16] In 1126, these works were translated into Latin by Adelard of Bath.

Al-Battani or Albetagnius (about 850–929) was a Muslim astronomer and mathematician. In his research on astronomy he used trigonometric methods which were a lot more advanced than the geometric methods used by Ptolemy. He introduced trigonometric ratios. For example, for a right triangle with adjacent sides a and b, he gives the formula b sin(A) = a sin(900 – A), which is equivalent to tan A = a/b. He was the first to introduce the cotangent function.

Muhammad Abu'l Wafa (940–998), born at Buzjan in Khorasan, introduced the use of secant, cosecant and tangent functions. He gave a new method of constructing sine tables. He calculated sin(30^0) with an accuracy of up to eight decimal digits. He improved spherical trigonometry and proved the law of sines for general spherical triangles. In particular, he developed the half/double angle formulas:

2 sin2 (x/2)=1–cos x; sin 2x=2sin x cos x

He was the first to introduce the notion of secant and cosecant, and hence completed the list of all six trigonometric functions.

Abu Abd Allah Muhammad ibn Muadh Al-Jayyani (989–1079) was an Arab mathematician from Andalus. He was the author of The Book of Unknown Arcs of a Sphere which was "the first treatise on spherical trigonometry." Here he mentioned formulas for right handed triangles and law of sines. He also stated the formula for the solution of a spherical triangle in terms of the polar triangle. He had a strong influence on the West.

Another outstanding mathematician Nasir al-Din al-Tusi (1201–1274) wrote Treatise On The Quadrilateral, considered the best book on trigonometry written in medieval times, later translated into French by Alexandre Carathéodory Pasha in 1891. In his book al-Tusi made enormous advances in plane and spherical trigonometry. The Dictionary of Scientific Biography states, "This work is really the first in history on trigonometry as an independent branch of pure mathematics and the first in which all six cases for a right-angled spherical triangle are set forth." The well-known sine law is also stated in this work: a/sin A = b/sin B = c/sin C.

Ghiyath al-Din al-Kashi (1393–1449) produces sine tables of up to eight decimal places. In 1424, he computed 2π to an accuracy of sixteen decimal digits. He wrote a very impressive book on mathematics: Miftah al-Hussab (Key to Arithmetic). His main purpose in this book is to provide sufficient knowledge of mathematics for those who are working on astronomy,surveying, architecture, accounting and trading. He also describes how to find the fifth root of any number.

Unfortunately, the contributions of Muslims often go unrecognized. Muslim scholars contributed to science in many aspects such as mathematics, astronomy, geography, philosophy, medicine, art, architecture and so on. However, today few realize that in that era Islam played an important role in all aspects of life. Europe faced losing the works of major scholars, but as a result of their translations into Arabic most of this scholarship not only survived, but was further developed. Inspired by the Qur'an and hadiths, Muslims sought knowledge for the benefit of humankind. As the Qur'an says, "Are those who know equal to those who know not?"(Zumar 39:9). We should appreciate the scholars of all eras for their contributions to science.

[nathanpoplars]

What I want out of my education

Since elementary I have been told to do my homework, ace tests, and be on the honor roll. Those demands have been preached by my parents, teachers, and friends since I first stepped into a classroom. Furthermore, since I started high school I’ve been contemplating about what I want to do with my life. Of course being the president or a brain surgeon would be awesome; but, I have been thinking about being a financial manager. However, my education really hasn’t helped me pursue that dream. This leads to the question of what do I want out of my education? It’s easy to say that I want a diploma or scholarship money, but those pieces of paper don’t mean anything. To me, I want education to supply me with strategies and knowledge to make me a more successful person. For example, being in Honors Trigonometry does not do me any good. Learning how to graph cosecants or multiply matrices won’t put food on the table or fix my car. On the other hand, what I do want is to learn how to save retirement money or manage stress. Schools may have electives that touch on these real life situations, but they are too busy implementing AP Calculus into a 16 year old’s schedule. Plus, all of these classes are measured on a percentage scale from 1-100 when real life is measured by money made and happiness. All in all, I want my education to properly prepare me to succeed and thrive as an individual.

[namelessengineerbel]

Complex Function graphs Y=F(X): the Cosecant Y = csc X 4D surface with plane of imaginary axes rotating around real plane (and curve).

See http://www.wugi.be/qbComplex.html and https://www.youtube.com/watch?v=0iZeM_lGTz8

[justquestionanswers]

Math Homework Help

Importance of Math Homework and Assignment Help

We all know that math is an important part of our study whenever it is part of the school study or masters. Lots of students choose math for their higher study. Math is the subject that is part of over daily routine, so every student needs to study well and understand the subject's rules. Math is one of the challenging subjects for the students. Different students don't know about the various norms related to math. Because math is a subject based on formulas and rules, it is not easy for everyone to solve the problem related to math. 

 What is math and Math Homework Help ?

Math is also called mathematics. Math is a subject which deals with numbers, shapes, values data, and quantity. It is an important subject that helps in different fields like sports, engineering and daily life math is a subject that is everywhere in our daily lives. 

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Math is a subject that helps the students understand the different terms and develop the individuals' problem-solving skills. The main focus of providing homework to the students is to develop skills and thinking because math is a subject that offers a clear understanding of the subject and solving the problem using the right method and formulas. 

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 Branches of math 

 1.      Algebra

  Algebra includes the knowledge of algebraic structures, which are sets and rules defined on these sets satisfying specific assumptions. Algebra is also divided according to which design is considered; for instance, group theory includes an algebraic system named group.

 2.      Calculus and analysis

  Calculus studies are the sum of limits, derivatives, and integrals of original numbers functions, and in selective studies, instant rates of conversion. The investigation resulted from calculus.

 3.      Geometry and topology

  Geometry is the subject of specific designs like circles and cubes, though it has been generalized considerably. Topology is a part of geometry; it considers those characteristics that do not improve even when the figures are damaged by stretching and turning, like dimension.

 4.      Logic

   Logic is the basis that supports mathematical logic, methods, and the rest of mathematics. It tries to formalize logical thought. 

 5.      Parabola assignment problem 

  A parabola is a point simultaneously, also called the fixed and focused straight line. It is a curve of a shape known as the parabolic assignment problem. 

 6.      Operation analysis 

 It involves the problem-solving methods and techniques used in decision making and different fields, consisting of the decision processes, queuing theory, stochastic process models, and econometric methods. 

 7.      Trigonometry 

 It's a field of math that study relationship in the angle and length of the triangle. The function of trigonometry has involved consent, cosecant, tangent, graph, and many more. 

 8.      Arithmetics problem 

 It is also known as the division of mathematics, which studies the traditional operation's particular feature, which involves subtraction, multiplication, and division. It is one of the important mathematics branches that is necessary to study by all the students in the academic. 

   9.      Applied mathematics

 Dynamical systems and differential equations

  It is referred to as the differential equation as a methodology concerning an unknown function and its derivatives.

 The dynamical system is a rule that describes the time relationship of a point in a geometrical area. The mathematical rules are applied to determine the movement of a clock pendulum, the movement of water.

 Mathematical physics

 It is involved with the use of mathematics to difficulties in physics and the improvement of mathematical methods proper for it and developing the techniques.

 Probability and statistics

  It's a subject of the mathematics of possible effects or knowledge. The associated mathematical, statistical theory with mathematics—statistics-is associated with gathering data and examining data. 

 Game theory

 Game theory is an important part of mathematics that considers models to analyzing interactions with formalized incentive structures. It has relationships within a variety of fields, including economics, evolutionary biology. Is one of the terms which are used in critical decision making is required to have good knowledge to the students about the game theory.

 Why students need Math Homework Help?

 As we know, math is not an easy subject its deals with the different concepts related to mathematics, formulas, and theories, so it is not easy for the students to understand the subject quickly. Many students are stuck with the math homework because they don't have enough knowledge about the subject and the required skills to complete their assignment work quickly. 

 Lack of knowledge 

 Students don't have proper knowledge about the subject and different topics related to the subjects that are the reason they required Math Homework Help. Math is a subject that involves the various areas related to study. Because of the different methods and formulas, it is not easy for the students to solve the problem quickly, and they required the experts' help to solve them and submit the homework in the given time. 

 Professional solution 

 A professional solution is the main reason students want Math Homework Help. When students choose Math Homework Help, they will get the experts' answers, and experts very well know about the different facts and formulas related to solving a mathematical equation. So that helps them achieve the best in academics and help them achieve the best in academics. Students required Math Homework Help because they needed a professional solution which can help them with their problem. 

 Scoring high marks 

  students want to score high marks in the academic and that can be done by taking Math Homework Help from professional. When they take math homework help then experts help them with the best solution for their work, which is error-free and uses all the information to help them make the right way for their work and make it different from others. Math Homework Help leads to the students' excellent academic performance, and they can get high marks in academics. 

[soapybitch]

Dave’s Short Trig Course

Angle in unit circle showing trig functions as lengths of line segments

Table of Contents

Who should take this course?

Trigonometry for you

Your background

How to learn trigonometry

Applications of trigonometry

Astronomy and geography

Engineering and physics

Mathematics and its applications

What is trigonometry?

Trigonometry as computational geometry

Angle measurement and tables

angle theta in a circle of radius r

Background on geometry

The Pythagorean theorem

An explanation of the Pythagorean theorem

Similar triangles

Angle measurement

The concept of angle

Radians and arc length

Exercises, hints, and answers

About digits of accuracy

Chords

What is a chord?

Trigonometry began with chords

sin is opp over hyp

Sines

The relation between sines and chords

The word “sine”

Sines and right triangles

The standard notation for a right triangle

Exercises, hints, and answers

cos is adj over hyp

Cosines

Definition of cosine

Right triangles and cosines

The Pythagorean identity for sines and cosines

Sines and cosines for special common angles

Exercises, hints, and answers

tan is opp over adj

Tangents and slope

The definition of the tangent

Tangent in terms of sine and cosine

Tangents and right triangles

Slopes of lines

Angles of elevation and depression

Common angles again

Exercises, hints, and answers

The trigonometry of right triangles

Solving right triangles

Inverse trig functions: arcsine, arccosine, and arctangent

The other three trigonometric functions: cotangent, secant, and cosecant

Exercises, hints, and answers

Pythagorean triples

graph of sin x

The trigonometric functions and their inverses

Arbitrary angles and the unit circle

Sines and cosines of arbitrary angles

Properties of sines and cosines that follow from the definition

Graphs of sine and cosine functions

Graphs of tangent and cotangent functions

Graphs of secant and cosecant functions

Computing trigonometric functions

Before computers: tables

After computers: power series

law of cosines

The trigonometry of oblique triangles

Solving oblique triangles

The law of cosines

The law of sines

Exercises, hints, and answers

law of sines

Demonstrations of the laws of sines and cosines

For the law of sines

For the law of cosines

Area of a triangle

Area in terms of two sides and the included angle

ptolemy's theorem

Ptolemy’s sum and difference formulas

Ptolemy’s theorem

The sum formula for sines

The other sum and difference formulas

Summary of trigonometric formulas

Formulas for arcs and sectors of circles

Formulas for right triangles

Formulas for oblique triangles

Formulas for areas of triangles

Summary of trigonometric identities

More important identities

Less important identities

Truly obscure identities

About the Java applet.

Images in Dave’s Short Trig Course are illustrated with a Java applet. If your browser is Java-enabled, you can drag the points around in the diagrams and the diagram will adjust itself. The applet also allows you to lift a diagram off the web page into its own floating window. For details, see About the applet.

Note that some web browsers do not allow printers to print images created by Java applets. You may still be able to print the images if turn off Java in your browser, and the plain images should appear that can be printed.

Select topic

Dave’s Short Trig Course is located

at http://www.clarku.edu/~djoyce/trig

[er-cryptid]

Patreon | Ko-fi  

[alimckenzie]

I graduate in 2 months

where's my rich boy who's gonna take me and disappear to another country , sight see , meet people , sleep in uncomfortable hotel rooms , stuff our faces with real fucking food , get high, get drunk, and have sex every other night ? I know you exist . I've dreamt about you every night. Because I've got 32 days left of stressing over how to graph cosecant and writing about fictional characters daddy issues. So wherever you are I just want you to know I'm ready.

[fwoomp]

;

[darveshclasses]

Integration |Exercise 9.2|Question 3 Solution|Elements of Mathematics |

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[trungtamtiengtrung]

Tiếng Trung chủ đề từ vựng toán học phần 5

Gửi đến các bạn học tiếng Trung chủ đề từ vựng toán học phần 5, các bạn hãy lưu về học tập chăm chỉ nhé. Dưới đây là những từ vựng cuối cùng chủ đề toán học mình chia sẻ với các bạn, hãy lưu về học và chia sẻ với những người bạn của mình nữa nhé. Chúc các bạn học tập chăm.  

Đọc thêm:

>>Tiếng Trung chủ đề từ vựng toán học phần 4.

>>Học tiếng Trung đạt hiệu quả cao tại Ngoại ngữ Hà Nội.

Tiếng Trung chủ đề từ vựng toán học phần 5

五面体     wǔ miàn tǐ         khối ngũ giác/ pentahedron

六面体   liùmiàntǐ        khối lục diện/ hexahedron

平行六面体         píngxíng liùmiàntǐ               hình hộp/ parallelepiped

立方体           lìfāngtǐ           hình khối/ cube

多面体        duōmiàntǐ          đa diện/ polyhedron

棱锥           léngzhuī           hình chóp/ pyramid

棱柱          léngzhù            lăng trụ/ prism

棱台           léngtái              hình chóp cụt/ frustum of a prism

旋转           xuánzhuǎn       xoay vòng/ rotation

轴     zhóu       trục/ axis

圆锥  yuánzhuī      hình nón/ cone

圆柱     yuánzhù       hình trụ/ cylinder

圆台    yuántái         hình nón cụt/ frustum of a cone

球        qiú                  hình cầu/ sphere

半球    bànqiú           bán cầu/ hemisphere

底面   dǐmiàn     mặt đáy/ undersurface

表面积        biǎomiànjī         diện tích bề mặt/ surface area

体积   tǐjī          thể tích/ volume

空间         kōngjiān            không gian/ space

坐标系         zuòbiāo xì               hệ tọa độ/ coordinates

Các bạn quan tâm đến khóa học đào tạo tiếng Trung từ mới bắt đầu đến giao tiếp thành thạo, học Hán ngữ 6 quyển: Q1, Q2, Q3, Q4, Q5, Q6, luyện thi HSK, luyện biên phiên dịch, luyện nghe nói với người Trung, hãy xem chi tiết khóa học tiếng Trung tại link sau:

https://ngoainguhanoi.com/trung-tam-hoc-tieng-trung-tot-nhat-tai-ha-noi.html.

坐标轴       zuòbiāo zhóu           trục x, trục y, trục z/ x-axis, y-axis, z-axis     

横坐标       héngzuòbiāo           hoành độ/ x-coordinate

纵坐标          zòngzuòbiāo        tung độ/ y-coordinate

原点          yuándiǎn      gốc/ origin

双曲线    shuāngqūxiàn     hy-péc-bôn/ hyperbola

抛物线   pāowùxiàn     đường pa-ra-bôn/ parabola

三角    sānjiǎo    tam giác/ trigonometry

正弦    zhèngxián    sin/ sine

余弦   yúxián   cô-sin/ cosine

正切       zhèngqiē      tang/ tangent

余切    yúqiē        cô-tang/ cotangent

//正割   zhènggē   hàm số lượng giác/ secant

反正弦    fǎnzhèng xián        arc sine

反余弦    fǎn yúxián       arc cosine

反正切    fǎnzhèng qiē     arc tangent

反余切      fǎn yú qiē     arc cotangent

反正割    fǎnzhèng gē       arc secant

反余割    fǎn yú gē       arc cosecant

相位     xiàngwèi    pha/ phase

周期        zhōuqī     chu kỳ/period

振幅   zhènfú    biên độ sóng/ amplitude

内心   nèixīn     nội tâm/ incentre(BrE), incenter(AmE)

外心    wàixīn  ngoại tâm/ excentre(BrE), excenter(AmE)

重心     zhòngxīn    trọng tâm/ barycentre(BrE), barycenter(AmE)

内切圆      nèiqiēyuán    đường tròn nội tiếp/ inscribed circle

外切圆        wài qiē yuán   đường tròn ngoại tiếp/ circumcircle

统计      tǒngjì     thống kê/ statistics

平均数    píngjūnshù    số trung bình/ average

加权平均数    Jiāquán píngjūn shù     Trung bình có trọng số/ weighted average

方差    Fāngchā           Phương sai/ variance

标准差   biāozhǔn chā     độ lệch chuẩn/ root-mean-square deviation, standard deviation

比例   bǐlì    tỷ lệ/ propotion

百分比    bǎifēnbǐ       tỉ lệ phần trăm/ percent

百分点   bǎifēndiǎn    điểm bách phân/ percentage

百分位数 percentile

排列    páiliè    hoán vị, sắp xếp/ permutation

组合    zǔhé   tổ hợp/ combination

概率，或然率   gàilǜ, huòránlǜ    xác suất/ probability

分布     fēnbù    phân bố/ distribution

正态分布 normal distribution

非正态分布 abnormal distribution

图表         túbiǎo        biểu đồ/ graph

条形统计图 bar graph

柱形统计图 histogram

折线统计图 broken line graph

Tiếng Trung chủ đề từ vựng toán học phần 5 ở trên đây các bạn lưu về học và luyện tập thường xuyên để nắm được kiến thức từ vựng về chủ đề này nhé. Hãy chăm chỉ, nỗ lực để đạt được những mục tiêu mà các bạn đã đặt ra với Trung ngữ nhé.

Nguồn bài viết: trungtamtiengtrung.tumblr.com

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