Algebra is one of the broad parts of mathematics‚ together with number theory‚ geometry and analysis. For historical reasons‚ the word "algebra" has several related meanings in mathematics‚ as a single word or with qualifiers. • As a single word without article‚ "algebra" names a broad part of mathematics (see below). • As a single word with article or in plural‚ "algebra" denotes a specific mathematical structure. See algebra (ring theory) and algebra over a field. • With a qualifier‚ there
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Review of Algebra 2 s REVIEW OF ALGEBRA Review of Algebra q q q q q q q q q q q q q q q Here we review the basic rules and procedures of algebra that you need to know in order to be successful in calculus. Arithmetic Operations The real numbers have the following properties: a b b a ab a b c a b ab c ab ac In particular‚ putting a b and so b c b c ba c (Commutative Law) (Associative Law) (Distributive law) ab c a bc 1 in the
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Trigonometry Trigonometry uses the fact that ratios of pairs of sides of triangles are functions of the angles. The basis for mensuration of triangles is the right- angled triangle. The term trigonometry means literally the measurement of triangles. Trigonometry is a branch of mathematics that developed from simple measurements. A theorem is the most important result in all of elementary mathematics. It was the motivation for a wealth of advanced mathematics‚ such as Fermat’s Last Theorem
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Shawnje Granville Benjamin Banneker Academy January 17‚2013 Trigonometry TRIGANOMETRY The history of algebra goes way back in time (more than 4000 years . Algebra is a sub within mathematics‚ but for historical reasons‚ the word "algebra" has three meanings that can all suffice in defining the word or term . Algebra can mean use of letters and symbols to represent values and their relations‚ especially for solving equations‚major branch of mathematics which studies relations
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The invention of algebra from the ancient world has produced many opportunities for the modern world we live in today. According to the Webster’s Dictionary‚ “algebra by definition is the part of mathematics in which letters and other symbols are used to represent numbers and quantities in formulae and equations.” First and for most‚ algebra is divided into two different groups‚ the first group being “classical algebra”‚ which is solving equations and finding the unknown variable. The second group
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(I made this when I was a freshman. I’m now a Junior.) Why do we need to learn Algebra? What’s the point of learning Algebra in the first place? After all‚ all of the math leading up to Algebra that we learned growing up such as addition‚ multiplication‚ decimals‚ fractions‚ et cetera that seems to have a concrete meaning? This concept all deals with numbers‚ in some way or another‚ and because of this we can apply it to our daily lives like calculating‚ and in our chosen career. In short
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ANSWER: 8-4 Trigonometry Express each ratio as a fraction and as a decimal to the nearest hundredth. 1. sin A 3. cos A SOLUTION: The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. So‚ ANSWER: SOLUTION: The sine of an angle is defined as the ratio of the opposite side to the hypotenuse. So‚ 4. tan A ANSWER: 2. tan C SOLUTION: The tangent of an angle is defined as the ratio of the opposite side to the adjacent side. So‚ ANSWER: 3. cos A SOLUTION:
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sense that there are many aspects of Algebra that the majority of people do not use on a daily basis. I think that this fact is what leads people to the false conclusion that Algebra is useless. To better understand our topic‚ let’s define what we mean when we say “Algebra”. Webster’s dictionary defines Algebra as “a form of mathematics dealing with symbols and equations.” A guest in the mathematics forum on xpmath.com states that “…the truth is that Algebra is not much more than arithmetic expanded
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Various derivations of the word "algebra‚" which is of Arabian origin‚ have been given by different writers. The first mention of the word is to be found in the title of a work by Mahommed ben Musa al-Khwarizmi (Hovarezmi)‚ who flourished about the beginning of the 9th century. The full title is ilm al-jebr wa’l-muqabala‚ which contains the ideas of restitution and comparison‚ or opposition and comparison‚ or resolution and equation‚ jebr being derived from the verb jabara‚ to reunite‚ and muqabala
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Pamantasan ng Lungsod ng Maynila (University of the City of Manila) Intramuros‚ Manila ADVANCED ALGEBRA Submitted by: Madid‚Rohainee G. Submitted to: Dela Cruz‚ Roberto J. Submitted on: July 6‚ 2012 EQUATIONS: 1. x2+y-12=1 (x-1)2+y2=1 2. x2+2y2=4 x-y-1=0 3. 4x2+y2=1 x2+4y2=1 ------------------------------------------------- Blitzer‚ Robert. “Algebra For College Students 2nd Ed.” 1994 p. 736 EQUATIONS: 1. 4x2+9y2=36 2x2-9y2=18 2. x2+y2=1
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