Trigonometric methods - Study guides, Revision notes & Summaries
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OCR 2023 GCE MATHEMATICS B MEI H640/03: PURE MATHEMATICS AND COMPREHENSION A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Exam (elaborations) • 66 pages • 2024
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2 
© OCR 2023 H640/03 Jun23 
= 
e 
n+1 
2 
Formulae A Level Mathematics B (MEI) (H640) 
Arithmetic series 
S = 
1 
n^a+lh = 
1 
n"2a+^n-1hd, 
n 2 2 
Geometric series 
Sn 
= 
a^1-r 
nh 
1 -r 
 a 
3 1 -r 
for r 1 1 
Binomial series 
^a+bh 
n 
= a 
n + 
nC1 
a 
n-1 
b+ 
nC2 
a 
n-2 
b 
2 +f+ 
nCr 
a 
n-r 
b 
r +f+ b 
n ^n e Nh, 
n 
Jn 
N n! 
where 
Cr 
= n 
Cr 
= K 
r 
O = 
r!^n -rh! 
L P 
^1+xh 
n 
= 1+nx+ 
n^n -1h 
x 
2 
+f+ 
n^n - 1hf^n -r+1h 
x 
r 
+f 
^x 1 1, n e Rh 
2! 
Differentiation 
f^x...
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Pure Mathematics Revision Notes (Mathematics Edexcel A-Level)
- Summary • 12 pages • 2024
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Pure Mathematics Edexcel A-Level Year 1 and 2 revision notes, written by a straight A* student. Includes diagrams and explanations for concepts. Well organised and in order. 
Includes collated information from class, textbooks and online. Topics include: Quadratics, Graphs and transformations, Functions and graphs, Circles, Algebraic methods, The binomial expansion, Trigonomic ratios, Trigonomic identities and equations, Trigonometric functions, Trigonometry and modelling, Vectors, Differentiat...
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COMPLETE MATHEMATICS NOTES
- Lecture notes • 662 pages • 2023
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Natural Numbers --------------------------------------------------------------------------11 
Factors -------------------------------------------------------------------------------------18 
Divisibility test ----------------------------------------------------------------------------23 
G.C.D ---------------------------------------------------------------------------------------26 
L.C.M ---------------------------------------------------------------------------------------29 
Integers---------...
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Edexcel Year 1 Maths_complete notes
- Lecture notes • 45 pages • 2023
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Edexcel Year 1 Maths_complete notes 
 
 
PURE MATHS YEAR 1 CONTENTS 
 
I ALGEBRAIC FRAMING 
1 QUADRATUS 
3 EQUATIONS AND INEQUALITIES 
4 GRAPHS AND TRANSFORMATION 
5 STRAIGHT LINE GRAPHS 
6 CIRCLES 
7 ALGEBRAIC METHODS 
8 THE BN0M EXPRESSION 
9 TPIIINIMETPII RAIDS 
A 
 
TRIGONOMETRIC IDENTITIES AND EQUATING 
 
It VECTORS 
11 DIFFERENTIATION 
13 INTEGRATION 
14 EN1N-0AB AND DIANTHA
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Algebra
- Exam (elaborations) • 21 pages • 2023
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1.	Polynomial	a mathematical expression that is the sum of a number of terms 2.	Quadratic Equa- tions a function in the form: f(x) = ax² + bx + c = 0, a`0. 3.	cubic equation	a polynomial equation with a term of degree 3 as its term of highest degree 4.	Rational polyno- mial expression 5.	Trigonometric Equations 6.	How to solve algerbric equa- tions 7.	4+2+x=8 6+x=8 6+x-6=8	6 show the ratio of two polynomials. It means both the nu- merator and denominator are po...
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Study Guide Precalculus
- Other • 157 pages • 2023
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About the Author 
Janet Lee Adams received a Bachelor of Arts in Mathematics 
(secondary education) from Asbury College in Wilmore, Kentucky; 
a Master of Science in Operations Research from the University of 
Kentucky in Lexington, Kentucky; and a Master of Arts in Teaching 
Mathematics, also from the University of Kentucky. She taught a 
variety of mathematics courses in high school for 15 years and 
currently teaches classes at the Pennsylvania State University, 
Worthington Scranton Campu...
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SMA 2101: CALCULUS
- Exam (elaborations) • 28 pages • 2022
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SMA 2101: CALCULUS I 
⃝c Francis O. Ochieng 
 
Department of Pure and Applied Mathematics 
Jomo Kenyatta University of Agriculture and Technology 
Course content 
• Trigonometric functions: addition, multiple angle and factor formulae. 
• Limits, continuity and differentiability. 
• Differentiation by first principles and by rule for x 
n 
(integral and fractional n), sums, products, 
quotients, chain rule, trigonometric, logarithmic and exponential functions of a single variable. 
Param...
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Calculus Challenges: Mastering Series and Integration
- Summary • 7 pages • 2023
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n this comprehensive collection, we delve into the fundamental concepts of calculus, focusing on series and integration. Whether you are a seasoned mathematician or an enthusiastic learner, this text offers a rigorous set of exercises to sharpen your skills and deepen your understanding of calculus. 
 
With a careful selection of 180 exercises across various sections, we explore essential topics such as the Disk and Washer Methods, Arc Length, Trigonometric Integrals, and more. Dive into the int...
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AP Calculus AB/BC Unit 4 Notes/Practice Problems- Derivatives and Its Applications
- Lecture notes • 16 pages • 2024
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Master AP Calculus BC with ease using our Unit 4 notes, focused on Integration Techniques and Applications. These notes provide a clear, step-by-step approach to understanding advanced integration methods, including integration by parts, partial fractions, and trigonometric substitution. Packed with detailed explanations, solved examples, and practice problems, our notes are designed to simplify these challenging concepts and enhance your problem-solving skills. Perfect for exam preparation or d...
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MDM2D Notes Review
- Summary • 13 pages • 2024
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Grade 10 Academic Mathematics in Ontario typically covers a range of fundamental mathematical concepts and skills. Here’s a description of what you might find in Grade 10 Academic Math notes in Ontario: 
 
 
 
Algebra: Detailed explanations and examples covering operations with algebraic expressions, solving equations (linear, quadratic), and applications of algebra in real-world scenarios. 
 
 
 
Linear Systems: Methods for solving systems of linear equations, including graphing, substitution...
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