Trigonometric Study guides, Class notes & Summaries
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![OCR 2023 GCE MATHEMATICS A H240/02: PURE MATHEMATICS AND STATISTICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)](/docpics/5238676/663c329d92923_5238676_121_171.jpeg)
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OCR 2023 GCE MATHEMATICS A H240/02: PURE MATHEMATICS AND STATISTICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Exam (elaborations) • 63 pages • 2024
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2 
© OCR 2023 H240/02 Jun23 
^ h 
= 
n+1 
2 
n 2 2 
L P 
2! r! 
dx dx 
Formulae 
A Level Mathematics A (H240) 
Arithmetic series 
S = 
1 
n^a + lh = 
1 
n"2a +^n - 1hd, 
Geometric series 
Sn 
= 
a 1-r 
n 
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 
J 
n 
N n! 
where Cr 
= n 
Cr 
= K 
r 
O = 
r!^n -rh! 
^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 
Differentiati...
![University of Central Florida - MAC 1114C - 5.4 More Trigonometric Graphs Notes - Kwon](/docpics/3717106/653d6f26edfe5_3717106_121_171.jpeg)
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University of Central Florida - MAC 1114C - 5.4 More Trigonometric Graphs Notes - Kwon
- Class notes • 7 pages • 2023
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UCF MAC 1114C Fall 2023 Professor Kwon 
 
Covers: 
- Graph of tangent 
- Domain and range of tangent 
- Period of tangent function 
- Odd function property 
- Vertical asymptotes and zeros 
- Graph of cotangent 
- Domain and range of cotangent 
- Vertical asymptotoes of cotangent 
- Period of cotangent 
- Graph of secant 
- Domain and range of secant 
- Vertical asymptotoes of secant 
- Period of secant 
- Graph of cosecant 
- Domain and range of cosecant 
- Vertical asymptotoes of cosecant 
- P...
![University of Central Florida - MAC 1114C - 5.4 More Trigonometric Graphs Notes - Kwon](/docpics/3532821/6518734795c8c_3532821_121_171.jpeg)
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University of Central Florida - MAC 1114C - 5.4 More Trigonometric Graphs Notes - Kwon
- Class notes • 7 pages • 2023
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- $3.99
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UCF MAC 1114C Fall 2023 Professor Kwon 
 
Covers: 
- Graph of tangent 
- Domain and range of tangent 
- Period of tangent 
- Odd function property 
- Vertical asymptotes 
- Graph of cotangent 
- Domain and range of cotangent 
- Period of cotangent 
- Graph of secant 
- Domain and range of secant 
- Period of secant 
- Graph of cosecant 
- Domain and range of cosecant 
- Period of cosecant 
- Example problems + solving solutions
![University of Central Florida - MAC 1114C - 7.1 Trigonometric Identities Notes - Kwon](/docpics/3717029/653d6c5364470_3717029_121_171.jpeg)
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University of Central Florida - MAC 1114C - 7.1 Trigonometric Identities Notes - Kwon
- Class notes • 3 pages • 2023
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UCF MAC 1114C Fall 2023 Professor Kwon 
 
Covers: 
- Reciprocal Identities 
- Pythagorean Identities 
- Even-odd identities 
- Trigonometric substitution 
- Example problems + solving solutions
![Trigonometric Ratios Assignment Updated Questions with 100% Correct Answers | Latest & Verified](/docpics/4879322/6608ce325540d_4879322_121_171.jpeg)
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Trigonometric Ratios Assignment Updated Questions with 100% Correct Answers | Latest & Verified
- Exam (elaborations) • 2 pages • 2024
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Consider △LNM. 
Which statements are true for triangle LNM? Check all that apply. 
The side opposite ∠L is NM. 
The side opposite ∠N is ML. 
The hypotenuse is NM. 
The hypotenuse is LN. 
The side adjacent ∠L is NM. 
The side adjacent ∠N is ML. - CORRECT ANSWER-The side opposite ∠L is NM 
The side opposite ∠N is ML 
The hypotenuse is LN. 
Identify the triangle that contains an acute angle for which the sine and cosine ratios are 
equal. - CORRECT ANSWER-B 
What are the values of the...
UCF MAC 1114C Fall 2023 Professor Kwon 
 
Many examples
![Trigonometric Formula Sheet Definition of the Trig Functions](/docpics/4867459/6606afda71b06_4867459_121_171.jpeg)
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Trigonometric Formula Sheet Definition of the Trig Functions
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Formula Sheet 
Definition of the Trig Functions 
 
 
Right Triangle Definition 
Assume that: 
 
Unit Circle Definition 
Assume θ can be any angle. 
 
0 < θ < π 
 
or 0◦ < θ < 90◦ 
y 
 
 
 
 
 
hypotenuse 
 
 
θ 
adjacent 
 
opposite	x 
 
 
sin θ =	opp 
 
hyp	csc θ =	hyp 
 
opp	 
sin θ =	y 
 
1	 
csc θ =	1 
 
y 
cos θ =	adj 
 
hyp	sec θ =	hyp 
 
adj	cos θ =	x 
 
1	sec θ =	1 
 
x 
tan θ =	opp 
 
adj	cot θ =	adj 
 
opp	tan θ =	y 
 
x	cot θ =	x 
 ...
![Test Banks For Essential Calculus 2nd Edition by James Stewart, 9781133112297, Chapter 1-13 Complete Guide](/docpics/63c8104339301_2271637.jpg)
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Test Banks For Essential Calculus 2nd Edition by James Stewart, 9781133112297, Chapter 1-13 Complete Guide
- Exam (elaborations) • 298 pages • 2023
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Essential Calculus 2nd Edition 
 
2297 
 
0875 
 
0, 3, 4, 0, 2467, 3011, 9067, 6609 
 
1: Functions and Limits 
 
1.1: Functions and Their Representations 
 
1.2: A Catalog of Essential Functions 
 
1.3: The Limit of a Function 
 
1.4: Calculating Limits 
 
1.5: Continuity 
 
1.6: Limits Involving Infinity 
 
2: Derivatives 
 
2.1: Derivatives and Rates of Change 
 
2.2: The Derivative as a Function 
 
2.3: Basic Differentiation Formulas 
 
2.4: The Product and Quotient Rules 
 
2.5: The Chain ...
![Finite Mathematics and Applied Calculus 8th Edition by Stefan Steven TEST BANK](/docpics/5077583/6626ba91c5b1f_5077583_121_171.jpeg)
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Finite Mathematics and Applied Calculus 8th Edition by Stefan Steven TEST BANK
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TEST BANK for Finite Mathematics and Applied Calculus 8th Edition by Stefan Waner; Steven Costenoble. 
 
TABLE OF CONTENTS 
 
CHAPTER 1: Functions and Applications 
 
CHAPTER 2: Nonlinear Functions and Models 
 
CHAPTER 3: Mathematics of Finance 
 
CHAPTER 4: Systems of Linear Equations and Matrices 
 
CHAPTER 5: Matrix Algebra 
 
CHAPTER 6: Linear Programming 
 
CHAPTER 7: Sets and Counting 
 
CHAPTER 8: Probability 
 
CHAPTER 9: Random Variables and Statistics 
 
CHAPTER 10: Introduction to th...
![Solutions for Algebra and Trigonometry, 5th Edition by James Stewart](/docpics/3529622/6517ab93ed67a_3529622_121_171.jpeg)
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Solutions for Algebra and Trigonometry, 5th Edition by James Stewart
- Exam (elaborations) • 952 pages • 2023
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Complete Solutions Manual for Algebra and Trigonometry 5e 5th Edition by James Stewart, Lothar Redlin, Saleem Watso. Full Chapters Solutions are included - Chapter 1 to 13 
 
P. PREREQUISITES. 
Chapter Overview. P1. Modeling the Real-World with Algebra. P2. The Real Numbers. P3. Integer Exponents and Scientific Notation. P4. Rational Exponents and Radicals. P5. Algebraic Expressions. P6. Factoring. P7. Rational Expressions. P8. Solving Basic Equations. P9. Modeling with Equations. Chapter P Revi...
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