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# Cambridge 3 Unit Mathematics Year 12 Enhanced Version

### Paperback

Published: 25th July 2012
For Ages: 16 - 17 years old
In Stock. Ships today or next business day from Australia
RRP \$65.95
\$56.25
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Cambridge Mathematics 3 Unit Year 12 Enhanced Version includes the print textbook plus access to the Interactive Textbook and the PDF Textbook to provide flexible and innovative digital resourcing options for class and home use.

* The Interactive Textbook is an HTML version of the student text, designed to enhance teaching and learning in a digital environment.

It includes:

• pop-up answers
• links from within the Interactive Textbook to objective-response (multiple-choice) quizzes
• links from within the Interactive Textbook to the Cambridge Technology in Maths (TiM) website, which provides additional technology activities.

*Usually available for purchase separately, for a limited time the Interactive Textbook is included at no extra cost with Cambridge Mathematics 3 Unit Year 12 Enhanced Version.

• Chapter 1. The Inverse Trigonometric Functions
1A Restricting the Domain
1B Defining the Inverse Trigonometric Functions
1C Graphs Involving Inverse Trigonometric Functions
1D Differentiation
1E Integration
1F General Solutions of Trigonometric Equations

Chapter 2. Further Trigonometry
2A Trigonometric Identities
2B The t-Formulae
2C Applications of Trigonometric Identities
2D Trigonometric Equations
2E The Sumof Sine and Cosine Functions
2F Extension—Products to Sums and Sums to Products
2G Three-Dimensional Trigonometry
2H Further Three-Dimensional Trigonometry

Chapter 3. Motion
3A Average Velocity and Speed
3B Velocity and Acceleration as Derivatives
3C Integrating with Respect to Time
3D Simple Harmonic Motion—The Time Equations
3E Motion Using Functions of Displacement
3F Simple Harmonic Motion — The Differential Equation
3G Projectile Motion — The Time Equations
3H Projectile Motion—The Equation of Path

Chapter 4. Polynomial Functions
4A The Language of Polynomials .
4B Graphs of Polynomial Functions .
4C Division of Polynomials
4D The Remainder and Factor Theorems
4E Consequences of the Factor Theorem
4F The Zeroes and the Coefficients
4G Geometry using Polynomial Techniques

Chapter 5. The Binomial Theorem
5A The Pascal Triangle
5B FurtherWork with the Pascal Triangle
5C Factorial Notation
5D The Binomial Theorem
5E Greatest Coefficient and Greatest Term
5F Identities on the Binomial Coefficients

Chapter 6. Further Calculus
6A Differentiation of the Six Trigonometric Functions
6B Integration Using the Six Trigonometric Functions
6C Integration by Substitution
6D Further Integration by Substitution
6E Approximate Solutions and Newton’s Method
6F Inequalities and Limits Revisited

Chapter 7. Rates and Finance
7A Applications of APs and GPs
7B Simple and Compound Interest
7C Investing Money by Regular Instalments
7D Paying Off a Loan
7E Rates of Change — Differentiating
7F Rates of Change—Integrating
7G Natural Growth and Decay
7H Modified Natural Growth and Decay

Chapter 8. Euclidean Geometry
8A Points, Lines, Parallels and Angles
8B Angles in Triangles and Polygons
8C Congruence and Special Triangles
8D Trapezia and Parallelograms
8E Rhombuses, Rectangles and Squares
8F Areas of Plane Figures
8G Pythagoras’ Theorem and its Converse
8H Similarity
8I Intercepts on Tranversals

Chapter 9. Circle Geometry
9A Circles, Chords and Arcs
9B Angles at the Centre and Circumference
9C Angles on the Same and Opposite Arcs
9D Concyclic Points
9E Tangents and Radii
9F The Alternate Segment Theorem
9G Similarity and Circles

Chapter 10. Probability and Counting
10A Probability and Sample Spaces
10B Probability and Venn Diagrams
10C Multi-Stage Experiments
10D Probability Tree Diagrams
10E Counting Ordered Selections
10F Counting with Identical Elements, and Cases
10G Counting Unordered Selections
10H Using Counting in Probability
10I Arrangements in a Circle
10J Binomial Probability

Answers to Exercises
Index

ISBN: 9781107616042
ISBN-10: 1107616042
Series: Cambridge Secondary Maths (Australia)
Audience: Primary / High School
For Ages: 16 - 17 years old
For Grades: 12
Format: Paperback
Language: English
Number Of Pages: 432
Published: 25th July 2012
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 28.0 x 21.0  x 2.0
Weight (kg): 1.29
Edition Number: 2
Edition Type: Revised