Cambridge 3 Unit Mathematics Year 12 Enhanced Version

Preliminary Pages
Contents
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 Sum of 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 - Further Work 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
	10E - Counting Ordered Selections
	10F - Counting with Identical Elements, and Cases
	10G  - Counting Unordered Selections
	10G - Counting Unordered Selections
	10H - Using counting in probability
	10I - Arrangements in a Circle
	10J - Binomial Probability
Answers
	Chapter 1
		Exercise 1A
		Exercise 1B
		Exercise 1C
		Exercise 1D
		Exercise 1E
		Exercise 1F
	Chapter 2
		Exercise 2A
		Exercise 2B
		Exercise 2C
		Exercise 2D
		Exercise 2E
		Exercise 2F
		Exercise 2G
	Chapter 3
		Exercise 3A
		Exercise 3B
		Exercise 3C
		Exercise 3D
		Exercise 3E
		Exercise 3F
		Exercise 3G
		Exercise 3H
	Chapter 4
		Exercise 4A
		Exercise 4B
		Exercise 4C
		Exercise 4D
		Exercise 4E
		Exercise 4F
		Exercise 4G
	Chapter 5
		Exercise 5A
		Exercise 5B
		Exercise 5C
		Exercise 5D
		Exercise 5E
		Exercise 5F
	Chapter 6
		Exercise 6A
		Exercise 6B
		Exercise 6C
		Exercise 6D
		Exercise 6E
		Exercise 6F
	Chapter 7
		Exercise 7A
		Exercise 7B
		Exercise 7C
		Exercise 7D
		Exercise 7E
		Exercise 7F
		Exercise 7G
		Exercise 7H
	Chapter 8
		Exercise 8A
		Exercise 8B
		Exercise 8C
		Exercise 8D
		Exercise 8E
		Exercise 8F
		Exercise 8G
		Exercise 8H
		Exercise 8I
	Chapter 9
		Exercise 9A
		Exercise 9B
		Exercise 9C
		Exercise 9D
		Exercise 9E
		Exercise 9F
		Exercise 9G
	Chapter 10
		Exercise 10A
		Exercise 10B
		Exercise 10C
		Exercise 10D
		Exercise 10E
		Exercise 10F
		Exercise 10G.)
		Exercise 10G
		Exercise 10H
		Exercise 10I
		Exercise 10J
Index