A place for maths teachers, just like *you*, to share original resources.

A collection of workbooks for the Mathematics Extension 1 course (NSW).

The *showcloze* version is the teacher version.

7 March 2017: Inverse functions & inverse trigonometric functions updated.

9 December 2016: Topic 7 Induction updated and* *teacher version added.

26 November 2016 Edit: 5 October 2018

Shared by **Hubert Lam**
Sydney Area, Australia

This resource has been shared under a Creative Commons license:

**Attribution-Share Alike **

**PDF**

- Topics:
- Advanced, Combinations and Permutations, Parametrics, Polynomials, The Binomial Theorem, Measurement, Trigonometry

- Resource Type:
- Booklet, Student Booklet

- NSW Stage 6 Mathematics and Extension 1:
- 5 Trigonometric Ratios – Review and Some Preliminary Results, 5.6 E Harder applications of 5.3, 5.4 and 5.5., 5.7 E Trigonometric functions of sums and differences of angles., 5.8 E Expressions for sin q, cos q and tan q in terms of tan ( )., 5.9 E Simple trigonometric identities and equations. The general solution of trigonometric equations, 7 Series and Applications, 7.4 E Mathematical induction. Applications., 9 The Quadratic Polynomial and the Parabola, 9.6 E Parametric representation. Applications to problems concerned with tangents, normals an…, 15 E Inverse Functions and the Inverse Trigonometric Functions, 15.1 E Discussion of inverse function. The functions y = logax and y = ax as inverse functio…, 15.2 E The inverse trigonometric functions., 15.3 E The graphs of sin–1x, cos–1x, tan–1x., 15.4 E Simple properties of the inverse trigonometric functions., 15.5 E The derivatives of sin–1(x/a), cos–1(x/a), tan–1(x/a), and the corre…, 16 E Polynomials, 16.1 E Definitions of polynomial, deg…, 16.2 E The remainder and factor theorems., 16.3 E The roots and coefficients of a polynomial equation., 16.4 E Iterative methods for numerical estimation of the roots of a polynomial equation, 17 E Binomial Theorem, 17.1 E Expansion of (1 + x)^n for n = 2,3,4,…. Pascal Triangle. Proof of the Pascal Tri…, 17.2 E Proof by Mathematical Induction of the formula for nCk, 17.3 E Finite series and further properties of binomial coefficients., 18 E Permutations, Combinations and Further Probability, 18.1 E Permutations and combinations, 18.2 E Binomial probabilities and the binomial distribution.

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