Topic 3 - Circular Functions and Trigonometry (16 hours)
The aims of this topic are to explore the circular functions and to solve problems using trigonometry. On examination papers, radian measure should be assumed unless otherwise indicated.
Circular Functions & Trigonometry - What You Should Know
The document "trigonometry_-_what_you_should_know" below is where you will find key descriptions of the content of Circular Functions and Trigonoemtry. The document outlines the mathematical concepts that make up the content of the topic. Some examples are provided that illustrate how these concepts have been presented in past exams, along with some commentary towards a solution to the example. There is also some "Be prepared" comments that focus your attention on common issues to help you prepare more thoroughly.
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Circular Trigonometry Study Workbook
The file "topic_3_-_circular_trigonometry_study_review.pdf" is a workbook that comprises of study tips, common mistakes that students make, and practice problems - with solutions. Students should use this workbook as a supplemental resource to their textbook.
Radians, Arcs and Sectors Worksheet B
Radians, Arcs and Sectors Worksheet C
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Special Values of the Trigonometric Functions
The Unit Circle
Double Angle Identities
Trigonometric Ratios and Graphs
Investigating Properties of Trigonometrical Graphs
Trigonometry - Circular Functions
Fitting Sinusoidal Curves to Data
Trigonometric Functions Quiz
The Ambiguous Case
In part (a) no solution is possible, since side a is too short to complete the triangle. In part (b) the solution is a right triangle. In part (c) two solutions are possible, and in part (d) there is a unique triangle with the given properties.
Trigonometry - Further Questions
Mixed Exam-Style Questions on Trigonometry
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