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Mathematics and Statistics

Elements of Trigonometry

Elements of Trigonometry

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This book introduces trigonometry, including triangles, square roots, and the Pythagorean Theorem, with problem solving techniques and many examples. Includes concepts that have both a geometric and an algebraic component. This book is to prepare you for a course in calculus by directing your attention away from particular values of a function to a study of the function as an object in itself.

Trigonometry, the branch of mathematics that describes the relationship between the angles and lengths of a triangle, was originally developed thousands of years ago. It may seem at times that trigonometry is never used outside the class room. However, you may be surprised to learn how often applications of trigonometry are encountered in the real world.

Trigonometry is applied in the real world in many areas, such as architecture, engineering, astronomy, geography, physical and social sciences, surveying and navigation, highlighting the importance of the subject from colonial times to the modern world.

In the classroom, many students fail to see how simple trigonometric ideas, such as measuring angles of a triangle, can be applied to real life situations. Moreover, there is a lack of knowledge as to where these ideas come from. Rather than incorporating trigonometric concepts with its predecessors, algebra and geometry, it is often introduced as a separate unit in the mathematical world of knowledge. As a result of having no connection to previously acquired mathematical awareness, students are bemused by the particulars and use of the, not only in mathematics, but also in everyday life.

Perhaps by providing a concise insight into where these concepts come from, how they were discovered, and how their uses in the past relate to how they are presently used and taught, may offer students the understanding they need to put these concepts into use. With this improved insight, one would be able to see the value of studying trigonometry as an element of mathematics, instead of an isolated unit from the subject.
This book aims to help readers understand the wonderful world of Trigonometry, and to enlighten them on how this subject’s worth in real world problems.

Dr Maria Tattaris

Dr Maria Tattaris

Maria Tattaris has a background in Mathematics and a PhD in remote sensing within the area of atmospheric sciences, awarded in 2012. Her interests include field spectroscopy, image processing, spectral analysis, field data collection, and investigating new data analysis methods for remote sensing techniques, all within the areas of environmental, plant, atmospheric and related sciences.