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Mathematics for Engineers
book

Mathematics for Engineers

by Ritu Shrivastava, Ramakant Bhardwaj, Satyendra Narayan
June 2025
Intermediate to advanced
576 pages
11h 26m
English
Wiley-Scrivener
Content preview from Mathematics for Engineers

7Trigonometry

A schematic diagram contains mathematical equations and concepts related to trigonometry and physics. It features the famous equation E equals mc2, along with other formulas and objectives for a chapter on right-angled triangles. The content outlines topics such as the Pythagorean theorem, and trigonometric ratios (sine, cosine, tangent).

Objectives: This chapter

  • Introduces terminology associated with a right-angled triangle
  • Explains the Pythagoras theorem for finding sides of a right-angled triangle
  • Defines the trigonometric ratios sine, cosine, and tangent to find angles and the sides of a Right-angled triangle.
  • Explains what is meant by trigonometric identities and gives a list of essential formulae
  • Explains the concept of the Radian measure to find arc length and the area of a sector
  • Introduces sine and cosine rules to find the trigonometric ratio to an angle greater than or less than 90°
  • Explains bearing problems

7.1 Introduction

Tri (three) Gono (angels) Metry (To measure)

An important area of mathematics called trigonometry examines how triangles’ sides and angles relate.

The word trigonometry comes from a 16th-century Latin derivative of the Greek words for the triangle (trigon) and measure (metron). In ancient times, the Greeks introduced trigonometry to answer questions like how far is it? And in what direction? Trigonometry deals with lines (which measure distance) and angles (which indicate direction).

Though the field emerged in Greece initially in the third century BC, the most critical developments and contributions (For example: the sine function) have come from India in the fifth century AD. It is unknown whether Indian scholars created trigonometry independently or under the ...

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Publisher Resources

ISBN: 9781394214587