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Dr. Sachin Kaushal, Lovely Professional University Unit 1: Trigonometric Functions-I

Unit 1: Trigonometric Functions-I Notes

CONTENTS
Objectives
Introduction
1.1 Trigonometric Coordinates
1.2 Trigonometric Function

1.2.1 Reciprocal Ratio
1.2.2 Rotations of Angles

1.3 Sines and Cosines Defined
1.3.1 The Graphs of the Sine and Cosine Functions

1.3.2 The Graphs of the Tangent and Cotangent Functions
1.3.3 The Graphs of the Secant and Cosecant Functions
1.3.4 Domain and Range of Trigonometric Functions
1.4 Inverse Trigonometric Functions
1.4.1 The Arcsine Function

1.4.2 The Arccos Function
1.4.3 The Arctan Function
1.4.4 The Arccot Function
1.5 Summary

1.6 Self Assessment
1.7 Review Questions
1.8 Further Readings

Objectives

After studying this unit, you will be able to:

Define trigonometeric functions of a real number
Draw the graphs of trigonometeric functions

Interpret the graphs of trigonometeric functions

Introduction

Trigonometry is a branch of mathematics that deals with triangles, circles, oscillations and waves;
it is totally crucial to much of geometry and physics. You will often hear it described as if it was
all about triangles, but it is a lot more exciting than that. For one thing, it works with all angles,
not just triangles. For another, it describes the behaviour of waves and resonance, which are at
the root of how matter works at the most basic level. They are behind how sound and light move,
and there are reasons to suspect they are involved in our perception of beauty and other facets of
how our minds work, so trigonometry turns out to be fundamental to pretty much everything.

LOVELY PROFESSIONAL UNIVERSITY 1