Page 23 - DMTH201_Basic Mathematics-1

Basic Mathematics – I Dr. Sachin Kaushal, Lovely Professional University

Notes Unit 2: Trigonometric Functions-II

CONTENTS
Objectives
Introduction
2.1 Computing Trigonometric Functions
2.1.1 Addition and Subtraction of Trigonometric Functions

2.1.2 Transformation of Products into Sums and Inverse
2.1.3 Trigonometric Functions of Multiples of Angles
2.1.4 Trigonometric Function of 3A in terms of A
2.2 Trigonometric Functions and Submultplication of Angles

2.3 Some Important Trigonometric Equations
2.4 Inverse of a Trigonometric Function
2.4.1 Possibility of Inverse of Every Function
2.4.2 Graphical Representation of Inverse of Trigonometric Function
2.5 Property of Inverse of Trigonometric Function

2.6 Derivatives of Exponential Functions
2.6.1 Derivatives of Logarithmic Functions
2.7 Summary
2.8 Self Assessment

2.9 Review Questions
2.10 Further Readings

Objectives

After studying this unit, you will be able to:
Discuss computing trignometeric functions
Explain transformations of products into sums and inverse
Discuss trignometric functions of multiples examples

Introduction

In last unit you have studied about the trigonometric functions. The inverse trigonometric
functions play an important role in calculus for they serve to define many integrals. The concepts of

inverse trigonometric functions is also used in science and engineering. The inverse trigonometric
–1
–1
–1
–1
functions are the inverse functions of the trigonometric functions, written cos , cot , csc , sec ,
–1
–1
sin and tan . The inverse trig functions are similar to any other inverse functions. In this unit we
will study about computing different tignomatric functions and transformation of products into
sums and inverse.

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