14. Inverse Trigonometric Functions and Their Derivatives

  1. Ulrich L. Rohde1,2,
  2. G. C. Jain3,
  3. Ajay K. Poddar2 and
  4. A. K. Ghosh4

Published Online: 28 DEC 2011

DOI: 10.1002/9781118130155.ch14

Introduction to Differential Calculus: Systematic Studies with Engineering Applications for Beginners

Introduction to Differential Calculus: Systematic Studies with Engineering Applications for Beginners

How to Cite

Rohde, U. L., Jain, G. C., Poddar, A. K. and Ghosh, A. K. (2011) Inverse Trigonometric Functions and Their Derivatives, in Introduction to Differential Calculus: Systematic Studies with Engineering Applications for Beginners, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118130155.ch14

Author Information

  1. 1

    BTU Cottbus, Germany

  2. 2

    Synergy Microwave Corporation, Paterson, NJ, USA

  3. 3

    Defense Research & Development Organization, Maharashtra, India

  4. 4

    Department of Aerospace Engineering, Indian Institute of Technology – Kanpur, Kanpur, India

Publication History

  1. Published Online: 28 DEC 2011
  2. Published Print: 9 DEC 2011

ISBN Information

Print ISBN: 9781118117750

Online ISBN: 9781118130155

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Keywords:

  • inverse trigonometric functions, inverse cosine function;
  • trigonometric functions and their inverses;
  • sets of results, simplifying inverse trigonometric functions

Summary

This chapter contains sections titled:

  • Introduction

  • Trigonometric Functions (With Restricted Domains) and Their Inverses

  • The Inverse Cosine Function

  • The Inverse Tangent Function

  • Definition of the Inverse Cotangent Function

  • Formula for the Derivative of Inverse Secant Function

  • Formula for the Derivative of Inverse Cosecant Function

  • Important Sets of Results and their Applications

  • Application of Trigonometric Identities in Simplification of Functions and Evaluation of Derivatives of Functions Involving Inverse Trigonometric Functions