Chapter 13: Inverse Trigonometric Functions

Notes (Solutions) of Chapter 13: Inverse Trigonometric Functions, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

Contents & summary

  • Introduction
  • The Inverse Sine Function
  • The Inverse Cosine Function
  • Inverse Tangent Function
  • Inverse Cotangent, Scant and Coscant Functions
  • Domains and Ranges of Principal Trigonometric Function and Inverse Functions
  • Addition and Subtraction Formulas

Table of Contents

Some important formulas

  • sin−1A+sin−1B=sin−1(A1−B2+B1−A2)
  • sin−1A−sin−1B=sin−1(A1−B2−B1−A2)
  • cos−1A+cos−1B=cos−1(AB−(1−A2)(1−B2))
  • cos−1A−cos−1B=cos−1(AB+(1−A2)(1−B2))
  • tan−1A+tan−1B=tan−1A+B1−AB

Exercise 13.1

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Exercise 13.2

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