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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
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Introduction
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The Inverse Sine Function
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The Inverse Cosine Function
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Inverse Tangent Function
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Inverse Cotangent, Scant and Coscant Functions
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Domains and Ranges of Principal Trigonometric Function and Inverse Functions
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Addition and Subtraction Formulas
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Table of Contents
Some important formulas
- sin−1A+sin−1B=sin−1(A√1−B2+B√1−A2)sin−1A+sin−1B=sin−1(A1−B2+B1−A2)
- sin−1A−sin−1B=sin−1(A√1−B2−B√1−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))
- 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−ABtan−1A+tan−1B=tan−1A+B1−AB
- tan−1A−tan−1B=tan−1A−B1+AB