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
- Exercise 13.1
- Addition and Subtraction Formulas
- Exercise 13.2
Some important formulas
- sin−1A+sin−1B=sin−1(A√1−B2+B√1−A2)
- sin−1A−sin−1B=sin−1(A√1−B2−B√1−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
- tan−1A−tan−1B=tan−1A−B1+AB
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Short Questions
The following short questions was send by Mr. Akhtar Abbas.
