Chapter 14: Solutions of Trigonometric Equation
Notes (Solutions) of Chapter 14: Solutions of Trigonometric Equation, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.
Contents & summary
- Introduction
- Solution of General Trigonometric Equations
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