Class 12 Maths | Chapter 1 Exercise 1.2 Q.8 Solved | Inverse Hyperbolic Functions Formulas

Welcome to Salma Naseer's official channel! In this video, we continue our Class 12 Mathematics (2nd Year FSc/ICS) series on Chapter 1: "Functions and Limits." This lecture provides full proofs and step-by-step solutions for Exercise 1.2, Question 8 involving Inverse Hyperbolic Functions. 📌 Topics Covered in This Video: Proof of sinh⁻¹(x) = ln(x + √(x² + 1)) Proof of cosh⁻¹(x) = ln(x + √(x² - 1)) Proof of tanh⁻¹(x) = ½ ln((1 + x) / (1 - x)) Step-by-step algebraic derivations for Class 12 board examinations 🎓 Instructor: Dr. Salma Naseer (PhD Scholar in Mathematics) provides structured, easy-to-follow math tutorials to help students excel in board examinations and entry tests. 🔔 Don't forget to LIKE, SHARE, and SUBSCRIBE for complete chapter-wise lectures and step-by-step math guides! #Class12Maths #2ndYearMath #DrSalmaNaseer #Exercise1_2 #InverseHyperbolicFunctions #FunctionsAndLimits #FScMaths #PunjabBoardMaths