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In this video, we start Inverse Trigonometry Functions – Part 2 for NIMCET 2026 preparation. This session is specially designed for MCA aspirants who want to build strong fundamentals and score maximum marks in the mathematics section. 🔹 Topics Covered in This Lecture: • Basics of Trigonometric Functions • Domain & Range of Trigonometric Functions • Graph understanding (conceptual approach) • Important concepts asked in NIMCET previous year questions • Common mistakes & exam-oriented tips 🎯 Why this lecture is important for NIMCET 2026? Trigonometry is a high-weightage topic in NIMCET. A strong command over functions helps you solve questions faster and more accurately in the exam. 👨🎓 Who should watch this video? ✔ NIMCET 2026 Aspirants ✔ MCA Entrance Exam Students ✔ Students struggling with Trigonometry ✔ Beginners to advanced level learners 📌 Watch till the end for concept clarity + exam tricks. ------------------------------------------------------------------------ Timestamps- 0:00 introduction and Recap of Inverse Trigonometric Functions Part 1 3:05 Today's Objectives Properties of ITF and Problem Solving 4:32 Property 1: f⁻¹(f(x)) = x and the Bijectivity Constraint 6:05 Property 2: f(f⁻¹(x)) = x and its Domain constraints 6:59 Property 3: Handling Negative Arguments in ITF (Sin⁻¹(-x) vs. Cos⁻¹(-x)) 9:11 Property 4: Complementary Angles in ITF (Summation to π/2) 11:12 Property 5: Reciprocal Properties (Sin⁻¹ to Cosec⁻¹ and Tan⁻¹ to Cot⁻¹) 14:13 Property 6: Sum and Difference Formulas for Sin⁻¹ (x ± y) 17:35 Property 7: Sum and Difference Formulas for Cos⁻¹ (x ± y) 18:54 Property 8: Addition and Subtraction Formulas for Tan⁻¹ (x ± y) 21:55 Property 9: Double Angle and Triple Angle Formulas in ITF 26:38 Property 10: One Inverse to Another (The Right-Triangle Conversion Method) 29:07 Start of Problem Solving: High-Yield Practice Questions 31:40 Solving Q1: Using Method of Substitution (x = 0 substitution trick) 33:36 Solving Q2: Cos⁻¹(x) + Cos⁻¹(y) + Cos⁻¹(z) = π (Assuming values) 37:18 Solving Q3: Tan⁻¹ summation equal to π/2 (Logical value assignment) 40:24 Solving Q4: Complex algebraic expressions in Cos⁻¹ (Finding 'k') 45:01 Solving Q5: Variable expressions involving x, y, and z power 4 48:45 Solving Q6: Simplifying sin⁻¹(a) + sin⁻¹(b) + sin⁻¹(c) = π 52:19 Solving Q7: Tan⁻¹ expressions with k² constant (Value assignment: x=y=z=1) 55:53 Solving Q8: Advanced Tan summation with half-angles 1:00:35 Summary of Today's Concepts: Properties and Substitution Method ----------------------------------------- 📌Samarth NIMCET 3.0 2026: MCA https://physicswallah.onelink.me/ZAZB/pn8t4ez3 📌Samarth NIMCET Pro 2026: MCA https://physicswallah.onelink.me/ZAZB/u3lh4bwe 📌Samarth NIMCET 2.0 2026: MCA One link https://physicswallah.onelink.me/ZAZB/vz9z914e 📌Samarth NIMCET 2026: MCA https://physicswallah.onelink.me/ZAZB/xpcln4ig 📲 PW App: https://physicswallah.onelink.me/ZAZB/PWAppWEb 📚 PW Store: https://physicswallah.onelink.me/ZAZB/qqee0bv4 ------------------------------------------------------- 📌 𝐑𝐄𝐂𝐎𝐌𝐌𝐄𝐍𝐃𝐄𝐃 𝐂𝐇𝐀𝐍𝐍𝐄𝐋𝐒 𝐅𝐎𝐑 𝐘𝐎𝐔 - 🌐 Physics Wallah - Alakh Pandey: https://www.youtube.com/@PhysicsWallah 🌐 PW IIT JAM & CSIR NET: https://www.youtube.com/@pwiit-jam 🌐 PW UGC NET : https://www.youtube.com/@pwugcnet ------------------------------------------------------- 📌 PHYSICS WALLAH SOCIAL MEDIA - 🌐 Telegram: https://t.me/Physics_Wallah_Official_Channel 🌐 Instagram: https://www.instagram.com/physicswallah 🌐 Facebook: https://www.facebook.com/physicswallah 🌐 Twitter: https://www.twitter.com/physics__wallah 🌐 LinkedIn: https://www.linkedin.com/company/physicswallah 🌐 Quora: https://pwofficial.quora.com 📌 For any Queries or Complaints visit: https://bit.ly/PW_ Queries OR give a Missed Call on 07019-243-492 #NIMCET2026 #NIMCETPreparation #NIMCETMaths #NIMCETAspirants #nimcetexam #Trigonometry #TrigonometricRatios #TrigonometricFunctions #MathsForNIMCET #EngineeringMaths#MCAEntrance #MCAPreparation #MCA2026 #MathsConcepts #CompetitiveMaths NIMCET2026, NIMCETPreparation, NIMCETMaths, NIMCETAspirants, NIMCETExam, Trigonometry, TrigonometricRatios, TrigonometricFunctions, MathsForNIMCET, EngineeringMaths, MCAPreparation, MCAEntrance, MCA2026, CompetitiveMaths, MathsConcepts, OnlineClasses, MathsLecture, ExamPreparation, ConceptClarity, EducationReels