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Curated by: PW NIMCET (63 videos)
In this video, we start Inverse Trigonometry Functions – Part 1 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 to Inverse Trigonometric Functions (ITF) 1:52 Session Objectives: Basic Functions, Bijectivity, Domain & Range 4:48 Basic Function Concepts: Domain, Co-domain, and Range 9:10 Types of Functions: One-One (Injective) vs. Many-One 11:32 Understanding Onto (Surjective) and Into Functions 13:16 Bijective Functions: The key to Inverse Existence 17:41 Making Trigonometric Functions Bijective for ITF 21:58 Principal Value Intervals: Sin, Cos, Tan, Cot, Sec, Cosec 28:14 Defining Inverse Trigonometric Functions (Angle vs. Value) 32:23 Master Table: Domain and Range of all ITF Functions 35:15 Graphical Analysis of y = sin⁻¹(x) 36:44 Graphical Analysis of y = cos⁻¹(x) 38:14 Graphical Analysis of y = tan⁻¹(x) 39:37 Graphical Analysis of y = cot⁻¹(x) 40:47 Graphical Analysis of y = cosec⁻¹(x) and y = sec⁻¹(x) 44:07 Property 1: f(f⁻¹(x)) = x and its domain constraints 47:19 Property 2: f⁻¹(f(x)) = x and the Principal Value Branch 53:06 Solving sin⁻¹(sin x) for values outside the principal range 58:22 Analyzing cos⁻¹(cos x) graphs and periodic nature 1:00:12 Practice Problems: Applying ITF Property 1 1:04:08 Solving cos⁻¹(λ) + cos⁻¹(μ) + cos⁻¹(γ) = 3π 1:05:30 Correcting common mistakes in cos⁻¹(cos 7π/6) 1:08:49 Summary & Conclusion ----------------------------------------- 📌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