Limits of Trigonometric Functions | Exercise 1.2 Part-1 | Math-II | BCA 2nd Semester #bca #maths #1m

📘 BCA Nepal | Mathematics-II | 2nd Semester Welcome to Exercise 1.2 Part-1 from Chapter 1: Limit and Continuity. In this video, we solve the first set of questions from Exercise 1.2 based on Limits of Trigonometric Functions. Each problem is explained step-by-step using standard trigonometric limits and important trigonometric identities. This lecture is highly useful for BCA students preparing for semester examinations, assignments, class tests, and concept revision. 📌 Questions Covered: ✔ Question 1 to Question 11 📌 Topics Covered: • Limits of Trigonometric Functions • Standard Trigonometric Limits • Trigonometric Identities • Sum and Difference Formulas • Double Angle Formulas • Rationalization and Simplification Techniques • Step-by-Step Solutions • Exam-Oriented Questions 📌 Important Trigonometric Identities Used sin(A + B) = sinA cosB + cosA sinB sin(A − B) = sinA cosB − cosA sinB cos(A + B) = cosA cosB − sinA sinB cos(A − B) = cosA cosB + sinA sinB sinC + sinD = 2sin[(C + D)/2]cos[(C − D)/2] sinC − sinD = 2cos[(C + D)/2]sin[(C − D)/2] cosC + cosD = 2cos[(C + D)/2]cos[(C − D)/2] cosC − cosD = −2sin[(C + D)/2]sin[(C − D)/2] sin2A = 2sinA cosA cos2A = cos²A − sin²A cos2A = 2cos²A − 1 cos2A = 1 − 2sin²A 1 − cosA = 2sin²(A/2) 1 + cosA = 2cos²(A/2) 📌 Standard Limits Used lim(x→0) (sinx/x) = 1 lim(x→0) (tanx/x) = 1 lim(x→0) ((1 − cosx)/x²) = 1/2 🎯 Useful For: • BCA 2nd Semester Students • TU Examination Preparation • Assignment and Class Test Preparation • Mathematics-II Revision • Concept Building in Limits 📚 Subject: Mathematics-II 🎓 Program: BCA 🏫 University: Tribhuvan University (TU) ⚠️ Copyright Notice This educational content is created and published by BCA Nepal. All notes, explanations, solutions, video lectures, thumbnails, and educational materials are the intellectual property of BCA Nepal. Re-uploading, reproducing, redistributing, modifying, or using this content without permission is strictly prohibited. Any unauthorized use of this content may result in copyright action. © BCA Nepal. All Rights Reserved. #BCANepal #MathII #Exercise12 #TrigonometricLimits #LimitAndContinuity #BCA2ndSemester #BCAMath #TribhuvanUniversity #Mathematics #Trigonometry #ExamPreparation #BCA