Basic Fundamentals

Duration: 17 min

This video lesson is available to enrolled students.

Return to /learn/BIHAR-STET-COMPUTER-SCIENCE-COMPLETE-COURSE/mathematical-aptitude/trigonometry/basics-of-trigonometry-foundation/asset-basic-fundamentals after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About the course: About the Course
  2. Mathematical Aptitude: Number System, HCF LCM, Divisibility Rules, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Time and Work, Mensuration and Geometry, Simple Interest and Compound Interest, Speed Time and Distance, Age Problems, Mixture and Alligation, Algebra, Powers and Exponents (Surds and Indices), Pipe and Cistern, Trigonometry, Statistics, Data Interpretation, Arithmetic
  3. Logical Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Analogy, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Seating Arrangements, Syllogisms, Venn Diagram, Puzzle Solving (Puzzles), Logical Sequence Of Words, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Analytical Reasoning (Counting Figures Reasoning), Cubes & Dices, Calendar, Clock
  4. General Knowledge: Physics, Chemistry, Biology, History, Geography, Polity, Indian Economy, GK- Current Affairs, Static General Knowledge
  5. Art of Teaching: Nature, Objectives & Characteristics of Teaching, Learners & Learning Process, Factors Affecting Teaching, Methods of Teaching, Classroom Management & Communication, Teaching-Learning Aids & ICT Integration, Evaluation, Assessment & Measurement, Professional Development & Ethics, Policies, Acts & Contemporary Issues, Curriculum & School Environment, Guidance, Counselling & Mental Health, Inclusive Education & Special Needs, Micro-Teaching & Teaching Skills, Lesson Planning
  6. Environmental Science: Environment
  7. Unit 1 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  8. Unit 2 | COA: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Programming the Basic Computer
  9. Unit 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  10. Unit 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  11. Unit 4 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  12. Unit 5 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management
  13. Unit 6 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Transaction Management, Concurrency Control
  14. Unit 7 | Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer
  15. Unit 8 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  16. Unit 9 | Object Oriented Programming: OOPS with C++
  17. Unit 10 | Web Development: HTML Basics, CSS, JavaScript-Basics, XML
  18. Unit 11 | Theory Of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines
  19. Unit 12 | IoT: Emerging Tech Trends, Cloud Computing
  20. Unit 13 | Artificial Intelligence: Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms
  21. Unit 14 | E-Commerce: Electronic Data Interchange and E-Commerce, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Physical Security and Cryptography Basics, Cyber Safety and Security
  22. Unit 15 | Multimedia: Multimedia
  23. Unit 16 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis, DSA using Python
  24. Full Length Mock Tests — General Paper:
  25. Full Length Mock Tests — Computer Science (Paper II):
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video provides a comprehensive introduction to the basics of trigonometry. The lecture begins by defining trigonometry as the measurement of three sides of a triangle. It then introduces the fundamental concept of trigonometric ratios using a right-angled triangle, labeling the sides as perpendicular (P), base (B), and hypotenuse (H), and defining the ratios for sine (sin), cosine (cos), and tangent (tan) as P/H, B/H, and P/B respectively. The video also covers the reciprocal ratios: cosecant (cosec), secant (sec), and cotangent (cot), which are the inverses of sin, cos, and tan. A key part of the lesson is the presentation of a table of trigonometric values for standard angles (0°, 30°, 45°, 60°, 90°), including sin, cos, tan, cot, sec, and cosec. The video concludes by introducing the three primary trigonometric identities: sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ, and 1 + cot²θ = cosec²θ, and explains how these ratios are used to define trigonometric functions for any angle.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide displaying 'TRIGONOMETRY' in yellow text. The instructor then begins the lesson by writing 'Basics of Trigonometry :' on the screen. He explains that trigonometry is the measurement of the three sides of a triangle, which is visually represented by drawing three horizontal lines to symbolize the three sides.

  2. 2:00 – 5:00 02:00-05:00

    The instructor draws a right-angled triangle and labels its sides: perpendicular (P), base (B), and hypotenuse (H). He then introduces the three primary trigonometric ratios: sinθ = P/H, cosθ = B/H, and tanθ = P/B. He writes these formulas on the screen and explains that these ratios are derived from the sides of the triangle.

  3. 5:00 – 10:00 05:00-10:00

    The video continues by introducing the reciprocal trigonometric ratios. The instructor writes the formulas for cosecθ = 1/sinθ = H/P, secθ = 1/cosθ = H/B, and cotθ = 1/tanθ = B/P. He also shows the relationships between the ratios, such as tanθ = sinθ/cosθ and cotθ = cosθ/sinθ, which are written in a box on the screen.

  4. 10:00 – 15:00 10:00-15:00

    A table titled 'Values at angles' is displayed, showing the values of sinθ, cosθ, tanθ, cotθ, secθ, and cosecθ for the standard angles 0°, 30°, 45°, 60°, and 90°. The instructor fills in the table step-by-step, starting with sinθ and cosθ, and then calculating the other ratios based on the values of sin and cos.

  5. 15:00 – 17:07 15:00-17:07

    The instructor introduces the three fundamental trigonometric identities: (1) sin²θ + cos²θ = 1, (2) 1 + tan²θ = sec²θ, and (3) 1 + cot²θ = cosec²θ. He explains that these identities are derived from the Pythagorean theorem and are used to relate the trigonometric ratios. The video concludes by showing how these ratios are used to define trigonometric functions for any angle.

The video provides a structured and logical progression of the fundamentals of trigonometry. It starts with the definition and core concept of measuring a triangle's sides, then builds upon this by introducing the six trigonometric ratios using a right-angled triangle as a visual aid. The lesson is reinforced with a detailed table of values for standard angles, which is essential for problem-solving. The final segment on trigonometric identities ties the concepts together, showing the relationships between the ratios and their applications. This comprehensive approach ensures a solid foundation for understanding trigonometric functions.

Loading lesson…