Basic Fundamentals

Duration: 17 min

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Module outline

  1. Quantitative Aptitude: Number System, Divisibility Rules, HCF LCM, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Mixture and Alligation, Partnership, Age Problems, Time and Work, Pipe and Cistern, Speed Time and Distance, Algebra, Arithmetic, Data Interpretation, Sequence and Series (Series), Logarithm, Powers and Exponents (Surds and Indices), Permutation and Combination, Probability, Speed Mathematics and Basic Mathematics, Trigonometry
  2. Logical Reasoning: Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Seating Arrangements, Puzzle Solving (Puzzles), Data Arrangement, Syllogisms, Inequality, Data Sufficiency, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Venn Diagram, Logical Sequence Of Words, Calendar, Clock, Cubes & Dices, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning)
  3. Verbal Ability: Noun, Pronoun, Adjectives, Verb, Adverb, Tenses, Subject Verb Agreement (Verb Noun Agreement), Articles, Preposition, Conjunction, Modals, Determiner, Vocabulary, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Construction
  4. Data Structures (Domain Test): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  5. Algorithms (Domain Test): Algorithm Analysis, Sorting Algorithms, Time Complexity Analysis, Greedy Algorithms
  6. OOPs (Domain Test): Object Oriented Programming (OOPS)
  7. DBMS (Domain Test): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
  8. SQL (Domain Test): SQL
  9. Operating Systems (Domain Test): Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
  10. Computer Networks (Domain Test): 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, Hardware basics, Network Security, Mobile Technology, Cloud Computing and IoT, Cyber and Info Security
  11. Coding: Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir
  12. Written English Test: English Writing Ability
  13. Psychometric Test: Behavioral Assessment (Behavioral Competency Profiling) (Psychometric Test)
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.

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