Trigonometry and Vectors with Applications in Physics

Trigonometry and Vectors with Applications in Physics

Author(s): Rubik Yegoryan , Hayk Yegoryan

Summary:

This book can be used at any university/college with Mathematics, Physics, Architecture, and Engineering departments or schools in the world as a textbook.This textbook includes all necessary and universal topics and concepts of Trigonometry or Trigonometry and Vectors courses.

Trigonometry and Vectors with Applications in Physics is unique because it includes academically precise definitions, a large number of practice classwork and homework problems, pre-tests, and applications which can help students understand the material more deeply and be prepared for tests. It is also a unique textbook because contains a large number of physics applications.

This book is written in an easy-to-understand manner and helps students and instructors grasp the topics easily and deeply.

Edition

2023

Pages

252

Book Type

Retail

About the Author(s):

Rubik Yegoryan

Rubik Yegoryan has a Ph.D. in Theoretical and Mathematical Physics, more than 15 years of university teaching experience, more than 10 published textbooks, more than 200 scientific researches, articles, and other publications. He formulated and proved the well-known No-Go Theorem and GGH-Effect in the Quantum Chromodynamics (QCD), as well as earned 2 Awards “Years of Service Award” from Woodbury University. Now Dr. Yegoryan is the President of Elite Pre-University.

Hayk Yegoryan

Table of Contents

Part 1 Angles and Trigonometric Functions
1.1. Angles and Their Degree and Radian Measures
1.2. Trigonometric Functions and the Unit Circle
1.3. Properties of Special Triangles: 30-60-90 & 45-45-90
1.4. Trigonometric Functions of the Special Angles
1.5. Graphs of Six Trig Functions
1.6. Inverse Trig Functions and Their Graphs
Part 2 Trigonometric Formulas and Identities
2.1. Formulas for sin, cos, tan, and cot
2.2. Formulas for sin, cos, tan, and cot
2.3. Formulas for sin, cos, tan, and cot
2.4. Formulas for the angles
2.5. Formula for Asin𝛼 + Bcos𝛼
2.6. Trigonometric Identities
2.7. The Laws of sin and cos for Triangles
2.8. Arc Lengths, Sector Area, and Triangle Area
Part 3 Trigonometric Equations and Inequalities
3.1. Trigonometric Expressions
3.2. Solving Trigonometric Equations
3.3. Solving Trigonometric Inequalities
Part 4 Vectors
4.1. Vectors
4.2. Addition and Subtraction of vectors: 𝐚⃗ + 𝐛⃗ 𝐚𝐧𝐝 𝐚⃗ - 𝐛⃗
4.3. Multiplying Vectors with Scalars: λ 𝐚⃗
4.4. Dot Product of Vectors: ( 𝐚⃗ ∙ 𝐛⃗ )
4.5. Cross Product of Vectors: ( 𝐚⃗ x 𝐛⃗ )
4.6. Applications and Additional Practice

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