Powerful ideas from top nonfiction
Try Blinkist to get the key ideas from 7,500+ bestselling nonfiction titles and podcasts. Listen or read in just 15 minutes.
Get started for free
Blink 3 of 8 - The 5 AM Club
by Robin Sharma
Trigonometry Demystified summary
Brief summary
Trigonometry Demystified by Stan Gibilisco is a comprehensive guide that simplifies the complex concepts of trigonometry. It provides clear explanations, step-by-step examples, and practice problems to help you master this challenging subject.
Topics
Table of Contents
Trigonometry Demystified
Summary of key ideas
Understanding the Basics
In Trigonometry Demystified, Stan Gibilisco begins by introducing us to the basics of trigonometry. He explains what angles and triangles are, and how they relate to trigonometry. He then goes on to discuss the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent, and how they can be used to describe the relationships between the sides and angles of a right-angled triangle.
He then delves into the concept of the unit circle, which is a circle with a radius of 1, and how it can be used to represent the values of trigonometric functions. He also explains the periodic nature of trigonometric functions and how they can be used to model repetitive phenomena such as waveforms.
Trigonometric Identities and Equations
Gibilisco then moves on to discuss trigonometric identities, which are equations that are true for all values of the variables. He shows us how these identities can be used to simplify trigonometric expressions and solve trigonometric equations. He also covers the topic of inverse trigonometric functions, which are functions that “undo” the trigonometric functions, allowing us to find angles given the values of trigonometric functions.
Further, he explains how to use trigonometric functions to model real-world phenomena such as the motion of a pendulum or the height of a bouncing ball. He provides examples and exercises to help us understand these concepts better.
Applications of Trigonometry
In the latter part of Trigonometry Demystified, Gibilisco explores various applications of trigonometry. He discusses how trigonometric functions can be used to solve problems involving angles of elevation and depression, navigation, and physics. He also introduces us to the concept of polar coordinates, which are a different way of representing points in a plane using angles and distances from a fixed point.
He then moves on to cover the topic of complex numbers and how they are related to trigonometric functions. He shows us how complex numbers can be represented using trigonometric form and how trigonometric functions can be used to perform operations on complex numbers.
Advanced Topics and Self-Test
In the final sections of the book, Gibilisco introduces us to more advanced topics such as the addition and double-angle formulas, as well as the use of trigonometric functions in calculus. He also discusses the concept of vectors and how they are related to trigonometry.
To help us gauge our understanding, Gibilisco includes a 100-question self-test at the end of the book. The questions cover all the topics discussed in the book and are designed to test our knowledge and reinforce our learning. He provides detailed solutions to the questions, allowing us to check our answers and understand any mistakes we may have made.
Conclusion
In conclusion, Trigonometry Demystified is an excellent resource for anyone looking to understand the fundamentals of trigonometry. Gibilisco's clear explanations, numerous examples, and self-test questions make the subject accessible and engaging. Whether you're a student struggling with trigonometry or someone looking to refresh your knowledge of the subject, this book will help demystify the complexities of trigonometry and equip you with the skills needed to tackle its problems with confidence.
How do we create content on this page?
More knowledge in less time
Read or listen
Get the key ideas from nonfiction bestsellers in minutes, not hours.
Find your next read
Get book lists curated by experts and personalized recommendations.
Shortcasts New
We’ve teamed up with podcast creators to bring you key insights from podcasts.
What is Trigonometry Demystified about?
Trigonometry Demystified by Stan Gibilisco is a comprehensive guide that makes learning trigonometry easy and enjoyable. It breaks down complex concepts into simple, step-by-step explanations and includes numerous practice problems to help reinforce your understanding. Whether you're a student struggling with trigonometry or just looking to refresh your knowledge, this book is a must-read.
Trigonometry Demystified Review
Trigonometry Demystified by Stan Gibilisco offers a clear and engaging approach to mastering trigonometry concepts. Here's why this book is definitely worth your time:
- Provides real-world applications of trigonometry, helping readers understand its practical relevance in various fields.
- Breaks down complex trigonometric concepts into easy-to-follow explanations, making it accessible for all levels of learners.
- Utilizes interactive exercises and examples to ensure active learning and retention of key trigonometry principles, keeping boredom at bay.
Who should read Trigonometry Demystified?
Students or individuals looking to understand trigonometry from the ground up
Those who want a self-paced, step-by-step approach to learning trigonometry
People who prefer clear explanations and examples to demystify complex mathematical concepts
Categories with Trigonometry Demystified
Book summaries like Trigonometry Demystified
People ❤️ Blinkist
Sven O.
It's highly addictive to get core insights on personally relevant topics without repetition or triviality. Added to that the apps ability to suggest kindred interests opens up a foundation of knowledge.
Thi Viet Quynh N.
Great app. Good selection of book summaries you can read or listen to while commuting. Instead of scrolling through your social media news feed, this is a much better way to spend your spare time in my opinion.
Jonathan A.
Life changing. The concept of being able to grasp a book's main point in such a short time truly opens multiple opportunities to grow every area of your life at a faster rate.
Renee D.
Great app. Addicting. Perfect for wait times, morning coffee, evening before bed. Extremely well written, thorough, easy to use.
People also liked these summaries
4.7 Stars
Average ratings on iOS and Google Play
43 Million
Downloads on all platforms
10+ years
Experience igniting personal growth
Trigonometry Demystified FAQs
What is the main message of Trigonometry Demystified?
The main message of Trigonometry Demystified is mastering trigonometry concepts with ease and clarity.
How long does it take to read Trigonometry Demystified?
Reading Trigonometry Demystified takes hours. Blinkist summary takes minutes.
Is Trigonometry Demystified a good book? Is it worth reading?
The book is worth reading for simplifying trigonometry complexities efficiently.
Who is the author of Trigonometry Demystified?
Stan Gibilisco is the author of Trigonometry Demystified.
What to read after Trigonometry Demystified?
If you're wondering what to read next after Trigonometry Demystified, here are some recommendations we suggest:
- Where Good Ideas Come From by Steven Johnson
- Incognito by David Eagleman
- God Is Not Great by Christopher Hitchens
- A Brief History of Time by Stephen Hawking
- The Selfish Gene by Richard Dawkins
- Simply Complexity by Neil F. Johnson
- Antifragile by Nassim Nicholas Taleb
- Physics of the Future by Michio Kaku
- The Black Swan by Nassim Nicholas Taleb
- Musicophilia by Oliver Sacks