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, What they'd teach you (if they had the time) summary
Kevin Bennett
Brief summary
Trigonometry, What they'd teach you (if they had the time) by Kevin Bennett is a comprehensive guide that simplifies trigonometric concepts and provides practical examples to help readers grasp the fundamentals of this mathematical discipline.
Topics
Table of Contents
Trigonometry, What they'd teach you (if they had the time)
Summary of key ideas
Understanding Trigonometry from the Ground Up
In Trigonometry, What they'd teach you (if they had the time) by Kevin Bennett, we embark on a journey to understand this branch of mathematics from the ground up. The book begins with the history of trigonometry, tracing its roots to ancient civilizations like the Babylonians and Greeks, who used it for practical purposes such as measuring land and predicting astronomical events.
Bennett then introduces us to the foundational concept of angles and the three primary trigonometric functions: sine, cosine, and tangent. He explains how these functions are derived from the unit circle and how they represent the relationship between the angles of a triangle and its sides.
Exploring Trigonometric Identities and Equations
As we progress, Trigonometry, What they'd teach you delves into trigonometric identities, which are equations involving trigonometric functions that are true for all values of the variable. Bennett takes a methodical approach to unraveling these identities, demonstrating their applications in simplifying expressions and solving equations.
The book then navigates through the various forms of trigonometric equations, such as linear, quadratic, and multiple angle equations. Bennett provides clear, step-by-step methods for solving these equations, equipping the reader with the tools to tackle even the most complex trigonometric problems.
Understanding Trigonometric Graphs and Applications
Next, Trigonometry, What they'd teach you introduces trigonometric graphs, illustrating how the sine, cosine, and tangent functions can be graphed to represent periodic phenomena. Bennett explains the characteristics of these graphs, including amplitude, period, phase shift, and vertical displacement, and how they relate to real-world applications such as sound waves and alternating currents.
Further into the book, Bennett explores the applications of trigonometry in solving practical problems involving triangles and periodic phenomena. He covers topics like the law of sines and cosines, simple harmonic motion, and the use of trigonometric functions to model and analyze various natural phenomena.
Advanced Concepts and Concluding Thoughts
As we reach the advanced sections of Trigonometry, What they'd teach you, Bennett introduces us to more complex topics, including inverse trigonometric functions, polar coordinates, and complex numbers. He elucidates the role of these advanced concepts in extending the applicability of trigonometry to diverse fields such as physics, engineering, and computer science.
In conclusion, Bennett emphasizes the importance of a solid understanding of trigonometry, not only for academic success but also for its wide-ranging practical applications. He encourages readers to continue exploring and applying trigonometric principles in their respective fields of interest, underscoring the enduring relevance of this ancient mathematical discipline.
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, What they'd teach you (if they had the time) about?
Trigonometry: What They'd Teach You (If They Had the Time) by Kevin Bennett is a comprehensive guide that demystifies the complexities of trigonometry. It provides clear explanations, practical examples, and step-by-step instructions to help readers understand and apply trigonometric principles in real-world scenarios. Whether you're a student struggling with trigonometry or someone looking to refresh their knowledge, this book is an invaluable resource.
Trigonometry, What they'd teach you (if they had the time) Review
Trigonometry, What they'd teach you (if they had the time) (2020) is an insightful exploration of trigonometry concepts catered to curious minds. Here's why this book is worth your time:
- Illustrates complex trigonometric principles with clarity, making it accessible and engaging for all readers.
- Presents practical applications of trigonometry in various fields, offering a real-world perspective on the subject.
- Enhances understanding through interactive exercises and problem-solving strategies, ensuring active learning and retention.
Who should read Trigonometry, What they'd teach you (if they had the time)?
High school or college students studying trigonometry
Individuals looking to refresh their understanding of trigonometry
Teachers or tutors seeking additional resources for their students
Categories with Trigonometry, What they'd teach you (if they had the time)
Book summaries like Trigonometry, What they'd teach you (if they had the time)
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
4.8 Stars
Average ratings on iOS and Google Play
43 Million
Downloads on all platforms
10+ years
Experience igniting personal growth
Trigonometry, What they'd teach you (if they had the time) FAQs
What is the main message of Trigonometry, What they'd teach you (if they had the time)?
Discover the essentials of trigonometry and its practical applications in daily life.
How long does it take to read Trigonometry, What they'd teach you (if they had the time)?
Reading time varies, but you can grasp the key insights in a short while with the Blinkist summary.
Is Trigonometry, What they'd teach you (if they had the time) a good book? Is it worth reading?
Explore trigonometry's significance and real-world relevance in a concise and engaging manner.
Who is the author of Trigonometry, What they'd teach you (if they had the time)?
The author of Trigonometry, What they'd teach you (if they had the time) is Kevin Bennett.
What to read after Trigonometry, What they'd teach you (if they had the time)?
If you're wondering what to read next after Trigonometry, What they'd teach you (if they had the time), 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