Udemy - Trigonometry 1 - The Complete Foundational Masterguide

Master the art of Trigonometry & develop strong foundation practicing with a plethora of solved examples
What you'll learn
Defining Trigonometry, Angle, Right Angled Triangle
Diving deep into Right Angle Triangle, conceptualizing Base, Perpendicular, Hypotenuse
Pythagoras Theorem
Real World Scenarios involving identification of Right Triangle and applying associated properties to solve problems
Concept of Trigonometric Ratios
Defining Trigonometric Ratios of angle A and C in a right triangle ABC (B = 90)
Defining Trigonometric Ratios of an angle in any triangle
Some More Relations of Trigonometric Ratios
Understanding commonly used Abbreviations and Symbols
Finding different Trigonometric Ratios using Trigonometric Identities
Defining Complementary Angles
Derivation of Identities of Trigonometric Ratios of Complementary Angles wrt A and C in a right triangle ABC (B = 90)
Trigonometric Ratios of Complementary Angles for any angle θ (in general)
Trigonometric Ratios of Specific Angles (0, 30, 45, 60, 90)
Derivation of Trigonometric Ratios of 0, 30, 45, 60, 90
Table of Reference showcasing values of all Trigonometric Ratios of Specific Angles
Defining Identity and Trigonometric Identity
Difference Between Identity and Equation
Derivation of Standard Trigonometric Identities
Diving deep and understanding alternate forms of Standard Identities
Application of Trigonometry (Heights and Distances)
Defining Line of Sight, Angle of Elevation, Angle of Depression
Relation between Angle of Elevation and Angle of Depression
Instruments Based on the Principle of Trigonometry
Run through of ample of solved questions of different types in each topic, elucidating the approach and thinking process
Tons of Quizzes/Assignments with answers to test your own understanding and help you develop confidence
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Requirements
Good to have some Fundamentals of ArithmeticSome Basic Algebra - solving equationsSome familiarity with very basic geometry would be useful but not requiredEnthusiasm and Positivity
Description
Do you prefer learning mathematics with a lot solved examples and practice questions rather than direct presentation of facts?
Are you looking for a comprehensive trigonometry course that could help you master the theoretical concepts and take your problem-solving skills to the next level?
Are you interested in building strong foundation in trigonometry that can be of great avail to you in advanced topics like calculus?
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If you answer yes to any of the questions above then you are probably wandering in the right place. This course is a complete foundational guide on trigonometry.It is designed to help you absorb the concepts in an engaging 'problem-based-learning' approach, which is perhaps one of the most scientifically adept approaches to help you retain concepts over a longer time.
Needless to emphasize further more, it has been rightly said by Aristotle "for the things we have to learn before we can do them, we learn by doing them".
The course encompasses all the essential theory with in-depth explanations, bundled with mathematical proofs/an ample of solved practice questions/quizzes/ assignments. It would help by get a good taste of 'learning by doing yourself' making it less boring and more active, fun, memorable. An enthusiastic student is bound to master the art of trigonometry and develop strong foundation upon successful course completion.
I wish you all the best for successful learning journey ahead. Looking forward to meet you soon :)
Who this course is for:Anyone who is looking for a comprehensive foundational course on trigonometryAnyone who likes to learn by solving more and more (problem-based-learning)College students who want to use it as a precursor to calculus or advanced trigonometry coursesAnyone who is inclined to learn the real-world applications of trigonometryAnyone who wants to develop a strong foundation on trigonometry for olympiads / competitive examinations at high school levelHelpful for homeschooling parents who wish to get some more support on trigonometryAnyone who wants a good refresher course on trigonometry after being away from the school for a while