Trigonometry 1 - The Complete Foundational Masterguide

LeeAndro · May 27, 2022

Master the art of Trigonometry & develop strong foundation practicing with a plethora of solved examples

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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Good to have some Fundamentals of ArithmeticSome Basic Algebra - solving equationsSome familiarity with very basic geometry would be useful but not requiredEnthusiasm and Positivity
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 .

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

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Trigonometry 1 - The Complete Foundational Masterguide

LeeAndro

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