Master Trigonometry(Part -1)

Learn Trigonometry step by step ,build your concepts by doing quizes on each topic solving 500+ interesting problems

What you'll learn

Right Angle Triangle and Pythagoras theorem

Six trigonometric functions and their reciprocals in Right angle Triangle

Trigonometric Identities

Special Triangles and Trigonometric Table

Evaluating unknown sides and angles using trigonometric functions

Applying trigonometric Identities in problems

Some unique triangles that gives new insights in trigonometry

Complementary Relations between trigonometric functions

Magical Hexagon

Angles,Degree and Radiant Measure, Positive, Negative and Refrence Angle

Trigonometric functions sign in different quadrants

Evaluating Trigonometric Functions for any Angle

Sine Rule,Cosine Rule and Ambiguous Case of Sine Rule

Some Special Properties of Trigonometric Functions based on different quadrants

Trigonometry in 3D

Application of Trigonometry in Bearing Angle

Angle of Depression and Elevation

Finding Area of a General Triangle using Sine law

Requirements

Basic Algebra is needed

Concept of square root is prior

Description

Welcome to our comprehensive Trigonometry course, divided into two parts for a structured and step-by-step learning experience. This approach allows you to grasp each concept thoroughly before moving on to the next, making it easier to master the subject.Part One of the course covers essential topics, including:- Pythagoras' Theorem- Six fundamental trigonometric functions- Trigonometric identities- Sine and cosine rules- Finding trigonometric function values for any angle- Applications of trigonometryTo reinforce your understanding, each topic includes at least three quizzes, featuring five or six problems to solve. These quizzes are carefully crafted by the instructor to provide a engaging and challenging learning experience.What sets this course apart is its emphasis on quizzes as a key learning tool. You'll watch short videos (1-3 minutes) and then apply your knowledge by solving quizzes. This approach ensures that you're actively engaged with the material and developing a deep understanding of trigonometry.Unlike traditional courses, this program offers unique insights and perspectives, making learning trigonometry an innovative and enjoyable experience. By completing this course, you'll not only gain a solid grasp of trigonometric concepts but also develop a robust mathematical approach.Join us on this engaging and interactive journey to master trigonometry!

Overview

Section 1: Right Angle Triangle and Pythagoreous Theorem

Lecture 1 Right Angle Triangle and Hypotenous

Lecture 2 Naming The Sides Of a Right Angle Triangle

Lecture 3 Pythagoreous Theorem Basic Explanation

Lecture 4 Pythagoreous Theorem (One Example)

Lecture 5 Simplifying Square Roots

Lecture 6 Squaring a square root term

Lecture 7 Understanding concepts by example

Lecture 8 Some Basic Misunderstanding about Square Root

Lecture 9 Applying algebric identity in order to find a missing side

Section 2: Trigonometry in right angle triangle

Lecture 10 Understanding three basic trigonometric functions in a Right Angle Triangle

Lecture 11 Reciprocal Of Trigonometric Functions

Lecture 12 Using Calculator to evaluate missing angles and sides of a right angle triangle

Lecture 13 Evaluating sides of a right angle triangle using trigonometric functions

Lecture 14 Four Basic Trigonometric Identities

Lecture 15 Using Trigonometric Identities

Lecture 16 Special Triangles and trigonometric table

Lecture 17 One special triangle

Lecture 18 One Important Result

Lecture 19 Complementary relations

Lecture 20 Magical Hexagon

Section 3: Trigonometry in General Triangle

Lecture 21 ANGLE

Lecture 22 Refrence Angle

Lecture 23 Sign Of Trigonometric Functions in different quardants

Lecture 24 Evaluating Trigonometric Functions for any angle

Lecture 25 Sin Rule

Lecture 26 Some Special Properties of Trigonometric Functions

Lecture 27 Ambigious Case of Sine law

Lecture 28 Law Of Cosines

Section 4: Some More Applications

Lecture 29 Trigonometry in 3D

Lecture 30 Bearing Angle

Lecture 31 Angle of elevation and angle of depression

Section 5: Subject Tests

Lecture 32 Solution of problem 7 of practice set 01

A 7th grader to high school level students will be greatly benefited by this course,A student wants to learn Precalculus or Ap Calculus can opt this course,First year college students or anybody who wants to enhance his trigonometry will be immensely benefited by this course