What you’ll learn

Proving Identities And Simplifying Trigonometry Expressions
Properly Answer General Solution Questions
Solve Trigonometry Expression Using Diagrams And Sketches
Work With Trigonometry Graphs
Understand 2D and 3D Triangles

Requirements

Basic Math Skills: A solid understanding of arithmetic and algebra, including solving equations and working with fractions. Geometry Knowledge: Familiarity with basic geometry concepts, particularly right-angled triangles and angles. No prior trigonometry knowledge required: This course is beginner-friendly, and we’ll start with the basics to ensure everyone can follow along. Calculator: A scientific calculator will be helpful for solving trigonometric problems, but it’s not mandatory. This course is designed for Grade 11 and 12 learners, whether you’re new to trigonometry or looking to strengthen your skills. You’ll find it easy to follow, with clear explanations at every step.

Description

Welcome to Master Trigonometry for Grade 11 & 12, the ultimate course designed for adults looking to support high school learners or refresh their own understanding of trigonometry. Whether you’re a parent, tutor, or lifelong learner, this course will guide you through all essential trigonometric concepts required for success in Grades 11 and 12. This course is intended for purchase by adults. You will explore key topics such as the unit circle, sine, cosine, and tangent functions, graphing trigonometric equations, solving trigonometric identities, and applying these skills to real-world problems. With step-by-step explanations and practical examples, this course ensures you fully grasp these concepts and can confidently apply them in exam settings.This course is designed with adults in mind, whether you’re helping a high school student or improving your own math skills for professional or academic purposes.The main is to help you upgrade your level of trigonometry understanding while making sure that the process is enjoyable. What You Will Learn:Master sine, cosine, and tangent functions.Graph and analyze trigonometric functions.Solve trigonometric equations and identities.Apply trigonometry to real-life problems.

Who this course is for

:Adults supporting high school learners.Tutors and educators seeking to deepen their knowledge of trigonometry.Anyone wanting to improve their understanding of trigonometry.Enroll now to start mastering trigonometry today!

Overview

Section 1: Proving Identities And Simplifying Trigonometry Expressions
Lecture 1 Super Intense But Necessary Explanation For Proving Identities
Lecture 2 Leave An Answer In Surd Form, Using A Reduction Formula And Compound Angles
Lecture 3 What To Look Out For When Proving An Identities That Have Squares
Lecture 4 Working With double Angles And Proving An Identity
Lecture 5 EXERCISE-Reduction Formula Proving Identities Question
Lecture 6 EXERCISE – Proving An Identity With Values And A Fraction
Lecture 7 EXERCISE – Simplifying A Fraction Trig Expression Without Using A Calculator
Lecture 8 Simplifying A Trigonometry With Surds
Lecture 9 Breaking Down A Trigonometry Expression With Double Angles In Fraction Form
Lecture 10 Proving And Identity With Fractions Double Angles Tan
Lecture 11 Showing You An Important Method To Breakdown Questions
Lecture 12 Making Use Of The Difference Of 2 Squares To Simplify A Trigonometry Expression
Lecture 13 Identities Question With 4 Double Angles
Lecture 14 How To Answer Follow Up Questions Form A Proven Identities
Lecture 15 EXERCISE – Using The Reduction Formulae To Simplify Without A Calculator
Lecture 16 Spotting And Expression That Has Compound Angles Expanded
Lecture 17 EXERCISE – Simplify A Trigonometry Expression With Fraction Under A Surd.
Section 2: How To Properly Answer General Solution Questions
Lecture 18 Introduction To The General Solution Using An Exam Question.
Lecture 19 Using The Quadratic Formula To Get The General Solution Of A Trig Equation
Lecture 20 Knowing When To Factorize A Trigonometry Expression To Get The General Solution
Lecture 21 Factorization Mixed With A Level 4-5 General Solution Question.
Lecture 22 EXERCISE – Getting The General Solution If The Initial Expression Has A Fraction
Lecture 23 Learning An Important Method To Remove Trigonometry Ratios In A General Solution
Section 3: Solving Trigonometry Expressions Using Diagrams And Sketches
Lecture 24 Drawing A Diagram Before Answering A Set Of Trigonometry Questions.
Lecture 25 Showcasing The Benefits Of Having A Complete Diagram To Work With
Lecture 26 Using Two Sets Of Information To Draw Two Sketches
Lecture 27 Using Multiple Sketches To Answer Trigonometry Questions
Lecture 28 Identifying Compound Angles In A Follow-Up Question
Lecture 29 Drawing A Sketch With A Double Angle In A Specific Quadrant
Lecture 30 What To Do When The Given Diagram Actually Has Three Sketches In One Image
Lecture 31 Questions From More Than 2 Sketches And Determining Where A Cos Graph Is Defined
Section 4: Working With Trigonometry Graphs/Functions
Lecture 32 NB! Knowing When To Use The K360 K ∈ Z Part In A Trigonometry Question
Lecture 33 Using Your Calculator To Help You Sketch A Trigonometry Graph
Lecture 34 Solving An Inequality Using Trigonometry Graphs
Lecture 35 Determining The Amplitude And Equation Of A Trigonometry Graph
Lecture 36 Determining The Maximum Value Of A Trigonometry Graph That Has Been Shifted Vert
Lecture 37 Determining The Period Of A Trigonometry Graph
Lecture 38 Using The General Solution Method To Answer A Question About Two Trigonometry Gr
Lecture 39 Getting The Equation Of The Asymptote Of A Tangent Graph
Lecture 40 Determining The Equation Of A Trigonometry Graph In Terms Of Another Trigonometr
Lecture 41 How Moving The Y-Axis Affects The Equation Of A Trigonometry Graph
Lecture 42 A Mixture Of An Inequality And A Reflection About The X-Axis
Lecture 43 Level 5 Question On Getting The Maximum Value Of A Trigonometry Graph
Lecture 44 Finding The First Negative X Value Of The Maximum Point Of A Trigonometry Graph
Lecture 45 Exercise – Sketching A Graph And Solving An Inequality
Section 5: 3 Dimensional And 2 Dimensional Triangles
Lecture 46 3D Triangles Question With Two Concentric Circles
Lecture 47 Exercise – Getting The Length Of One Side Of A Triangle
Lecture 48 Analyzing A 3D Sketch And Identifying The Horizontal And Vertical Planes
Lecture 49 Identifying When To Use Basic Trigonometry To Bank Free Marks
Lecture 50 Proving A Level Three 3D Triangles Trigonometric Expression
Lecture 51 Proving A Level Four 3D Triangles Trigonometric Expression
Lecture 52 Analyzing A 3D Sketch That Has Four Triangles
Lecture 53 The Sine Rule Explained Extensively
Lecture 54 Explaining How And When To Use The Area Rule
Lecture 55 What To Focus On When A 2D Sketch Has Too Much Information Given
Lecture 56 Exercise – Showcasing What You Learned From The Area Rule Lesson
Lecture 57 Calculating The Value Of X For Which The Area Of The Triangle Will Be A Maximum
Lecture 58 Exercise – Follow-Up Question On Getting The Length Of One Side Of A Triangle
Lecture 59 Analyzing Three Triangles That Are On The Same Vertical Plane
Lecture 60 Exercise – Applying What You Have Learned About 3D Triangles
This course is ideal for Grade 11 and 12 students who want to master trigonometry and excel in their math exams. Whether you’re struggling with trigonometric functions or looking to deepen your understanding, this course will guide you step-by-step through the key concepts. It’s also perfect for students preparing for exams who need clear, practical explanations of trigonometric ratios, identities, and real-world applications. If you’re someone who wants to approach trigonometry with confidence and gain the skills necessary for higher-level math, this course is for you!

Homepage:

www.udemy.com/course/master-trigonometry-for-grade-11-12/

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