Master Trigonometry for Grade 11 & 12

Name: Master Trigonometry for Grade 11 & 12
Rating: 5.0 (1 reviews)

Complete Trigonometry Course for High School Students to Ace Exams and Improve Problem-Solving Skills

Created byLevy Nyamariwata

Last updated 11/2024

English

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

Course content

5 sections • 60 lectures • 12h 53m total length

Super Intense But Necessary Explanation For Proving Identities43:54
Please download the course material attached below.
Leave An Answer In Surd Form, Using A Reduction Formula And Compound Angles18:49
What To Look Out For When Proving An Identities That Have Squares17:40
Working With double Angles And Proving An Identity17:43
EXERCISE-Reduction Formula Proving Identities Question3:21
EXERCISE - Proving An Identity With Values And A Fraction6:07
EXERCISE - Simplifying A Fraction Trig Expression Without Using A Calculator3:04
Simplifying A Trigonometry With Surds10:07
Breaking Down A Trigonometry Expression With Double Angles In Fraction Form14:10
Proving And Identity With Fractions Double Angles Tan17:01
Showing You An Important Method To Breakdown Questions20:20
Making Use Of The Difference Of 2 Squares To Simplify A Trigonometry Expression10:29
Identities Question With 4 Double Angles12:10
How To Answer Follow Up Questions Form A Proven Identities8:21
EXERCISE - Using The Reduction Formulae To Simplify Without A Calculator3:34
Spotting And Expression That Has Compound Angles Expanded9:02
EXERCISE - Simplify A Trigonometry Expression With Fraction Under A Surd.5:40

Introduction To The General Solution Using An Exam Question.25:01
Using The Quadratic Formula To Get The General Solution Of A Trig Equation19:10
Knowing When To Factorize A Trigonometry Expression To Get The General Solution10:08
Factorization Mixed With A Level 4-5 General Solution Question.16:06
EXERCISE - Getting The General Solution If The Initial Expression Has A Fraction9:47
Learning An Important Method To Remove Trigonometry Ratios In A General Solution11:54

Drawing A Diagram Before Answering A Set Of Trigonometry Questions.16:06
Showcasing The Benefits Of Having A Complete Diagram To Work With5:50
Using Two Sets Of Information To Draw Two Sketches8:32
Using Multiple Sketches To Answer Trigonometry Questions10:53
Identifying Compound Angles In A Follow-Up Question4:57
Drawing A Sketch With A Double Angle In A Specific Quadrant7:27
What To Do When The Given Diagram Actually Has Three Sketches In One Image19:57
Questions From More Than 2 Sketches And Determining Where A Cos Graph Is Defined14:53

NB! Knowing When To Use The K360 K ∈ Z Part In A Trigonometry Question20:16
Please download the course material attached below, IF YOU HAVEN'T DONE SO ALREADY IN THE PREVIOUS CHAPTER.
Using Your Calculator To Help You Sketch A Trigonometry Graph16:31
Solving An Inequality Using Trigonometry Graphs7:37
Determining The Amplitude And Equation Of A Trigonometry Graph8:16
Determining The Maximum Value Of A Trigonometry Graph That Has Been Shifted Vert2:27
Determining The Period Of A Trigonometry Graph5:02
Using The General Solution Method To Answer A Question About Two Trigonometry Gr12:54
Getting The Equation Of The Asymptote Of A Tangent Graph3:51
Determining The Equation Of A Trigonometry Graph In Terms Of Another Trigonometr4:53
How Moving The Y-Axis Affects The Equation Of A Trigonometry Graph13:00
A Mixture Of An Inequality And A Reflection About The X-Axis12:41
Level 5 Question On Getting The Maximum Value Of A Trigonometry Graph14:25
Finding The First Negative X Value Of The Maximum Point Of A Trigonometry Graph24:34
Exercise - Sketching A Graph And Solving An Inequality4:19

3D Triangles Question With Two Concentric Circles40:44
Please download the course material attached below, IF YOU HAVEN'T DONE SO ALREADY IN THE PREVIOUS CHAPTER.
Exercise - Getting The Length Of One Side Of A Triangle2:36
Analyzing A 3D Sketch And Identifying The Horizontal And Vertical Planes11:20
Identifying When To Use Basic Trigonometry To Bank Free Marks4:34
Proving A Level Three 3D Triangles Trigonometric Expression13:23
Proving A Level Four 3D Triangles Trigonometric Expression16:10
Analyzing A 3D Sketch That Has Four Triangles11:17
The Sine Rule Explained Extensively43:28
Explaining How And When To Use The Area Rule16:16
What To Focus On When A 2D Sketch Has Too Much Information Given16:54
Exercise - Showcasing What You Learned From The Area Rule Lesson4:12
Calculating The Value Of X For Which The Area Of The Triangle Will Be A Maximum10:57
Exercise - Follow-Up Question On Getting The Length Of One Side Of A Triangle2:13
Analyzing Three Triangles That Are On The Same Vertical Plane23:36
Exercise - Applying What You Have Learned About 3D Triangles2:58

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!

Who this course is for:

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!

Master Trigonometry for Grade 11 & 12

What you'll learn

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Course content

Proving Identities And Simplifying Trigonometry Expressions17 lectures • 3hr 42min

How To Properly Answer General Solution Questions6 lectures • 1hr 32min

Solving Trigonometry Expressions Using Diagrams And Sketches8 lectures • 1hr 29min

Working With Trigonometry Graphs/Functions14 lectures • 2hr 31min

3 Dimensional And 2 Dimensional Triangles15 lectures • 3hr 41min

Requirements

Description

Who this course is for: