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Your Complete Primer in Trigonometry

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- 7 hours on-demand video
- Full lifetime access
- Access on mobile and TV

- Certificate of Completion

What Will I Learn?

- Use Trigonometry to calculate angles and lengths of sides of right-angled triangle.
- Use Sine rule to calculate area of triangle
- Evaluate signs of Trigonometric Ratios on Cartesian plane.

Requirements

- Students should already be familiar with Basic Algebra
- Know how to use Pythagorean Theorem
- No prior knowledge of Trigonometry is required

Description

This is a perfect beginner course for secondary school students intending to sit for Mathematics examinations. It will take the students from the definition of the three main Trigonometric Ratios (sine, cosine and tangent) of acute angles using right-angled through to the Trigonometric Ratios of angles of any size (including negative angle) using Cartesian Plane. Inverse Trigonometric functions will be introduce to students which is the foundation of the more complex solution to Trigonometric Equations.

Two topics on on Geometry (Sine & Cosine Rule and Area of Triangle) are also included, to complement the understanding of Trigonometry and its link to angles and triangles.

The course is delivered by an experienced teacher with extensive experience in teaching students on a one to one basis. The instructor understands the difficulties that students normally face to become competent in mathematics. So words and examples were carefully chosen to ensure that everybody gets the most out of this series of lectures. This is a MUST course for all secondary school students.

Have fun learning!

Who is the target audience?

- Secondary and High School Students
- Mathematics Teachers
- Adults seeking a refresher on Trigonometry

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Curriculum For This Course

52 Lectures

06:57:37
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Trigonometric Ratios
19 Lectures
02:21:33

Introductory lecture. After watching this video students will understand the scope, purpose and the structure of the course.

Preview
03:13

A study of right-angled triangle. After watching this video students will be able to describe all the three sides of a right-angled triangle.

Preview
04:22

Usage of mnemonic to memorise Trigonometric Ratio Definitions. After watching this video students will be able to define Sine, Cosine and Tangent.

Definition of Sine, Cosine and Tangent (Part 1 of 3)

06:23

Familiarisation of Trigonometric Ratio Definitions through examples. After watching this video students will be able to determine Sine, Cosine and Tangent using diagram of right-angled triangles.

Definition of Sine, Cosine and Tangent (Part 2 of 3)

11:10

Familiarisation of Trigonometric Ratio Definitions through examples. After watching this video students will be able to determine Sine, Cosine and Tangent using diagram of right-angled triangles.

Definition of Sine, Cosine and Tangent (Part 3 of 3)

10:26

Quiz 1 (Basic Trigonometric Ratios)

7 questions

Solutions to Quiz 1. After watching this video students will be able to determine the solutions to questions in Quiz 1.

Solutions to Quiz 1 (Basic Trigonometric Ratios)

09:18

Trigonometric Functions on Calculator

09:16

Introducing Inverse Trigonometric Functions, arcsin, arccos and arctan, which will return a value of an angle. After watching this video students will be able to use inverse trigonometric functions to determine the values of a certain angle.

Inverse Trigonometric Functions (Part 1 of 2)

08:02

Elaborating on Inverse Trigonometric Functions through examples. After watching this video students will be able to use inverse trigonometric functions to determine the values of a certain angle.

Inverse Trigonometric Functions (Part 2 of 2)

04:51

Quiz 2 (Inverse Trigonometric Functions)

5 questions

Solutions to Quiz 2. After watching this video students will be able to determine the solutions to questions in Quiz 2.

Solutions to Quiz 2 (Inverse Trigonometric Functions)

07:15

Use Trigonometric Ratio definitions to calculate lengths of sides of a triangle. After watching this video students will be able to calculate the lengths of sides of a triangle using a Trigonometric Ratio value and the length of one of the sides of the triangle.

Calculating the Lengths of Sides of a Triangle.

06:48

Quiz 3 (Lengths of Sides of a Triangle)

5 questions

Solutions to Quiz 3. After watching this video students will be able to determine the solutions to questions in Quiz 3.

Solutions to Quiz 3 (Lengths of Sides of a Triangle)

07:06

Problem Solving on Trigonometry on general (non-right-angled) triangles through examples. After watching this video students will be able to solve complex triangle problems using Trigonometric Ratio definitions.

Trigonometry Problem Solving (Part 1 of 4)

04:59

Problem Solving on Trigonometry on general (non-right-angled) triangles through examples. After watching this video students will be able to solve complex triangle problems using Trigonometric Ratio definitions.

Trigonometry Problem Solving (Part 2 of 4)

10:24

Problem Solving on Trigonometry on general (non-right-angled) triangles through examples. After watching this video students will be able to solve complex triangle problems using Trigonometric Ratio definitions.

Trigonometry Problem Solving (Part 3 of 4)

07:17

Trigonometry Problem Solving (Part 4 of 4)

09:46

Quiz 4 (Trigonometry Problem Solving)

4 questions

Solutions to Quiz 4. After watching this video students will be able to determine the solutions to questions in Quiz 4.

Solutions to Quiz 3 (Trigonometry Problem Solving. Part 1 of 3)

06:16

Solutions to Quiz 4. After watching this video students will be able to determine the solutions to questions in Quiz 4.

Solutions to Quiz 3 (Trigonometry Problem Solving. Part 2 of 3)

08:26

Solutions to Quiz 4. After watching this video students will be able to determine the solutions to questions in Quiz 4.

Solutions to Quiz 3 (Trigonometry Problem Solving. Part 3 of 3)

06:15

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–

Sine and Cosine Rules
13 Lectures
01:57:59

Derivation of Sine Rule. After watching this video students will be able to derive Sine Rule.

Preview
08:00

Application of Sine Rule to determine dimensions of a triangle. After watching this video students will be able to calculate lengths of sides and angles of a triangle using Sine Rule.

Sine Rule (Part 2 of 4)

09:18

Proof that Sine Rule applies to triangle with obtuse angle. After watching this video students will be able to prove that Sine Rule applies to triangle with obtuse angle.

Sine Rule (Part 3 of 4)

08:33

Application of Sine Rule to determine dimensions of a triangle. After watching this video students will be able to calculate lengths of sides and angles of a triangle using Sine Rule.

Sine Rule (Part 4 of 4)

06:46

Derivation of Cosine Rule. After watching this video students will be able to derive Cosine Rule.

Cosine Rule (Part 1 of 4)

08:13

Application of Cosine Rule to determine dimensions of a triangle. After watching this video students will be able to calculate lengths of sides and angles of a triangle using Cosine Rule.

Cosine Rule (Part 2 of 4)

10:50

Proof that Cosine Rule applies to triangle with obtuse angle. After watching this video students will be able to prove that Cosine Rule applies to triangle with obtuse angle.

Cosine Rule (Part 3 of 4)

14:34

Application of Cosine Rule to determine dimensions of a triangle. After watching this video students will be able to calculate lengths of sides and angles of a triangle using Cosine Rule.

Cosine Rule (Part 4 of 4)

06:29

Problem Solving using both Sine and Cosine Rules

14:39

Quiz 5 (Sine and Cosine Rules)

10 questions

Solutions to Quiz 5. After watching this video students will be able to determine the solutions to questions in Quiz 5.

Solutions to Quiz 5 (Sine and Cosine Rules - Part 1 of 4)

09:07

Solutions to Quiz 5. After watching this video students will be able to determine the solutions to questions in Quiz 5.

Solutions to Quiz 5 (Sine and Cosine Rules - Part 2 of 4)

06:42

Solutions to Quiz 5. After watching this video students will be able to determine the solutions to questions in Quiz 5.

Solutions to Quiz 5 (Sine and Cosine Rules - Part 3 of 4)

08:41

Solutions to Quiz 5 (Sine and Cosine Rules - Part 4 of 4)

06:07

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Area of Triangles
4 Lectures
20:14

Derivation of Area of Triangle formula. After watching this video students will be able to derive a formula for area of a triangle using Trigonometry.

Area of Triangles (Part 1 of 2)

03:07

Explanation of the usage of the formula for area of triangles using Trigonometry through examples. After watching this video students will be able to apply the formula for Area of Triangles.

Area of Triangles (Part 2 of 2)

07:04

Quiz 6 (Area of Triangles)

4 questions

Solutions to Quiz 6. After watching this video students will be able to determine the solutions to questions in Quiz 6.

Solutions to Quiz 6 (Area of Triangles - Part 1 of 2)

06:09

Solutions to Quiz 6. After watching this video students will be able to determine the solutions to questions in Quiz 6.

Solutions to Quiz 6 (Area of Triangles - Part 2 of 2)

03:54

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Trigonometric Ratios of General Angles
16 Lectures
02:17:51

Usage of Cartesian Plane to represent angles of any value. After watching this video students will be able to draw angles of any size on Cartesian Plane and identify Quadrants that the angles lie in.

Angles on Cartesian Plane

08:22

Identification of Quadrants angles lie in.

Quiz 7 (Angles on Cartesian Plane)

8 questions

Solutions to Quiz 7. After watching this video students will be able to determine the solutions to questions in Quiz 7.

Preview
08:32

Finding Trigonometric Ratios from coordinates of the Terminal Points. After watching this video students will be able to determine sine, cosine and tangent of an angle from the coordinates of its Terminal Point.

Coordinates and Trigonometric Values for Points on a Unit Circles (Part 1 of 3)

08:30

Finding Trigonometric Ratios from coordinates of the Terminal Points. After watching this video students will be able to determine sine, cosine and tangent of an angle from the coordinates of its Terminal Point.

Coordinates and Trigonometric Values for Points on a Unit Circles (Part 2 of 3)

08:11

Finding Trigonometric Ratios from coordinates of the Terminal Points. After watching this video students will be able to determine sine, cosine and tangent of an angle from the coordinates of its Terminal Point.

Coordinates and Trigonometric Values for Points on a Unit Circles (Part 3 of 3)

07:28

Describes Negative Angles and their corresponding Trigonometric Ratios. After watching this video students will be able to determine Trigonometric Ratios of negative angles.

Trigonometric Ratios of Negative Angles (Part 1 of 2)

07:00

Describes Negative Angles and their corresponding Trigonometric Ratios. After watching this video students will be able to determine Trigonometric Ratios of negative angles.

Trigonometric Ratios of Negative Angles (Part 2 of 2)

06:38

Quiz 8 (Trigonometric Ratios of General Angles)

4 questions

Solutions to Quiz 8. After watching this video students will be able to determine the solutions to questions in Quiz 8.

Solutions to Quiz 8 (Trigonometric Ratios of General Angles)

04:51

Determining whether Sine, Cosine and Tangent are of positive or negative values in Quadrant 1, Quadrant 2, Quadrant 3 and Quadrant 4. After watching this video students will be able to evaluate and remember the signs of Trigonometric Ratios in different quadrants of a Cartesian Plane.

Signs of Trigonometric Ratios

07:08

Describes how Basic Acute Angle relates to angles in all four Quadrants on Cartesian Plane. After watching this video students will be able to link Trigonometric Ratios of angles to that of its Basic Acute Angle.

Basic Acute Angle (Reference Angle)

08:33

Determining Trigonometric Ratios based on that of their Basic Acute Angles. After watching this video students will be able to evaluate Trigonometric Ratios of any angle based on its Basic Acute Angle.

Preview
10:48

Trigonometric Ratios of Angles vs that of their Basic Acute Angles (Part 2 of 3)

09:52

Trigonometric Ratios of Angles vs that of their Basic Acute Angles (Part 3 of 3)

08:35

Quiz 9 (Basic Acute Angle)

5 questions

Solutions to Quiz 9. After watching this video students will be able to determine the solutions to questions in Quiz 9.

Solutions to Quiz 9 (Basic Acute Angle)

12:52

Finding Possible Values of Angles from their Trigonometric Ratios

10:12

Quiz 10 (Finding Possible Values of Angles)

6 questions

Solutions to Quiz 10. After watching this video students will be able to determine the solutions to questions in Quiz10.

Solutions to Quiz 10 (Finding Possible Values of Angles)

10:19

About the Instructor

(BEng Electronics Engineering)

A Penang based Engineer cum Tutor, a father of four, with a passion to teach and help students excel in Math. He is also known as **MrMaths** by his students.

He was graduated with Bachelors Degree in Electronics Engineering from the University of Sheffield in England. He has fourteen years of working experience in electronics industry with Intel Corp and Dell Corp and years of Mathematics teaching and home tutoring experience. In the past he has also taught Physics. Today he is a full time Math tutor Since January 2012, he started tutoring outside of Penang and outside of Malaysia using Video Conferencing on the internet. Teaching in both Bahasa Melayu (Malay) and in English.

He is friendly and always treat his students as if they are his own children.

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