A pre-Calculus journey of Trigonometry

A pre-Calculus journey of Trigonometry, available at Free, has an average rating of 4.33, with 12 lectures, based on 6 reviews, and has 390 subscribers.

You will learn about Geometry: Pythagorean theorem, Trig identity Algebra: Solving quadratic equations, complete the square, quadratic formulas Using Numerical methods to solve Cubic equation Solving for sine1 using Excel Construct the sine table using Excel This course is ideal for individuals who are Students who have trouble with trignometry or Learners who are curious about how trignometry was handled in the old days or People who want to learn math in an more meaningful way It is particularly useful for Students who have trouble with trignometry or Learners who are curious about how trignometry was handled in the old days or People who want to learn math in an more meaningful way.

Enroll now: A pre-Calculus journey of Trigonometry

Summary

Title: A pre-Calculus journey of Trigonometry

Price: Free

Average Rating: 4.33

Number of Lectures: 12

Number of Published Lectures: 12

Number of Curriculum Items: 12

Number of Published Curriculum Objects: 12

Original Price: Free

Quality Status: approved

Status: Live

What You Will Learn

Geometry: Pythagorean theorem, Trig identity
Algebra: Solving quadratic equations, complete the square, quadratic formulas
Using Numerical methods to solve Cubic equation
Solving for sine1 using Excel
Construct the sine table using Excel

Who Should Attend

Students who have trouble with trignometry
Learners who are curious about how trignometry was handled in the old days
People who want to learn math in an more meaningful way

Target Audiences

Students who have trouble with trignometry
Learners who are curious about how trignometry was handled in the old days
People who want to learn math in an more meaningful way

Trigonometry played important roles in navigation, science and engineering. Modern days we have computing devices spitting out results easily, but how did mathematicians in the old times tackle this problem? Walking through the various methods employed to construct a sine table is the central topic of this course.

We’ve studied lots of math tools in school, such as algebra, geometry, quadratic equations, quadratic formulas, you might can’t help but wondering: where on earth did they come from and what’s the use of them anyway? Math is a complex toolbox with different toolsets meant to help us tackle real life problems. Like learning any other tools in life, the best way to learn them is through different projects. This mini-course on trigonometry will do that! Through exploring the knowledge of trigonometry in the middle ages, you will encounter different elementary math skills like geometric reasoning, Pythagorean Theorem, Trig identities, solving quadratic equations, emergence of a cubic equations, and using numerical methods to solve a cubic equation. Unlike traditional school where subjects are taught in an isolated manner, in this course these different topics are orchestrated toward a central theme to construct a sine table. The knowledge revealed will also provide you the basis towards our modern approach in handling trigonometry.

Course Curriculum

Chapter 1: Introduction

Lecture 1: Introduction

Chapter 2: How to use geometry to obtain basic sines: sin30, sin45

Lecture 1: Meanings of sine

Lecture 2: How to get sines of some special angles: 30,45,60 degrees – Geometry

Lecture 3: How to prove Pythagorean theorem

Lecture 4: How to derive the combination formula for trig

Chapter 3: How to use algebra to obtain special sines: sin15, sin18, sin3

Lecture 1: Section overview

Lecture 2: How to find sine 15 – solving a quadratic equation

Lecture 3: How to find sine 18 – quadratic formula

Lecture 4: How to evaluate sine 3 – Excel

Chapter 4: How to use Excel and numerical methods to solve for sin1

Lecture 1: How to solve for sine1 – cubic equation

Lecture 2: How to solve for sine 1 – numerical methods using Excel

Chapter 5: Construct the sine table using Excel

Lecture 1: How to construct sine table using Excel

Instructors

Learning 0to1
Learn why, then how!

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