Trigonometry: The Basics

Over the next few days (Perhaps weeks) I will be doing a series of posts on Trigonometry. I will try to post perhaps once per day excluding weekends. Today we will talk about what Trigonometry actually is and the absolute basics.

What is Trigonometry?

The Word "Trigonometry" comes from the two Greek words "trigōnon", and "metron". "trigōnon" means Triangle and "metron" means measure. Trigonometry is the study of the measure of Triangles.

Trigonometry mainly deals with the relationship of two things in a Triangle: The Angles and the Lengths of the sides.

You might be asking: Why study triangles? why not Quadrilaterals or pentagons or circles?

There is a simple answer to this, it is because A Triangle is Stable.

Try taking 3 toothpicks or pencils or other stright objects and put them into the shape of a triangle. Now try changing the shape of the triangle. You will realise you can't change it, because a Triangle is stable.

Also, If you know the 3 angles in a triangle, the ratios of the sides will always be the same.


The Pythagorean Theorem

In a Right-angled triangle:


Where cc is the longest side known as the hypotenuse and aa and bb are the other two sides

The Next Post in this series will be here

Note by Yan Yau Cheng
7 years, 4 months ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link]( link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}


Sort by:

Top Newest

I like this idea. I am looking forward to future posts.

Sharky Kesa - 7 years, 4 months ago

Log in to reply

@SharkyKesa: The Next post was just posted 1 minute ago here

Yan Yau Cheng - 7 years, 4 months ago

Log in to reply

"You will realise you can change it, because a Triangle is stable."

TYPO: should be "can't"

Bob Krueger - 7 years, 4 months ago

Log in to reply

Whoops. I fixed it now

Yan Yau Cheng - 7 years, 4 months ago

Log in to reply


Problem Loading...

Note Loading...

Set Loading...