In my previous post, I introduced you to one of the most fundamental, basic concepts of trigonometry: the sine definition. I explained to you what exactly it is, and how it can be used. Similarly, there are a few other basic trigonometry functions that you need to know so that you can solve these types…

# Blog

#### Trigonometry – Sine Definition

Solving trigonometry problems can be easy, but it first requires you to have a solid understanding of the basic trig functions. There are three of these functions, and the first one I will discuss is SINE. In subsequent posts, I will highlight the other two functions: cosine and tangent. The sine definition relates an angle of…

#### Inverse Trig Functions

Inverse trig functions are a core concept in trigonometry, and you’re probably already used to using them without even knowing what they are. Specifically, they are named arcsin, arccos, and arctan (or, their full names: arcsine, arccosine, arctangent). We have already discussed how to find things such as the sine of 25 degrees, or cosine…

#### Pythagorean Identities

Pythagorean Identities in trigonometry will show up very frequently and can be very useful. I will explain how Pythagorean Identities get their name, how you can derive them, and how you can remember them. First, it would be a good idea for you to be able to understand the basic trig functions sine, cosine, and tangent….

#### Domain of a Line

When working with functions in mathematics, one problem you will frequently be asked is to find the domain of a lineor identify domain and rangeof a graph. This is a relatively simple problem to solve, once you know what is meant by these terms. If not, you might first ask “what is domain and range?”…

#### Trigonometry: Special Angle Triangles

Trigonometry is the type of math that you use when you want to work with angles. Luckily, some angles are used so frequently that they have their own dedicated name and shortcuts that you can memorize. These are called special angles in trigonometry, and you can use special angle triangles to help. Special angles are…

#### What is Trigonometry?

Try asking any number of young math students the question “what is trigonometry?” Inevitably, you will learn that itis one of the most feared subjects in math that students have to learn. However, solving these questions and equations is much easier than they often give it credit for. (For some interesting background history and applications…

#### The Meaning of Letter Symbols in Math

With the new school year upon us (in many parts of the world), now is a good time for teachers to consider what they plan on teaching to their students this year. Undoubtedly, many teachers will just stick to the curriculum prescribed to them by their school district. But, is that always the “best” way…

#### Amazing Examples of Architecture Inspired by Mathematics

Many times, students fail to see the importance of mathematics, and the relevance of it to everyday, real-world life. Math is much more than just numbers and symbols that you deal with in school and on exams. There are many, many uses of mathematics throughout life, and the stronger one’s math skills are, the more…

#### Stretching Graphs and Compressing Graphs

If you understand how to shift a curve horizontally or vertically, stretching and shrinking graphs isn’t much different. Once again, it’s only a small modification to the equation that causes the stretch or compression. Stretching and compressing graphs vertically is determined by the coefficient in front of the x (or more specifically, in front of…