Triangle problems are some of the most common types of mathematics problems you will find when first studying geometry and trigonometry. Some might argue that one triangle concept in particular, the Pythagorean Theorem, is one of the most famous and well-known concepts of all! I have gone into detail on this blog about several trigonometry…

# Category: Trigonometry

## Trigonometry – Cosine Law

The Cosine Law works similarly to the Sine Law that I have already discussed. Actually, it may seem somewhat familiar to you. While the Cosine Law can be used on any triangle, the Pythagorean Theorem is a specific case of the Cosine Law which strictly applies to right angle triangles. It’s a bit more of…

## Trigonometry – Sine Law

The trig functions that I’ve discussed so far (Sine, Cosine, and Tangent) will be incredibly useful to you when working specifically with right angle triangles. However, of course, not all triangles have a 90 degree angle in them. So can you still use these functions? Well, yes, but in a different way. One way is…

## Trigonometry – Secant, Cosecant, Cotangent

In addition to the three basic trig functions we’ve already looked at (Sine, Cosine, Tangent), there are three other related functions. These are Secant, Cosecant, and Cotangent. These functions have similar meanings as the first three, in that they represent the ratios of various side lengths of a right angle triangle, and can be used…

## Trigonometry – Tangent Definition

Be be successful in math, and especially trigonometry, you really need to understand the basic trig functions. The first of these functions I presented to you was sine, and then I followed that up with a closer look at cosine. Today, I want to talk about the third of the three basic trig functions –…

## Trigonometry – Cosine Definition

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…

## 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….

## 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…