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Explaining Trigonometric Ratios: Sin

20 April 2021

Trigonometric ratios are the functions relating to a right-angled triangle. As everyone knows, a triangle has three sides: the hypotenuse (the longest side), the perpendicular (side opposite to the angle), and the base (side adjacent to the angle). Relationship Between Sine and Other Trigonometric Ratios Trigonometric ratios express the sides of a right-angled triangle. There are six […]

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What is a Shifting Function

3 April 2021

Most people have seen some basic graphs before. Graphs are pictorial representations of data and values along axes. By understanding basic graphs and how to apply translations to them, you'll realize that each new graph is a variation of the old one. It is not a completely different graph than you've ever seen before. Understanding […]

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Heron’s Formula Explained

3 April 2021

The perimeter of a triangle is its three sides added together. The area of a triangle is quite interesting. It will usually be expressed as area = (1/2) x base x height, A = (1/2)b*h, where height is measured as a vertical line from the base to the opposite vertex. This formula makes calculating the […]

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Fundamental Rules of Exponents

3 April 2021

Knowing the fundamental rules of exponents will help you simplify mathematical equations and statements so you can arrive at a solution with relative ease. As with everything, it may take some practice to get the hang of working with exponents. But if you take your time, don't allow yourself to be overwhelmed by variables, and memorize each rule, […]

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Explaining Trigonometric Ratios: cos

3 April 2021

Trigonometry examines the relationship between the sides of a triangle, more specifically, right triangles. A right triangle has a 90° angle. The equations and ratios that describe the relationship between the sides of a triangle and its angles are trigonometric functions. In this particular article, we're going to explain one specific ratio: "cos" or cosine. […]

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Understanding the Discriminant in a Quadratic Formula

3 April 2021

A quadratic equation in algebra is an equation in which the unknown variable's highest power is 2. You write quadratic equations using the following formula: ax² + bx + c = 0 Some quick examples of quadratic equations include: 2x² + 5x – 8 = 0 7x² + 9 = 0 xx² – 26 = 3x […]

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Using Slope-intercept Form

3 April 2021

The slope-intercept form is the most common linear equation format. Although this form, written as y=mx+b, can look odd and confusing due to its use of variables, it is easy to use with proper explanation and practice. Even more, you can extract vast amounts of information from a single equation. The Basics As mentioned previously, […]

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Tips for simplifying Algebraic Fractions

3 April 2021

An algebraic fraction is any fraction that uses a variable in the numerator or denominator. For example, the variable x in the fraction x/3 makes it an algebraic fraction. In algebraic fractions, you cannot divide by zero. As such, the denominator has certain restrictions. Take a look at the illustrations below. In the fraction 5/x, […]

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Understanding Imaginary Numbers

3 April 2021

The term "imaginary number" describes any number that, when squared, gives a negative result. When you consider that man invented all numbers, you can also consider working with imaginary numbers. It's acceptable to invent new numbers as long as it works within the bounds of the rules that are already in place. Simply put, an imaginary […]

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Difference Between Mean, Median, and Mode

3 April 2021

We deal with numbers all the time, whether it's on an individual or corporate level. But rough numbers or data sets don't make a whole lot of sense until we have proper tools to study them. Mean, median, and mode are some of those tools. If you're looking at a large group of data, these terms can […]

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