Trigonometry

The relationship between 1 radian and the radius of a circle

What are Radians and Why we Use them

What are Radians and Why we Use them 794 717 Jeff
A radian is the natural unit of angles, but why do we use them instead of degrees. In this post we discuss the relationship between angles, radians and degrees. read more

Proving and Using the Pythagorean Theorem

Proving and Using the Pythagorean Theorem 589 281 joshua
Here we will look at one of the most important equations in geometry: the Pythagorean Theorem. We will begin by defining the Pythagorean Theorem and then we will demonstrate a short proof. Finally, we will look at two examples of how we might use the the Pythagorean Theorem in a real-world context. read more

The Pythagorean Theorem

The Pythagorean Theorem 960 664 Teaching Staff

Triangles are an important shape that come up all over the place in life, which is why trigonometry is one of the most important fields of mathematics. Pythagorean theorem is…

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Working with Log

Working with Log 2100 1500 Teaching Staff

                                                           …

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Proving (or Disproving) Triangles are Similar

Proving (or Disproving) Triangles are Similar 660 440 Teaching Staff

Definition: Similar triangles have equal corresponding angles and proportional sides.   There are three main methods to prove triangles are similar. The information provided in the question dictates which approach…

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Math Review of Trigonometry and Navigation

Math Review of Trigonometry and Navigation 150 150 Deborah

Overview Trigonometry in the form of triangulation is at the heart of navigation, whether it is by land, sea, or air. GPS systems use triangulation to find and fix positions,…

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The Measurement of Parallax: Angles We Have Seen on High

The Measurement of Parallax: Angles We Have Seen on High 150 150 Deborah

Overview The demonstration of parallax is as close as an observer’s own two eyes. It is the measurement of how the same object appears from two different points of view.…

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Math Review of Platonic Solids and Polyhedra

Math Review of Platonic Solids and Polyhedra 150 150 Deborah

Overview There are infinitely many regular polygons. However, there are a fixed number of regular polyhedra, called Platonic solids. Mathematicians use the definitions of the regular polygons and the characteristics…

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Math Review of More Properties of Circular Functions

Math Review of More Properties of Circular Functions 150 150 Deborah

Overview The unit circle has as its center the origin point of the Cartesian coordinates x and y, and has a radius 1. The trigonometric functions are also called circular…

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Math Review of Applications of Circular Functions

Math Review of Applications of Circular Functions 150 150 Deborah

Overview Circular trigonometric functions can be applied to situations in physical, biological, and social sciences involving data that follows a pattern that is not linear. Many of those patterns are…

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