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A detailed tutorial on Julia sets and identifying Julia sets. Step by step tutorial including a several visual examples of a Julia set for reference.

A Julia set is a complimentary set defined from a function. A Julia set consists of values such that an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values. The behavior of the Julia set is classified as “chaotic”.

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A detailed tutorial on identifying the cofunction. Step by step tutorial including several examples of how to identify the cofunction for reference.

In math, we say that a function f is a cofunction of a function g if f(A) = g(B), and A and B are complimentary angles. Cofunctions are very often used with trigonometric functions like sine, cosine, and tangent. If you write a function in terms of its cofunction, it can make it easier to solve certain equations.

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A detailed tutorial on identifying reflexive angles. Step by step tutorial including several examples of how to identify reflexive angles for reference.

Reflexive angles are angles that are facing in the wrong direction – another common term for them is a negative angle. An angle is really from a circle, and a circle is 360 degrees around. Let’s just say you draw a 30 degree angle. There is a negative angle that is along the flip side of it – a 330 degree angle. This angle is called reflexive not because it is an opposite angle, but because it is over 180 degrees and less than 360 degrees. So to identify a reflexive angle, remember it must be less than the full circle, but cannot be stretched out to a straight line (on a visual representation).

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A detailed tutorial on identifying supplementary angles. Step by step tutorial including several examples of how to identify supplementary angles for reference.

Supplementary angles are angles which have the sum of their measurements add up to 180. If the two angles are adjacent, they should form a straight line, since 180 degrees has no true angle. Examples would be two 90 degree angles (right angles), or a 120 degree angle and a 60 degree angle. You can identify supplementary angles by adding up their measurements. If the answer is 180, the angles are supplementary.

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A detailed tutorial on identifying complimentary angles. Step by step tutorial including several examples of how to identify complimentary angles for reference.

Two angles are considered complimetary if their sum adds up to 90. For example, angles measuring 60 degrees and 30 degrees would be complimentary, as would two angles both measuring 45 degrees. You can identify a complimentary angle by adding up the degrees. If the result is 90, then the angles are complimentary.