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Tangent

Tangent of an acute angle is the ratio of the opposite collet measurement to the adjacent collet measurement. Thus: Example: Remarks: 1. The tangent of an acute angle can be defined as the ratio between the sine of this angle and its cosine. Thus: 2. The tangent of an acute angle is a positive real number.
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Challenge 142

Discover the King's Name Difficulty Level: Discover the name of a famous king through this charade: “With five hundred begins. In the middle is the five; The first number, the first letter occupy the other positions. Put it all together and name the great king In front of you will appear ”Challenge 141 Adroaldson's Wallet Challenge Index Next >> Challenge 143 Ice Cream Promotion
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Baricenter of a triangle

Note the triangle in the following figure, where M, N, and P are the midpoints of the sides, respectively. Therefore, the medians of this triangle are: We call baricenter (G) the intersection point of the medians of a triangle. This point divides the median relative to one side into two parts: the one from the vertex to the baricenter is twice the median from the one from the baricenter to the midpoint of the side.
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Seeing is believing… (III)

There is interesting evidence for the imagination of the "destruction of science" as a reliable means of "detecting true reality". Democritus's "ball" could not withstand the overwhelming mathematical pressure and eventually split into electrons, protons and neutrons. Protons and neutrons, in turn, had to split into quarks and electrons became "mathematical clouds" making self-consciousness return to the original "cloudiness" of "world reality."
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Potentiation and square root

Potentiation The powers in which the base is a decimal number and the exponent a natural number follow the same rules of this operation, already defined. So: (3.5) 2 = 3.5 · 3.5 = 12.25 (0.64) 1 = 0.64 (0.4) 3 = 0.4 · 0.4 · 0.4 = 0.064 (0.18) 0 = 1 Square Root The square root of a decimal number can be easily determined by turning it into a decimal fraction.
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Jail rule

With the rules we have at our disposal so far, we cannot calculate some types of derivatives. We will now look at the chain rule, a formula for the derivative of the function composed of two functions. Created by Gottfried Leibniz, the chain rule was very important for the advancement of differential calculus.
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