## Mathematical Way Blog

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*"As for everything else, so for mathematical theory: beauty can be perceived but not explained."* - **ARTHUR CAYLEY**

Select your language EnglishSpanish Angle sum and difference identities express trigonometric functions of sums of angles α ± β in terms of functions of α and β. Using the sum and difference formulas allows us to...

Select your language EnglishSpanish The perimeter of an isosceles triangle is obtained as the addition of the three sides of the triangle. Having two equal sides, the perimeter is twice the repeated side (a)...

Select your language EnglishSpanish Every triangle has lines (also called cevians) and points that determine a number of important elements. There are many different constructions that find a special point associated with a triangle,...

Select your language EnglishSpanish The perimeter of a triangle is the sum of its three sides. The formula for the perimeter of a triangle depends on the type of triangle. But there is a...

Select your language EnglishSpanish The incenter of a triangle (I) is the point where the three interior angle bisectors (Ba, Bb y Bc) intersect. The angle bisector of a triangle is a line segment...

Select your language EnglishSpanish The right triangle has a right angle (90°), so its height coincides with one of its sides (a) and its base with the other side (b). The area of a...

Select your language EnglishSpanish The equilateral triangle is the regular polygon simplest. Its three sides are equal. Therefore, their angles are also the three equal. Since all angles are equal and the angles are...

Select your language EnglishSpanish Triangles can be classified by their sides or by their angles. According to these, we can assert that there are basically six different types of triangles: equilateral triangle, isosceles triangle,...

Select your language EnglishSpanish The arctangent (notation: arctan or tan-1) is the inverse function of the tangent. That is: As the arctangent and tangent are inverse functions, their composition is the identity. Thus: Properties...

Select your language EnglishSpanish The cotangent is the reciprocal trigonometric ratio of the tangent. It is the reciprocal or multiplicative inverse of the tangent, that is, tan θ · cotθ = 1. In a right triangle, the cotangent of...

Select your language EnglishSpanish The circumcenter of a triangle (O) is the point where the three perpendicular bisectors (Ma, Mb y Mc) of the sides of the triangle intersect. It can be also defined...