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Sum and Difference Identities and Formulas 0

Sum and Difference Identities and Formulas

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...

Cosine 0

Cosine

Select your language EnglishSpanish In a right triangle, the cosine of an angle θ is defined as the ratio of the adjacent leg (b) to the hypotenuse (c). It is one of the trigonometric...

Right triangle 0

Right Triangle

Select your language EnglishSpanish A right triangle is a polygon with three sides that has one angle (α) that measures 90° which is the largest angle of the right triangle. If we add all...

Incenter of a triangle 0

Incenter of a triangle

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...

Cosecant 0

Cosecant

Select your language EnglishSpanish The cosecant is the reciprocal trigonometric ratio of the sine. It is the reciprocal or multiplicative inverse of the sine, that is, csc θ · sin θ = 1. In a right triangle, the cosecant of...

Heron's Formula 0

Heron’s Formula

Select your language EnglishSpanish Heron’s Formula gives the area of a triangle when we know all three sides. The area is calculated from the semiperimeter of the triangle, s and the length of the...

Geometric mean theorem 10

Geometric Mean Theorem

Select your language EnglishSpanish Geometric mean (or mean proportional) appears in two popular theorems regarding right triangles. The geometric mean theorem (or altitude theorem) states that the altitude to the hypotenuse of a right...

Median of a triangle 0

Median of a triangle

Select your language EnglishSpanish The median of a triangle is a line segment that joins one of its vertices with the center of the opposite side. Every triangle has three medians (ma, mb and...

Basic Elements of a Triangle 0

Basic Elements of a Triangle

Select your language EnglishSpanish The basic elements of a triangle are: Vertices: points where two sides meet. It has 3 vertices (A, B, and C). Sides: line segments that join two consecutive vertices of...

The elements of a right triangle 0

Basic Elements of a Right Triangle

Select your language EnglishSpanish In a right triangle, different elements can be distinguished, referring to its sides and angles. Legs (or cathetus): are the sides of the triangle that together form the right angle....