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Double-Angle Formulas 0

Trigonometry

Double-Angle Formulas

Select your language EnglishSpanish Let α be an angle. The double-angle (2α) trigonometric ratios can be expressed as a function of the trigonometric ratios of the angle α, that is, the double-angle formulas: Double-Angle...

Pythagorean theorem 0

Geometry

Pythagorean Theorem

Select your language EnglishSpanish The Pythagorean Theorem describes a special relationship between the legs of a right triangle and its hypotenuse. A right triangle has one right angle (90°) and two minor angles (<90°)....

Triangle Center 0

Geometry

Triangle Center

Select your language EnglishSpanish Some classical triangle centers are: Centroid (G) Orthocenter (H) Circumcenter (O) Incenter (I) Centroid of a Triangle The centroid of a triangle (or barycenter of a triangle) G is the...

Leg 0

Geometry

Leg

Select your language EnglishSpanish The legs (or catheti; singular: cathetus) are the sides in a right triangle that form its right angle (90°). The side opposite the right angle is called the hypotenuse. The...

Tangent 0

Trigonometry

Tangent

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

Triangle 0

Geometry

Triangle

Select your language EnglishSpanish A triangle is a polygon with three sides (a, b, and c). All three sides meet two by two at three points, called vertices (A, B, and C). In a...

Cosecant 0

Trigonometry

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...

Area of a triangle 0

Geometry

Area of a triangle

Select your language EnglishSpanish Finding the area of a triangle is depending on the type of triangle or which sides and angles we know. The most common formula for finding the area of a...

Area of an isosceles triangle 0

Geometry

Area of an Isosceles Triangle

Select your language EnglishSpanish The area of an isosceles triangle is calculated from the base b (the non-repeated side) and the height (h) of triangle corresponding to the base. The area is the product...

Thales’ Theorem 2

Geometry

Thales’ Theorem

Select your language EnglishSpanish There are several theorems that are attributed to Thales of Miletus, we are going to focus especially on two of them: Thales’ Theorem Thales’ Theorem is a special case of...

Cotangent 0

Trigonometry

Cotangent

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...