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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...

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...

Euler Line 0

Geometry

Euler Line

Select your language EnglishSpanish In any non-equilateral triangle the orthocenter (H), the centroid (G) and the circumcenter (O) are aligned. The line that contains these three points is called the Euler line. In an...

Hypotenuse 0

Geometry

Hypotenuse

Select your language EnglishSpanish The hypotenuse of a right triangle (or right-angled triangle) is the side opposite its right angle. It is the longest side of a right triangle. We can find the hypotenuse...

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...

Geometry 0

Mathematics

Geometry

Select your language EnglishSpanish GEOMETRY What is geometry? Straight line Polygon Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Conic Section Circle, Semicircle, and Annulus Polyhedron Prism Pyramid Regular polyhedron Surface Area of Revolution Shapes in...

Leg Rule 0

Geometry

Leg Rule

Select your language EnglishSpanish The Leg Rule (or Leg geometric mean theorem) relates the length of each leg of a right triangle with the segments projected by them on the hypotenuse. Divide the right...

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...

Arctangent 0

Trigonometry

Arctangent

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...

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...