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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...

Similar triangles 0

Geometry

Similar triangles

Select your language EnglishSpanish In Euclidean geometry, two objects are similar if they are the same shape, regardless of their size. Two triangles are similar if, and only if, their angles are congruent (equal)...

Perimeter of a right triangle 0

Geometry

Perimeter of a Right Triangle

Select your language EnglishSpanish The perimeter of a right triangle is the sum of the lengths of the two legs and the hypotenuse (in other words, the sum of all three sides). Download this...

Arccosine 2

Trigonometry

Arccosine

Select your language EnglishSpanish The arccosine (notation: arccos or cos-1) is the inverse function of the cosine. That is: As the arcsine and sine are inverse functions, their composition is the identity. That is:...

Types of triangles 1

Geometry

Types of triangles

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,...

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...

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...

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...