Trigonometry

Trigonometry, abbreviated as TRIG, is a branch of mathematics that deals with the relations between the sides and angles of plane or spherical triangles.  For other math terms see Algebra and Geometry.

Mathematic Symbols and Examples

Nomenclature & Symbols for Engineering, Mathematics, & Science

Trigonometry Terms

A

  • Arccos - The inverse cosine.
  • Arccot - The inverse cotangent.
  • Arccsc - The inverse cosecant.
  • Arcsec - The inverse secant.
  • Arcsin - The inverse sine.
  • Arctan - The inverse tangent.

C

  • Cosecant (csc, cosec) - The ratio of the hypotenuse over opposite side in a right triangle.
  • Cosine (cos) - The ratio of the adjacent side of the hypotenuse in a right triangle.
  • Cotangent (cot, ctg) - The ratio of the adjacent side to the oposite in a right triangle.

H

  • Hyporenuse - The side of right triangle opposite the right angle, which is the longest side.

I

  • Infinite - Having no boundary.

L

  • Law of cosines - An equation relating to cosine of an interior angle and the lengths of the sides of a triangle.
  • Law of sines - The ratio of the sine of any angle within any specific triangle and the length for the opposite side is a constant.

O

  • Orthocenter - The point of concurrence of the altitudes of the triangle.
  • Orthogonal - Perpendicular to a plane.

P

  • Pythagorean theorem - An equation relating the lengths of the sides of a right triangle.  The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
  • Proportional - In a constant ratio.

R

  • Ratio - A constant proportion or two real numbers divided by each other.

S

  • Sine (sin) - The ratio of the length of the opposite side to the length of the hypotenuse.

T

  • Tangent (tan) - The ratio of the opposite side to the adjacent side of a right triangle.
  • Tangent line - A line that touches the graph of the function at a single point.
  • Tangent of a circle - A line that contacts an arc or circle at only one point.
  • Trig functions - sine, cosine, tangent, cosecant, secant, and cotangent

X

  • X-axis - The horizontal axis on a coordinate system.

Y

  • Y-axis - The vertical axis on a coordinate system.

 

Display #
Title
Arccosecant
Arccosine
Arccotangent
Arcsecant
Arcsine
Arctangent
Cosecant
Cosine
Cotangent
Law of Cosines
Law of Sines
Secant
Sine
Tangent
Trig Function Abbreviations
Trig Function Equations
Trig Functions