Trigonometry

trigonometry banner 12Trigonometry, abbreviated as TRIG, is a branch of mathematics that deals with the relations between the sides and angles of plane or spherical triangles.

 

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Mathematics Symbols

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Trigonometry Nomenclature & Symbols

  • \( arccsc \)  -  arccosecant
  • \( arccos \)  -  arccosine
  • \( arccot \)  -  arccotangent
  • \( arcsec \)  -  arcsecant
  • \( arcsin \)  -  arcsine
  • \( arctan \)  -  arctangent
  • \( csc \;/\; cosec \)  -  cosecant
  • \( cos \)  -  cosine
  • \( cot \;/\; ctg \)  -  cotangent
  • \( sec \)  -  secant
  • \( sin \)  - sine
  • \( tan \)  -  tangent
  • \( TRIG \)  -  trigonometry

 

Trigonometry Glossary

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  -  The ratio of the hypotenuse over opposite side in a right triangle.
  • Cosine  -  The ratio of the adjacent side of the hypotenuse in a right triangle.
  • Cotangent  -  The ratio of the adjacent side to the oposite in a right triangle.

D

E

F

G

H

  • Heron's formula   -   A formula for the area of a triangle when the lengths of the three sides are known.
  • Hyporenuse  -  The side of right triangle opposite the right angle, which is the longest side.

I

  • Infinite  -  Having no boundary.
  • Inverse statement   -   Disaliow both the hypohesis and conclusion of the origional statement.

J

K

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.

M

N

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.

Q

R

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

S

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

T

  • Tangent  -  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

U

V

W

X

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

Y

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

Z

 

 

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