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Triginometry

TermDefinition
radins A unit for measuring angles. 180° = π radians, and 360° = 2π radians. The number of radians in an angle equals the number of radii it takes to measure a circular arc described by that angle.
degrees A unit of angle measure equal to of a complete revolution. There are 360 degrees in a circle. Degrees are indicated by the ° symbol, so 35° means 35 degrees.
co-terminal angle Coterminal Angles Angles which, drawn in standard position, share a terminal side. For example, 60°, -300°, and 780° are all coterminal.
quadrantal angle An angle with terminal side on the x-axis or y-axis. That is, the angles 0°, 90°, 180°, 270°, 360°, 450°, ... as well as –90°, –180°, –270°, –360°, ...
unit circle The circle with radius 1 which is centered at the origin on the x-y plane.
reference angle For any given angle, its reference angle is an acute version of that angle. In standard position, the reference angle is the smallest angle between the terminal side and the x-axis. The values of the trig functions of angle θ are the same as the trig valu
sine The trig function sine, written sin θ. For acute angles, sin θ can be found by the SOHCAHTOA definition as shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. Finally, f(x) = sin x is a periodic func
cosine The trig function cosine, which is written cos θ. For acute angles, cos θ can be found by the SOHCAHTOA definition, shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = cos x is a periodic func
tangent he trig function tangent, written tan θ. tan θ equals . For acute angles, tan θ can be found by the SOHCAHTOA definition as shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = tan x is a perio
cosecant The trig function cosecant, written csc θ. csc θ equals . For acute angles, csc θ can be found by the SOHCAHTOA definition, shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = csc x is a perio
secant The trig function secant, written sec θ. sec θ equals . For acute angles, sec θ can be found by the SOHCAHTOA definition as shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = sec x is a perio
cotangent The trig function cotangent, written cot θ. cot θ equals or . For acute angles, cot θ can be found by the SOHCAHTOA definition, shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = cot x is a
inverse The quantity which cancels out the a given quantity. There are different kinds of inverses for different operations.
arcasin the inverse function of the sine; the angle that has a sine equal to a given number
arccos the inverse function of the cosine; the angle that has a cosine equal to a given number
arctan the inverse function of the tangent; the angle that has a tangent equal to a given number
law of sines Equations relating the sines of the interior angles of a triangle and the corresponding opposite sides.
law of cosines An equation relating the cosine of an interior angle and the lengths of the sides of a triangle.
Created by: SarahLiz87