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# Trignomotry

TermDefinition
Radians A unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius.
Degrees A unit of measurement of angles, one three-hundred-and-sixtieth of the circumference of a circle: "set at an angle of 45 degrees".
Coterminal Angle Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.
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 Cicle The circle with radius 1 which is centered at the origin on the x-y plane.
Reference angle Is an acute version of that angle
Sine Written sin θ, Opposite/hypontenuse
Cosine For acute angles, cos θ, Adjacent/hypotenuse
Tangent tan θ equals Sinθ/Cosθ
Cosecant The ratio of the hypotenuse (in a right-angled triangle) to the side opposite an acute angle; the reciprocal of sine
Secant The ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.
Cotangent The ratio of the side (other than the hypotenuse) adjacent to a particular acute angle to the side opposite.
Inverse The quantity which cancels out the a given quantity
Arcsin 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: alvarezm1480