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Trigonometry Stack

TermDefinition
Radians A unit of measure for angles. One radian is the angle made at the center of a circle by an arc whose length is equal to the radius of the circle.
Degrees Degrees are a unit of angle measure. A full circle is divided into 360 degrees. For example, a right angle is 90 degrees. A degree has the symbol ° and so ninety degrees would written 90°. Another unit of angle measure is the radian.
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 Angles in the standard position where the terminal side lies on the x or y axis. For example: 90°, 180° etc.
Unit Circle The "Unit Circle" is a circle with a radius of 1.
Reference Angle The smallest angle that the terminal side of a given angle makes with the x-axis.
Sine In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse.
Cosine In a right triangle, the cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse.
Tangent In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
Cosecant In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the opposite side. In a formula, it is abbreviated to just 'csc'.
Secant In a right triangle, the secant of an angle is the length of the hypotenuse divided by the length of the adjacent side. In a formula, it is abbreviated to just 'sec'.
Cotangent In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side. In a formula, it is abbreviated to just 'cot'.
Inverse For every trigonometry function such as sin, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. So the inverse of sin is arcsin etc.
Arcsin The arcsin function is the inverse of the sine function. It returns the angle whose sine is a given number.
Arccos The arccos function is the inverse of the cosine function. It returns the angle whose cosine is a given number.
Arctan The arctan function is the inverse of the tangent function. It returns the angle whose tangent is a given number.
Law of Sines The law of sines is used to find angles of a general triangle. If two sides and the enclosed angle are known, it can be used in conjunction with the law of cosines to find the third side and the other two angles.
Law of Cosines The law of cosines for calculating one side of a triangle when the angle opposite and the other two sides are known. Can be used in conjunction with the law of sines to find all sides and angles.
Created by: Ranoiaetep