| A | B |
|---|
| Geometric mean | For any positive numbers a and b, the postive number x such that a over x equals x over b. |
| Pythagorean triple | A group of three whole number that satisfies the equation a squared plus b squared equals c squared where c is the greatest number. |
| Trigonometric ratio | A ratio of the lengths of sides of a right triangle. |
| Law of Sines | Let triangle ABC be any triangle with a, b, and c representing the measures of sides opposite the angles with meausres A, B, and C respectively. Then, sinA over a equals sinB over b equals sinC over c. |
| Law of Cosines | Let triangle ABC be any triangle with a, b, and c representing the measuers of the sides opposite the angles with measures A, B, and C respectively. Then the following equations are true: a squared equals b squared plus c sqaured minus 2bcCosA; b squared equals a squared plus c squared minus 2acCosB; c squared equals a squared plus b squared - 2abCosC |
| Trigonometry | The study of the properties of triangles and trigonometric functions and their applications. |
| Tangent | For an acute angle of a right triangle, the ratio of the measure of the leg opposite the acute angle to the measure of the leg adjacent to the acute angle. |
| Sine | For an acute angle of a right triangle, the ratio of the measure of the leg opposite the acute angle to the measure of the hypotenuse |
| Cosine | For an acute angle of a right triangle, the ratio of the measure of the leg adjacent to the acute angle to the measure of the hypotenuse. |
| Angle of Elevation | The angle between the line of sight and the horizontal when an observer looks upward. |
| Angle of Depression | The angle between the line of sight and the horizontal when an observer looks downward. |
| Ambiguous Case | Given the measures of two sides and a nonincluded angle, there exists two possible triangles |
| Trigonometric Identities | An equation involving a trigonometric ratio that is true for all values of the angle measure. |
| Reciprocal Identities | Each of the three trigonometric ratios called cosecant, secant, and cotangent, that are recipricals of sine, cosine and tangent, respectively |
| Pythagorean Identity | The dientity cos squared theta plus sin squared theta equals 1. |
