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Trig Vocab
Trigonometry Definitions
| Term | Definition |
|---|---|
| Cosine | adjacent/hypotenuse ina right triangle; x in a unit circle. |
| Cotangent | adjacent/opposite in a right triangle; x/y in a unit circle. |
| Reference Angle | an acute angle in standard position formed by the terminal side of the agnle and the horizontal axis. |
| Central Angle | and angle whose vertex is the center of the circle |
| Acute Angle | angles between 0 and 90 degrees, between 0 and pi/2. |
| Obtuse Angle | angles between 90 and 180 degrees, between pi/2 and pi. |
| Coterminal Angle | angles that have the same initial and terminal sides. |
| Supplementary Angle | angles whose sum is 180 degrees or pi. |
| Complementary Angle | angles whose sum is 90 degrees or pi/2. |
| Degree | eqiivalent to a rotation of 1/360 of a complete revolution/ circle. |
| Secant | hypotenuse/ adjacent in a right triangle; 1/x ina unit circle. |
| Cosecant | hypotenuse/ opposite ina right triangle; 1/y ina unit circle. |
| Trigonometry | measurment of angles. |
| Tangent | opposite/ adjacent in a right tirangle; y/x ina unit circle. |
| Sine | opposite/ hypotenuse in a right triangle; y in a unit circle. |
| Angle of Depression | the angle from the horizontal downward to an object. |
| Angle of Evalation | the angle from the horizontal upward to an object. |
| Unit Circle | the circle given by x^2 + y^2 = 1; a circle with a radius of 1. |
| Vertex | the endpoint of the rays. |
| Radian | the measure of the central angle that intercepts an arc (s) equal in length to the radius (r) of the circle. |
| Terminal Angle | the ray's position after rotation. |
| Initial Side | the starting position of the ray of an angle. |
| Angle | two rays with a comon endpoint; is determined by rotating a ray about its endpoint. |
| Standard Position | when the origin is the vertex and the initial side coincides with the positive x-axis. |
| Amplitude | the absolute value of a in the function y = a sin x or in y = a cos x; it represents half of the distance between the maximum and minimum values of the function. |
| Period | for sine and cosine, the ______ is 2pi. For tangent, it is pi. |
| Phase Shift | whena graph is moved to the left or right; also called a horizontal translation. |
| Damping Factor | the product of two functions, such as f(x) = x sin x. |
| Inverse Sine Function | y = arcsin x or y = sin^-1 x |
| Inverse Cosine Function | y = arccos x or y = cos^-1 x |
| Inverse Tangent Function | y = arctan x or y = tan^-1 x |
| Oblique Triangle | triangles with no right angle. |
| Law of Sines | a/ sin A b/ sin B c/ sin C |
| Law of Cosine | one standard form of this equation is c^2 = a^2 + b^2 - 2ab cos C. |
Created by:
cmsumpter
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