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Trig Vocab

Trigonometry Definitions

TermDefinition
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