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# Chapter 6 Vocab

### Notes

TermDefinition
Sine In a right triangle, it is the ratio of the opposite leg to the hypotenuse.
Cosine In a right triangle, it is the ratio of the adjacent leg to the hypotenuse.
Tangent In a right triangle, it is the ratio of the opposite leg to the adjacent leg.
Cosecant The reciprocal of Sine.
Secant The reciprocal of Cosine.
Cotangent The reciprocal of Tangent.
Arcsine The inverse of Sine.
Arccosine The inverse of Cosine.
Arctangent The inverse of Tangent.
Standard Position The initial side lies on the positive x-axis and the vertex is at the origin.
Radian It is converted to degrees by multiplying by 180 degrees/Pi and is the measure of a central angle whose sides intercept an arc that is the same length as the radius of the circle.
Periodic A function that repeats itself on a given interval.
Arc Length (Equation/Definition) It is equal to the product of the measure of the radius of the circle r and the radian measure of the central angle theta that it subtends.
Area of a Sector (Equation/Definition) Part of a circle bounded by the central angle and the intercepted arc. It is determined by taking one half of the radius squared times theta.
Angular Velocity (Equation/Definition) Is the ratio of change in the central angle in radians to the time required for the change. Also represented by the Greek Letter Omega.
Linear Velocity Is the ratio of change in the length to the time required for the change
Quadrantal Angle (Chapter #5) The angles whose terminal sides lie on an axis.
The parts to y = A sin ( k@ - c) + h A is the amplitude, k is used to determine the period, c is used to determine the phase shift, h is used to determine the vertical shift.
Amplitude In a function y = A sin x, it is the absolute value of A.
Period (Equation/Definition) It is found by taking 2 pi/k. It is the length on the domain of the graph where the function repeats.
Phase Shift (Equation/Definition) A horizontal translation of a trigonometric function. It is found by taking c/k, where k >0. If c < 0, the shift is to the left. If c > 0, the shift is to the right.
Vertical Shift It is the value h in the equation. If h>0, the graph moves upward. If h< 0, the graph moves downward
Dimensional Analysis Is the process of treating unit labels as mathematical factor affected by division.
Created by: Chuckee23