Math Chapter 4 Vocabulary
bearing
A ___ measures the acute angle a path or line of sight makes with a fixed north-south line.
odd; even
A function f is ___ if f(-t)=-f(t) and ___ if f(-t)=f(t).
periodic
A function f is ___ if there exists a positive real number c such that f(t+c)=f(t) for all t in the domain of f.
harmonic motion
A point that moves on a coordinate line is said to be in simple ___ ___ if its distance d from origin at time t is given by either d=a sinωt or d=a cosωt.
angle
An ___ is determined by rotating a ray about its endpoint.
acute; obtuse
Angles that measure between 0 and π/2 are ___ angles, and angles that measure between π/2 and π are ___ angles.
unit circle
Each real number t corresponds to a point (x, y) on the ___ ___.
opposite/adjacent/hypotenuse
Relative to the angle θ, the three sides of a right triangle are the ___ side, the ___ side, and the ___.
linear
The ___ speed of a particle is the ratio of the arc length traveled to the time traveled.
coterminal
Two angles that have the same initial and terminal sides are ___.
complementary; supplementary
Two positive angles that have a sum of π/2 are ___ angles, whereas two positive angles that have a sum of π are ___ angles.
trigonometry
___ means "measurement of triangles."
elevation; depression
An angle that measures from the horizontal upward to an object is called the angle of ___, whereas an angle that measures from the horizontal downward to an object is called the angle of ___.
radian
One ___ is the measure of a central angle that intercepts an arc equal to the radius of the circle.
angular
The ___ speed of a particle is the ratio of the change in the central angle to time.
reference
The acute position angle that is formed by the terminal side of the angle θ and the horizontal axis is called the ___ angle of θ and is denoted by θ'.
degree
The angle measure that is equivalent to 1/360 of a complete revolution about an angle's vertex is one ___.
A=(1/2)r^2θ
The area of a sector of a circle with radius r and central angle θ, where θ is measured in radians, is given by the formula ___.
period
The smallest number c for which a function f is periodic is called the ___ of f.