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.