Chapter 4
The period of y = csc x is _________.
2 pi
The range of y = sec x is _________.
All real numbers except 1 and -1
The _________ of sine or cosine curve represents half the distance between the maximum and minimum values for the function.
Amplitude
A _________ measures the acute angle that a path or line of sight makes with a fixed north-south line.
Bearing
Cofunctions of _________ angles are equal.
Complementary
Two positive angles that have a sum of pi/2 are _________ angles, whereas two positive angles that have a sum of pi are _________ angles.
Complementary supplementary
Sec theta = _________?
Cos theta
x/y = _________?
Cot theta
Two angles that have the same initial and terminal sides are _________.
Coterminal
r/y = _________?
Csc theta
One period of a sine or cosine function is called one _________ of the sine or cosine curve.
Cycle
For the function f(x) = g(x) * sin x, g(x) is called the _________ factor of the function f(x).
Damping
The angle of measure that is equivalent to a rotation of 1/360 of a complete revolution about an angle's vertex is one _________.
Degree
An angle that measures from the horizontal upward to an object is called the angle of ________, whereas an angle that measures from the horizontal to an object is called the angle of _________.
Elevation Depression
The number of cycles per second of a point in simple harmonic motion is its _________.
Frequency
A point that moves on a coordinate line is said to be in simple _________ _________ when its distance d from the origin at time t is given by either d = a sine wt or d = a cos wt.
Harmonic motion
Without restrictions, no trigonometric function has an _________ function.
Inverse
The _________ speed of a particle is the ratio of the arc length to the time traveled, and the _________ speed of a particle is the ratio of the central angle to the time traveled.
Linear
A function f is _________ when f(-t) = -f(t) and _________ when f(-t) = f(t).
Odd Even
The tangent, cotangent, and cosecant functions are _________, so the graphs of these functions have symmetry with respect to the _________.
Odd Origin
Relative to the acute angle theta, the three sides of a right triangle are the _________ side, the _________ side, and the __________.
Opposite Adjacent Hypotenuse
The smallest number v for which a function f is peridodic is called the _________ of f.
Period
The time for one complete cycle of a point in simple harmonic motion is its ________.
Period
A function f is _________ when there exists a positive real number c such that f(t + c) = f(x) for all t in the domain of f.
Periodic
For the function y = a sin (bx - c), c/b represents the _________ _________ of the graph of the function .
Phase shift
The period of y = tan x is _________.
Pi
The area A of a sector of a circle with radius r and central angle theta, where theta is measured in radians, is given by the formula _________.
R squared/2 theta
One _________ is the measure of a central angle that intercepts an arc equal to the radius of the circle.
Radian
To sketch the graph of a secant or cosecant function, first, make a sketch of its _________ function.
Reciprocal
Chapter 4
Section 1
Chapter 4
Section 2
Chapter 4
Section 3
Chapter 4
Section 4
Chapter 4
Section 5
Chapter 4
Section 6
Chapter 4
Section 7
each real number r corresponds to a point (x,y) on the _________ _________.
Unit circle
The graphs of the tangent, cotangent, secant, and cosecant functions have _________ aymptotes.
Vertical
For the function y = d + a cos(bx - c), d represents a _________ _________ of the graph of the function.
Vertical transformation
Because r = the square root of x squared + y squared cannot be ________, the sine and cosine functions are _________ for any real value of theta. _________ angle of theta and is denoted by theta prime.
Zero Defined Reference
x/r = ________?
cos theta
The domain of y = cot x is all real numbers such that ________.
x does not equal n-pi
Sin theta = _________?
y/r
Tan theta = ________?
y/x; x cannot equal zero
