Chapter 4

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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


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