 8.1: In Exercises 14, convert the angle to radians.330
 8.2: In Exercises 14, convert the angle to radians.315
 8.3: In Exercises 14, convert the angle to radians.225
 8.4: In Exercises 14, convert the angle to radians.6
 8.5: In Exercises 57, convert the angle from radians to degrees.3 2
 8.6: In Exercises 57, convert the angle from radians to degrees.180
 8.7: In Exercises 57, convert the angle from radians to degrees. 5/
 8.8: In Exercises 810, what angle in radians corresponds to the given nu...
 8.9: In Exercises 810, what angle in radians corresponds to the given nu...
 8.10: In Exercises 810, what angle in radians corresponds to the given nu...
 8.11: If you start at the point (1, 0) on the unit circle and travel coun...
 8.12: Simplify the expressions in Exercises 1213.cos2 A 1 + sin A
 8.13: Simplify the expressions in Exercises 1213.sin 2A tan 2A + 2 cos 2A
 8.14: In Exercises 1416, find the arc length corresponding to the given a...
 8.15: In Exercises 1416, find the arc length corresponding to the given a...
 8.16: In Exercises 1416, find the arc length corresponding to the given a...
 8.17: Without a calculator, match the graphs in Figure 8.64 to the follow...
 8.18: In Exercises 1820, state the period, amplitude, and midline.y = cos...
 8.19: In Exercises 1820, state the period, amplitude, and midline.y = sin...
 8.20: In Exercises 1820, state the period, amplitude, and midline.6y = 12...
 8.21: In Exercises 2124, in which quadrant is a point with the polar coor...
 8.22: In Exercises 2124, in which quadrant is a point with the polar coor...
 8.23: In Exercises 2124, in which quadrant is a point with the polar coor...
 8.24: In Exercises 2124, in which quadrant is a point with the polar coor...
 8.25: Convert each of the polar coordinates in Exercises 2528 to Cartesia...
 8.26: Convert each of the polar coordinates in Exercises 2528 to Cartesia...
 8.27: Convert each of the polar coordinates in Exercises 2528 to Cartesia...
 8.28: Convert each of the polar coordinates in Exercises 2528 to Cartesia...
 8.29: State the amplitude, period, phase shift, and horizontal shifts for...
 8.30: State the amplitude, period, phase shift, and horizontal shifts for...
 8.31: State the amplitude, period, phase shift, and horizontal shifts for...
 8.32: State the amplitude, period, phase shift, and horizontal shifts for...
 8.33: In 3336, estimate the amplitude, midline, and period of the sinusoi...
 8.34: In 3336, estimate the amplitude, midline, and period of the sinusoi...
 8.35: In 3336, estimate the amplitude, midline, and period of the sinusoi...
 8.36: In 3336, estimate the amplitude, midline, and period of the sinusoi...
 8.37: Using only vertical shifts, stretches, and flips, and horizontal st...
 8.38: Without a calculator, graph two periods of the functions in 3841.y ...
 8.39: Without a calculator, graph two periods of the functions in 3841.y ...
 8.40: Without a calculator, graph two periods of the functions in 3841.y ...
 8.41: Without a calculator, graph two periods of the functions in 3841.y ...
 8.42: Suppose sin = 1/7 for /2 <<. (a) Use the Pythagorean identity to fi...
 8.43: Graph f(t) = cos t and g(t) = sin(t + /2). Explain what you see.
 8.44: Graph f(t) = cos t and g(t) = sin(t + /2). Explain what you see.
 8.45: For each of the following expressions, find a line segment in Figur...
 8.46: In 4648, find exact values without a calculator.cos 540
 8.47: In 4648, find exact values without a calculator.sin 7 6
 8.48: In 4648, find exact values without a calculator.tan 2 3
 8.49: Find tan exactly if sin = 3/5, and is in the fourth quadrant.
 8.50: In 5051, find a solution with in radians (if possible).sin = 2/5 5
 8.51: In 5051, find a solution with in radians (if possible).tan( 1) = 0.17
 8.52: Find the radian value of x in Figure 8.66.
 8.53: (a) Find an equation for the line l in Figure 8.67. (b) Find the x...
 8.54: Let z1 = 3 i 3 and z2 = 1 + i 3. (a) Find z1z2 and z1/z2. Give your...
 8.55: (a) Let z =3+2i. Plot z and iz on the complex plane. (b) Show that ...
 8.56: (a) Find a sinusoidal formula for the graph in Figure 8.68. (b) Fin...
 8.57: (a) Find a sinusoidal formula for f in Figure 8.69. (b) Find the x...
 8.58: For the functions graphed in 5861, find four possible formulas for ...
 8.59: For the functions graphed in 5861, find four possible formulas for ...
 8.60: For the functions graphed in 5861, find four possible formulas for ...
 8.61: For the functions graphed in 5861, find four possible formulas for ...
 8.62: In 6265, solve the equations with 0 < 2. Give exact answers if poss...
 8.63: In 6265, solve the equations with 0 < 2. Give exact answers if poss...
 8.64: In 6265, solve the equations with 0 < 2. Give exact answers if poss...
 8.65: In 6265, solve the equations with 0 < 2. Give exact answers if poss...
 8.66: How far does the tip of the minute hand of a clock move in 1 hour a...
 8.67: How many miles on the surface of the earth correspond to one degree...
 8.68: If a weight hanging on a string of length 3 feet swings through 5 o...
 8.69: A person on earth is observing the moon, which is 238,860 miles awa...
 8.70: A compact disk is 12 cm in diameter and rotates at 100 rpm (revolut...
 8.71: A weather satellite orbits the earth in a circular orbit 500 miles ...
 8.72: A weight is suspended from the ceiling by a spring. Figure 8.70 sho...
 8.73: An animal population increases from a low of 1200 in year t = 0, to...
 8.74: Table 8.7 gives the average monthly temperature, y, in degrees Fahr...
 8.75: The data in Table 8.8 gives the height above the floor of a weight ...
 8.76: Are the statements in 5379 true or false? Give an explanation for y...
 8.77: Are the statements in 5379 true or false? Give an explanation for y...
 8.78: Are the statements in 5379 true or false? Give an explanation for y...
 8.79: Are the statements in 5379 true or false? Give an explanation for y...
Solutions for Chapter 8: THE TRIGONOMETRIC FUNCTIONS
Full solutions for Functions Modeling Change: A Preparation for Calculus  4th Edition
ISBN: 9780470484753
Solutions for Chapter 8: THE TRIGONOMETRIC FUNCTIONS
Get Full SolutionsSince 79 problems in chapter 8: THE TRIGONOMETRIC FUNCTIONS have been answered, more than 40283 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. Chapter 8: THE TRIGONOMETRIC FUNCTIONS includes 79 full stepbystep solutions.

Ambiguous case
The case in which two sides and a nonincluded angle can determine two different triangles

Axis of symmetry
See Line of symmetry.

Complex fraction
See Compound fraction.

Constant term
See Polynomial function

Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian threedimensional space

Descriptive statistics
The gathering and processing of numerical information

Difference of complex numbers
(a + bi)  (c + di) = (a  c) + (b  d)i

Directed line segment
See Arrow.

Ellipse
The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Firstdegree equation in x , y, and z
An equation that can be written in the form.

Frequency table (in statistics)
A table showing frequencies.

Limit to growth
See Logistic growth function.

Midpoint (in Cartesian space)
For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

Probability simulation
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

Range (in statistics)
The difference between the greatest and least values in a data set.

Standard unit vectors
In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

Sum of two vectors
<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

System
A set of equations or inequalities.

yintercept
A point that lies on both the graph and the yaxis.