 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 18653 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.

Average rate of change of ƒ over [a, b]
The number ƒ(b)  ƒ(a) b  a, provided a ? b.

Distance (on a number line)
The distance between real numbers a and b, or a  b

End behavior asymptote of a rational function
A polynomial that the function approaches as.

Factor
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Graph of an inequality in x and y
The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

Hypotenuse
Side opposite the right angle in a right triangle.

Imaginary part of a complex number
See Complex number.

Inductive step
See Mathematical induction.

Inverse sine function
The function y = sin1 x

Line of travel
The path along which an object travels

Major axis
The line segment through the foci of an ellipse with endpoints on the ellipse

Multiplicity
The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x  c) (x  z 2) Á (x  z n)

Ordered pair
A pair of real numbers (x, y), p. 12.

Product of matrices A and B
The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

Projectile motion
The movement of an object that is subject only to the force of gravity

Rational zeros
Zeros of a function that are rational numbers.

Series
A finite or infinite sum of terms.

Transformation
A function that maps real numbers to real numbers.

Zero factor property
If ab = 0 , then either a = 0 or b = 0.