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# Solutions for Chapter 8-3: TRIGONOMETRIC FUNCTIONS: RELATIONSHIPS AND GRAPHS ## Full solutions for Functions Modeling Change: A Preparation for Calculus | 4th Edition

ISBN: 9780470484753 Solutions for Chapter 8-3: TRIGONOMETRIC FUNCTIONS: RELATIONSHIPS AND GRAPHS

Solutions for Chapter 8-3
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##### ISBN: 9780470484753

Chapter 8-3: TRIGONOMETRIC FUNCTIONS: RELATIONSHIPS AND GRAPHS includes 39 full step-by-step solutions. Since 39 problems in chapter 8-3: TRIGONOMETRIC FUNCTIONS: RELATIONSHIPS AND GRAPHS have been answered, more than 26169 students have viewed full step-by-step solutions from this chapter. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a real number

Denoted by |a|, represents the number a or the positive number -a if a < 0.

• artesian coordinate system

An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers

• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Degree

Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Imaginary part of a complex number

See Complex number.

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Line graph

A graph of data in which consecutive data points are connected by line segments

• Midpoint (in a coordinate plane)

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

• Multiplicative identity for matrices

See Identity matrix

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• Parametric equations for a line in space

The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

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