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# Solutions for Chapter 7-3: GRAPHS OF SINE AND COSINE

## Full solutions for Functions Modeling Change: A Preparation for Calculus | 4th Edition

ISBN: 9780470484753

Solutions for Chapter 7-3: GRAPHS OF SINE AND COSINE

Solutions for Chapter 7-3
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##### ISBN: 9780470484753

Since 38 problems in chapter 7-3: GRAPHS OF SINE AND COSINE have been answered, more than 6779 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Functions Modeling Change: A Preparation for Calculus was written by Patricia and is associated to the ISBN: 9780470484753. Chapter 7-3: GRAPHS OF SINE AND COSINE includes 38 full step-by-step 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
• Acceleration due to gravity

g ? 32 ft/sec2 ? 9.8 m/sec

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Double-angle identity

An identity involving a trigonometric function of 2u

• Grapher or graphing utility

Graphing calculator or a computer with graphing software.

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Instantaneous rate of change

See Derivative at x = a.

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• Length of an arrow

See Magnitude of an arrow.

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Period

See Periodic function.

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• 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

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Rational expression

An expression that can be written as a ratio of two polynomials.

• Second

Angle measure equal to 1/60 of a minute.

• Slant line

A line that is neither horizontal nor vertical

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