 91.9.1.1: Simplify the expressions in Exercises 14. Your answers should invol...
 91.9.1.2: Simplify the expressions in Exercises 14. Your answers should invol...
 91.9.1.3: Simplify the expressions in Exercises 14. Your answers should invol...
 91.9.1.4: Simplify the expressions in Exercises 14. Your answers should invol...
 91.9.1.5: In Exercises 510, simplify the expression.sin 2 cos
 91.9.1.6: In Exercises 510, simplify the expression.cos2 1 sin
 91.9.1.7: In Exercises 510, simplify the expression.cos 2t cos t + sin t
 91.9.1.8: In Exercises 510, simplify the expression.1 1 sin + 1 1 + sin
 91.9.1.9: In Exercises 510, simplify the expression.cos 1 sin + sin cos + 1
 91.9.1.10: In Exercises 510, simplify the expression.1 sin t cos t 1 tan t
 91.9.1.11: Write the expressions in Exercises 1116 in terms of the tangent fun...
 91.9.1.12: Write the expressions in Exercises 1116 in terms of the tangent fun...
 91.9.1.13: Write the expressions in Exercises 1116 in terms of the tangent fun...
 91.9.1.14: Write the expressions in Exercises 1116 in terms of the tangent fun...
 91.9.1.15: Write the expressions in Exercises 1116 in terms of the tangent fun...
 91.9.1.16: Write the expressions in Exercises 1116 in terms of the tangent fun...
 91.9.1.17: Complete the following table, using exact values where possible. St...
 91.9.1.18: Using the Pythagorean identity, give an expression for sin in terms...
 91.9.1.19: Show how to obtain the identity cot2 +1 = csc2 from the Pythagorean...
 91.9.1.20: Use graphs to check that cos 2t and 1 2 sin2 t have the same sign f...
 91.9.1.21: Use the Pythagorean identity to write the doubleangle formula for ...
 91.9.1.22: Use tan 2 = sin 2 cos 2 to derive a doubleangle formula for tangen...
 91.9.1.23: For 2325, use algebra to prove the identity.sin t 1 cos t = 1 + cos...
 91.9.1.24: For 2325, use algebra to prove the identity.cos x 1 sin x tan x = 1...
 91.9.1.25: For 2325, use algebra to prove the identity.sin x cos y + cos x sin...
 91.9.1.26: Use trigonometric identities to solve each of the trigonometric equ...
 91.9.1.27: Use trigonometric identities to solve each of the trigonometric equ...
 91.9.1.28: Use trigonometric identities to solve each of the trigonometric equ...
 91.9.1.29: Use trigonometric identities to solve each of the trigonometric equ...
 91.9.1.30: Use graphs to find five pairs of expressions that appear to be iden...
 91.9.1.31: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.32: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.33: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.34: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.35: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.36: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.37: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.38: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.39: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.40: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.41: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.42: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.43: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.44: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.45: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.46: For 3146, use a graph to decide whether the equation is an identity...
 91.9.1.47: Find exactly all solutions to the equations. (a) cos 2 + cos = 0, 0...
 91.9.1.48: Use Figure 9.3 to express the following in terms of . (a) y (b) cos...
 91.9.1.49: Let y be the side opposite to the angle in a right triangle whose h...
 91.9.1.50: Suppose that sin = 3/5 and is in the second quadrant. Find sin(2), ...
 91.9.1.51: If x = 3 cos , 0 < < /2, express sin(2) in terms of x.
 91.9.1.52: If x + 1 = 5 sin , 0 < < /2, express cos(2) in terms of x.
 91.9.1.53: Express in terms of x without trigonometric functions. [Hint: Let =...
 91.9.1.54: Find an identity for cos(4) in terms of cos . (You need not simplif...
 91.9.1.55: Use trigonometric identities to find an identity for sin(4) in term...
 91.9.1.56: In the text we showed that sin 2t = 2 sin t cos t for 0 < t < /2 an...
 91.9.1.57: In the text and we showed that sin 2t = 2 sin t cos t for 0 t . In ...
 91.9.1.58: In the text we showed that cos 2t = 1 2 sin2 t for 0 < t < /2 and s...
 91.9.1.59: In the text and we showed that cos 2t = 1 2 sin2 t for 0 t . In thi...
 91.9.1.60: Show that the Pythagorean identity, cos2 + sin2 = 1, follows from E...
 91.9.1.61: Evaluate cos cos1 (1/2) and cos1 (cos (5/3)) exactly.
Solutions for Chapter 91: IDENTITIES, EXPRESSIONS, AND EQUATIONS
Full solutions for Functions Modeling Change: A Preparation for Calculus  4th Edition
ISBN: 9780470484753
Solutions for Chapter 91: IDENTITIES, EXPRESSIONS, AND EQUATIONS
Get Full SolutionsThis 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 91: IDENTITIES, EXPRESSIONS, AND EQUATIONS includes 61 full stepbystep solutions. Since 61 problems in chapter 91: IDENTITIES, EXPRESSIONS, AND EQUATIONS have been answered, more than 18668 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.

Argument of a complex number
The argument of a + bi is the direction angle of the vector {a,b}.

Common logarithm
A logarithm with base 10.

Complex conjugates
Complex numbers a + bi and a  bi

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 zcomponents of the vector, respectively)

Constraints
See Linear programming problem.

End behavior
The behavior of a graph of a function as.

Endpoint of an interval
A real number that represents one “end” of an interval.

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Equivalent arrows
Arrows that have the same magnitude and direction.

Finite series
Sum of a finite number of terms.

First quartile
See Quartile.

Instantaneous velocity
The instantaneous rate of change of a position function with respect to time, p. 737.

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

Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

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

Removable discontinuity at x = a
lim x:a ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

Residual
The difference y1  (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

Secant
The function y = sec x.

Whole numbers
The numbers 0, 1, 2, 3, ... .

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