 9.1: Simplify the expressions in Exercises 12. Your answers should invol...
 9.2: Simplify the expressions in Exercises 12. Your answers should invol...
 9.3: Simplify the expressions in Exercises 38. Your answers should invol...
 9.4: Simplify the expressions in Exercises 38. Your answers should invol...
 9.5: Simplify the expressions in Exercises 38. Your answers should invol...
 9.6: Simplify the expressions in Exercises 38. Your answers should invol...
 9.7: Simplify the expressions in Exercises 38. Your answers should invol...
 9.8: Simplify the expressions in Exercises 38. Your answers should invol...
 9.9: Simplify the expressions in Exercises 912.1 cos2 sin
 9.10: Simplify the expressions in Exercises 912.cot x csc x
 9.11: Simplify the expressions in Exercises 912.cos 2 + 1 cos
 9.12: Simplify the expressions in Exercises 912.cos2 (1 + tan )(1 tan )
 9.13: One student said that sin 2 = 2 sin , but another student said let ...
 9.14: Graph tan2 x+sin2 x,(tan2 x)(sin2 x),tan2 xsin2 x, tan2 x/ sin2 x t...
 9.15: For y and and in Figure 9.25, evaluate the following in terms of y....
 9.16: If sin = 8 11 , what is csc ? tan ?
 9.17: If csc = 94, what is cos ? tan ?
 9.18: Let cos = 0.27. Find one possible value for sin and for tan .
 9.19: The angle is in the first quadrant and tan = 3/4. Since tan = (sin ...
 9.20: If cos(2)=2/7 and is in the first quadrant, find cos exactly.
 9.21: Use a trigonometric identity to find exactly all solutions: cos 2 =...
 9.22: Solve exactly: cos(2) = sin with 0 < 2.
 9.23: Simplify the expression sin 2 cos1 5 13 to a rational number.
 9.24: Prove the identities in 2427.tan = 1 cos 2 2 cos sin
 9.25: Prove the identities in 2427.(sin2 2t + cos2 2t) 3 = 1
 9.26: Prove the identities in 2427.sin4 x cos4 x = sin2 x cos2 x
 9.27: Prove the identities in 2427.1 + sin cos = cos 1 sin
 9.28: With x and as in Figure 9.26 and with 0 < < /4, express the followi...
 9.29: In 2930, solve for for 0 2.3 cos2 +2=3 2 cos
 9.30: In 2930, solve for for 0 2.3 sin2 + 3 sin +4=3 2 sin
 9.31: Use the cosine addition formula and other identities to find a form...
 9.32: Use the identity cos 2x = 2 cos2 x 1 to find an expression for cos(...
 9.33: Suppose that sin(ln x) = 1 3 , and that sin(ln y) = 1 5 . If 0 < ln...
 9.34: (a) Graph g() = sin cos . (b) Write g() as a sine function without ...
 9.35: For positive constants a, b and t in years, the sizes of two popula...
Solutions for Chapter 9: TRIGONOMETRIC IDENTITIES AND THEIR APPLICATIONS
Full solutions for Functions Modeling Change: A Preparation for Calculus  4th Edition
ISBN: 9780470484753
Solutions for Chapter 9: TRIGONOMETRIC IDENTITIES AND THEIR APPLICATIONS
Get Full SolutionsSince 35 problems in chapter 9: TRIGONOMETRIC IDENTITIES AND THEIR APPLICATIONS have been answered, more than 40273 students have viewed full stepbystep solutions from this chapter. 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. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. Chapter 9: TRIGONOMETRIC IDENTITIES AND THEIR APPLICATIONS includes 35 full stepbystep solutions.

Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point

Chord of a conic
A line segment with endpoints on the conic

Conic section (or conic)
A curve obtained by intersecting a doublenapped right circular cone with a plane

Cubic
A degree 3 polynomial function

Higherdegree polynomial function
A polynomial function whose degree is ? 3

Inferential statistics
Using the science of statistics to make inferences about the parameters in a population from a sample.

Inverse cotangent function
The function y = cot1 x

Leading coefficient
See Polynomial function in x

Main diagonal
The diagonal from the top left to the bottom right of a square matrix

Matrix, m x n
A rectangular array of m rows and n columns of real numbers

Order of an m x n matrix
The order of an m x n matrix is m x n.

Order of magnitude (of n)
log n.

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

Quadratic formula
The formula x = b 2b2  4ac2a used to solve ax 2 + bx + c = 0.

Real part of a complex number
See Complex number.

Row operations
See Elementary row operations.

Sample survey
A process for gathering data from a subset of a population, usually through direct questioning.

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>

Variable (in statistics)
A characteristic of individuals that is being identified or measured.

yaxis
Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.