 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 18650 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.

Average velocity
The change in position divided by the change in time.

Blocking
A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

Bounded below
A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

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

Fibonacci sequence
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

Halfangle identity
Identity involving a trigonometric function of u/2.

Identity properties
a + 0 = a, a ? 1 = a

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers

Normal curve
The graph of ƒ(x) = ex2/2

Partial fractions
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

Perihelion
The closest point to the Sun in a planet’s orbit.

Permutations of n objects taken r at a time
There are nPr = n!1n  r2! such permutations

Quartile
The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

Quotient rule of logarithms
logb a R S b = logb R  logb S, R > 0, S > 0

Solution of a system in two variables
An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

Standard deviation
A measure of how a data set is spread

Subtraction
a  b = a + (b)

Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.

Variation
See Power function.