- 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
The change in position divided by the change in time.
A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects
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.
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..
Identity involving a trigonometric function of u/2.
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
The graph of ƒ(x) = e-x2/2
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.
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
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
A measure of how a data set is spread
a - b = a + (-b)
Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.
See Power function.