- 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
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 double-napped right circular cone with a plane
A degree 3 polynomial function
Higher-degree polynomial function
A polynomial function whose degree is ? 3
Using the science of statistics to make inferences about the parameters in a population from a sample.
Inverse cotangent function
The function y = cot-1 x
See Polynomial function in x
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)
The movement of an object that is subject only to the force of gravity
The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.
Real part of a complex number
See Complex number.
See Elementary row operations.
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.
Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.