 5.5.1: Fill in the blank to complete the trigonometric formula
 5.5.2: Fill in the blank to complete the trigonometric formula
 5.5.3: Fill in the blank to complete the trigonometric formula
 5.5.4: Fill in the blank to complete the trigonometric formula
 5.5.5: Fill in the blank to complete the trigonometric formula
 5.5.6: Fill in the blank to complete the trigonometric formula
 5.5.7: Fill in the blank to complete the trigonometric formula
 5.5.8: Fill in the blank to complete the trigonometric formula
 5.5.9: Fill in the blank to complete the trigonometric formula
 5.5.10: Fill in the blank to complete the trigonometric formula
 5.5.11: In Exercises 918, find the exact solutions of the equation in the i...
 5.5.12: In Exercises 918, find the exact solutions of the equation in the i...
 5.5.13: In Exercises 918, find the exact solutions of the equation in the i...
 5.5.14: In Exercises 918, find the exact solutions of the equation in the i...
 5.5.15: In Exercises 918, find the exact solutions of the equation in the i...
 5.5.16: In Exercises 918, find the exact solutions of the equation in the i...
 5.5.17: In Exercises 918, find the exact solutions of the equation in the i...
 5.5.18: In Exercises 918, find the exact solutions of the equation in the i...
 5.5.19: In Exercises 1922, use a doubleangle formula to rewrite the expres...
 5.5.20: In Exercises 1922, use a doubleangle formula to rewrite the expres...
 5.5.21: In Exercises 1922, use a doubleangle formula to rewrite the expres...
 5.5.22: In Exercises 1922, use a doubleangle formula to rewrite the expres...
 5.5.23: In Exercises 2328, find the exact values of and using the doublean...
 5.5.24: In Exercises 2328, find the exact values of and using the doublean...
 5.5.25: In Exercises 2328, find the exact values of and using the doublean...
 5.5.26: In Exercises 2328, find the exact values of and using the doublean...
 5.5.27: In Exercises 2328, find the exact values of and using the doublean...
 5.5.28: In Exercises 2328, find the exact values of and using the doublean...
 5.5.29: In Exercises 2934, use the powerreducing formulas to rewrite the e...
 5.5.30: In Exercises 2934, use the powerreducing formulas to rewrite the e...
 5.5.31: In Exercises 2934, use the powerreducing formulas to rewrite the e...
 5.5.32: In Exercises 2934, use the powerreducing formulas to rewrite the e...
 5.5.33: In Exercises 2934, use the powerreducing formulas to rewrite the e...
 5.5.34: In Exercises 2934, use the powerreducing formulas to rewrite the e...
 5.5.35: In Exercises 3540, use the figure to find the exact value of the tr...
 5.5.36: In Exercises 3540, use the figure to find the exact value of the tr...
 5.5.37: In Exercises 3540, use the figure to find the exact value of the tr...
 5.5.38: In Exercises 3540, use the figure to find the exact value of the tr...
 5.5.39: In Exercises 3540, use the figure to find the exact value of the tr...
 5.5.40: In Exercises 3540, use the figure to find the exact value of the tr...
 5.5.41: In Exercises 4148, use the halfangle formulas to determine the exa...
 5.5.42: In Exercises 4148, use the halfangle formulas to determine the exa...
 5.5.43: In Exercises 4148, use the halfangle formulas to determine the exa...
 5.5.44: In Exercises 4148, use the halfangle formulas to determine the exa...
 5.5.45: In Exercises 4148, use the halfangle formulas to determine the exa...
 5.5.46: In Exercises 4148, use the halfangle formulas to determine the exa...
 5.5.47: In Exercises 4148, use the halfangle formulas to determine the exa...
 5.5.48: In Exercises 4148, use the halfangle formulas to determine the exa...
 5.5.49: In Exercises 4954, find the exact values of and using the halfangl...
 5.5.50: In Exercises 4954, find the exact values of and using the halfangl...
 5.5.51: In Exercises 4954, find the exact values of and using the halfangl...
 5.5.52: In Exercises 4954, find the exact values of and using the halfangl...
 5.5.53: In Exercises 4954, find the exact values of and using the halfangl...
 5.5.54: In Exercises 4954, find the exact values of and using the halfangl...
 5.5.55: In Exercises 5558, use the halfangle formulas to simplify the expr...
 5.5.56: In Exercises 5558, use the halfangle formulas to simplify the expr...
 5.5.57: In Exercises 5558, use the halfangle formulas to simplify the expr...
 5.5.58: In Exercises 5558, use the halfangle formulas to simplify the expr...
 5.5.59: In Exercises 5962, find all solutions of the equation in the interv...
 5.5.60: In Exercises 5962, find all solutions of the equation in the interv...
 5.5.61: In Exercises 5962, find all solutions of the equation in the interv...
 5.5.62: In Exercises 5962, find all solutions of the equation in the interv...
 5.5.63: In Exercises 6374, use the producttosum formulas to write the pro...
 5.5.64: In Exercises 6374, use the producttosum formulas to write the pro...
 5.5.65: In Exercises 6374, use the producttosum formulas to write the pro...
 5.5.66: In Exercises 6374, use the producttosum formulas to write the pro...
 5.5.67: In Exercises 6374, use the producttosum formulas to write the pro...
 5.5.68: In Exercises 6374, use the producttosum formulas to write the pro...
 5.5.69: In Exercises 6374, use the producttosum formulas to write the pro...
 5.5.70: In Exercises 6374, use the producttosum formulas to write the pro...
 5.5.71: In Exercises 6374, use the producttosum formulas to write the pro...
 5.5.72: In Exercises 6374, use the producttosum formulas to write the pro...
 5.5.73: In Exercises 6374, use the producttosum formulas to write the pro...
 5.5.74: In Exercises 6374, use the producttosum formulas to write the pro...
 5.5.75: In Exercises 7582, use the sumtoproduct formulas to write the sum...
 5.5.76: In Exercises 7582, use the sumtoproduct formulas to write the sum...
 5.5.77: In Exercises 7582, use the sumtoproduct formulas to write the sum...
 5.5.78: In Exercises 7582, use the sumtoproduct formulas to write the sum...
 5.5.79: In Exercises 7582, use the sumtoproduct formulas to write the sum...
 5.5.80: In Exercises 7582, use the sumtoproduct formulas to write the sum...
 5.5.81: In Exercises 7582, use the sumtoproduct formulas to write the sum...
 5.5.82: In Exercises 7582, use the sumtoproduct formulas to write the sum...
 5.5.83: In Exercises 8386, use the sumtoproduct formulas to find the exac...
 5.5.84: In Exercises 8386, use the sumtoproduct formulas to find the exac...
 5.5.85: In Exercises 8386, use the sumtoproduct formulas to find the exac...
 5.5.86: In Exercises 8386, use the sumtoproduct formulas to find the exac...
 5.5.87: In Exercises 8790, find all solutions of the equation in the interv...
 5.5.88: In Exercises 8790, find all solutions of the equation in the interv...
 5.5.89: In Exercises 8790, find all solutions of the equation in the interv...
 5.5.90: In Exercises 8790, find all solutions of the equation in the interv...
 5.5.91: In Exercises 9194, use the figure and trigonometric identities to f...
 5.5.92: In Exercises 9194, use the figure and trigonometric identities to f...
 5.5.93: In Exercises 9194, use the figure and trigonometric identities to f...
 5.5.94: In Exercises 9194, use the figure and trigonometric identities to f...
 5.5.95: In Exercises 95110, verify the identity.
 5.5.96: In Exercises 95110, verify the identity.
 5.5.97: In Exercises 95110, verify the identity.
 5.5.98: In Exercises 95110, verify the identity.
 5.5.99: In Exercises 95110, verify the identity.
 5.5.100: In Exercises 95110, verify the identity.
 5.5.101: In Exercises 95110, verify the identity.
 5.5.102: In Exercises 95110, verify the identity.
 5.5.103: In Exercises 95110, verify the identity.
 5.5.104: In Exercises 95110, verify the identity.
 5.5.105: In Exercises 95110, verify the identity.
 5.5.106: In Exercises 95110, verify the identity.
 5.5.107: In Exercises 95110, verify the identity.
 5.5.108: In Exercises 95110, verify the identity.
 5.5.109: In Exercises 95110, verify the identity.
 5.5.110: In Exercises 95110, verify the identity.
 5.5.111: In Exercises 111114, use a graphing utility to verify the identity....
 5.5.112: In Exercises 111114, use a graphing utility to verify the identity....
 5.5.113: In Exercises 111114, use a graphing utility to verify the identity....
 5.5.114: In Exercises 111114, use a graphing utility to verify the identity....
 5.5.115: In Exercises 115 and 116, graph the function by hand in the interva...
 5.5.116: In Exercises 115 and 116, graph the function by hand in the interva...
 5.5.117: In Exercises 117 and 118, write the trigonometric expression as an ...
 5.5.118: In Exercises 117 and 118, write the trigonometric expression as an ...
 5.5.119: Projectile Motion The range of a projectile fired at an angle with ...
 5.5.120: Geometry The length of each of the two equal sides of an isosceles ...
 5.5.121: Mach Number The mach number of an airplane is the ratio of its spee...
 5.5.122: Railroad Track When two railroad tracks merge, the overlapping port...
 5.5.123: True or False? In Exercises 123 and 124, determine whether the stat...
 5.5.124: True or False? In Exercises 123 and 124, determine whether the stat...
 5.5.125: In Exercises 125 and 126, (a) use a graphing utility to graph the f...
 5.5.126: In Exercises 125 and 126, (a) use a graphing utility to graph the f...
 5.5.127: Exploration Consider the function given by (a) Use the powerreduci...
 5.5.128: Conjecture Consider the function given by (a) Use a graphing utilit...
 5.5.129: In Exercises 129132, (a) plot the points, (b) find the distance bet...
 5.5.130: In Exercises 129132, (a) plot the points, (b) find the distance bet...
 5.5.131: In Exercises 129132, (a) plot the points, (b) find the distance bet...
 5.5.132: In Exercises 129132, (a) plot the points, (b) find the distance bet...
 5.5.133: In Exercises 133136, find (if possible) the complement and suppleme...
 5.5.134: In Exercises 133136, find (if possible) the complement and suppleme...
 5.5.135: In Exercises 133136, find (if possible) the complement and suppleme...
 5.5.136: In Exercises 133136, find (if possible) the complement and suppleme...
 5.5.137: Profit The total profit for a car manufacturer in October was 16% h...
 5.5.138: Mixture 55gallon barrel contains a mixture with a concentration of...
 5.5.139: Distance A baseball diamond has the shape of a square in which the ...
Solutions for Chapter 5.5: Multiple Angle and ProducttoSum Formulas
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter 5.5: Multiple Angle and ProducttoSum Formulas
Get Full SolutionsThis textbook survival guide was created for the textbook: Precalculus, edition: 7. Chapter 5.5: Multiple Angle and ProducttoSum Formulas includes 139 full stepbystep solutions. Since 139 problems in chapter 5.5: Multiple Angle and ProducttoSum Formulas have been answered, more than 20257 students have viewed full stepbystep solutions from this chapter. Precalculus was written by and is associated to the ISBN: 9780618643448. This expansive textbook survival guide covers the following chapters and their solutions.

Acceleration due to gravity
g ? 32 ft/sec2 ? 9.8 m/sec

Angle
Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

Combinatorics
A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

Convenience sample
A sample that sacrifices randomness for convenience

Double inequality
A statement that describes a bounded interval, such as 3 ? x < 5

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

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

Initial value of a function
ƒ 0.

Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1  z1) 1x  i z 22 Á 1x  z n where the z1 are the zeros of ƒ

Logistic regression
A procedure for fitting a logistic curve to a set of data

Multiplication principle of counting
A principle used to find the number of ways an event can occur.

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

Perpendicular lines
Two lines that are at right angles to each other

Product of complex numbers
(a + bi)(c + di) = (ac  bd) + (ad + bc)i

Remainder polynomial
See Division algorithm for polynomials.

Response variable
A variable that is affected by an explanatory variable.

Richter scale
A logarithmic scale used in measuring the intensity of an earthquake.

Second quartile
See Quartile.

Sinusoidal regression
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

Vector
An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.