 5.3.5.6.3: In Exercises 1 6, use the figures to find the exact value of each t...
 5.3.5.6.4: In Exercises 1 6, use the figures to find the exact value of each t...
 5.3.5.6.5: In Exercises 1 6, use the figures to find the exact value of each t...
 5.3.5.6.6: In Exercises 1 6, use the figures to find the exact value of each t...
 5.3.5.6.7: In Exercises 1 6, use the figures to find the exact value of each t...
 5.3.5.6.8: In Exercises 1 6, use the figures to find the exact value of each t...
 5.3.5.6.9: In Exercises 7 14, use the given information to find the exact valu...
 5.3.5.6.10: In Exercises 7 14, use the given information to find the exact valu...
 5.3.5.6.11: In Exercises 7 14, use the given information to find the exact valu...
 5.3.5.6.12: In Exercises 7 14, use the given information to find the exact valu...
 5.3.5.6.13: In Exercises 7 14, use the given information to find the exact valu...
 5.3.5.6.14: In Exercises 7 14, use the given information to find the exact valu...
 5.3.5.6.15: In Exercises 7 14, use the given information to find the exact valu...
 5.3.5.6.16: In Exercises 7 14, use the given information to find the exact valu...
 5.3.5.6.17: In Exercises 15 22, write each expression as the sine, cosine, or t...
 5.3.5.6.18: In Exercises 15 22, write each expression as the sine, cosine, or t...
 5.3.5.6.19: In Exercises 15 22, write each expression as the sine, cosine, or t...
 5.3.5.6.20: In Exercises 15 22, write each expression as the sine, cosine, or t...
 5.3.5.6.21: In Exercises 15 22, write each expression as the sine, cosine, or t...
 5.3.5.6.22: In Exercises 15 22, write each expression as the sine, cosine, or t...
 5.3.5.6.23: In Exercises 15 22, write each expression as the sine, cosine, or t...
 5.3.5.6.24: In Exercises 15 22, write each expression as the sine, cosine, or t...
 5.3.5.6.25: In Exercises 23 34, verify each identity
 5.3.5.6.26: In Exercises 23 34, verify each identity
 5.3.5.6.27: In Exercises 23 34, verify each identity
 5.3.5.6.28: In Exercises 23 34, verify each identity
 5.3.5.6.29: In Exercises 23 34, verify each identity
 5.3.5.6.30: In Exercises 23 34, verify each identity
 5.3.5.6.31: In Exercises 23 34, verify each identity
 5.3.5.6.32: In Exercises 23 34, verify each identity
 5.3.5.6.33: In Exercises 23 34, verify each identity
 5.3.5.6.34: In Exercises 23 34, verify each identity
 5.3.5.6.35: In Exercises 23 34, verify each identity
 5.3.5.6.36: In Exercises 23 34, verify each identity
 5.3.5.6.37: In Exercises 35 38, use the powerreducing formulas to rewrite each...
 5.3.5.6.38: In Exercises 35 38, use the powerreducing formulas to rewrite each...
 5.3.5.6.39: In Exercises 35 38, use the powerreducing formulas to rewrite each...
 5.3.5.6.40: In Exercises 35 38, use the powerreducing formulas to rewrite each...
 5.3.5.6.41: In Exercises 39 46, use a halfangle formula to find the exact valu...
 5.3.5.6.42: In Exercises 39 46, use a halfangle formula to find the exact valu...
 5.3.5.6.43: In Exercises 39 46, use a halfangle formula to find the exact valu...
 5.3.5.6.44: In Exercises 39 46, use a halfangle formula to find the exact valu...
 5.3.5.6.45: In Exercises 39 46, use a halfangle formula to find the exact valu...
 5.3.5.6.46: In Exercises 39 46, use a halfangle formula to find the exact valu...
 5.3.5.6.47: In Exercises 39 46, use a halfangle formula to find the exact valu...
 5.3.5.6.48: In Exercises 39 46, use a halfangle formula to find the exact valu...
 5.3.5.6.49: In Exercises 47 54, use the figures to find the exact value of each...
 5.3.5.6.50: In Exercises 47 54, use the figures to find the exact value of each...
 5.3.5.6.51: In Exercises 47 54, use the figures to find the exact value of each...
 5.3.5.6.52: In Exercises 47 54, use the figures to find the exact value of each...
 5.3.5.6.53: In Exercises 47 54, use the figures to find the exact value of each...
 5.3.5.6.54: In Exercises 47 54, use the figures to find the exact value of each...
 5.3.5.6.55: In Exercises 47 54, use the figures to find the exact value of each...
 5.3.5.6.56: In Exercises 47 54, use the figures to find the exact value of each...
 5.3.5.6.57: In Exercises 55 58, use the given information to find the exact val...
 5.3.5.6.58: In Exercises 55 58, use the given information to find the exact val...
 5.3.5.6.59: In Exercises 55 58, use the given information to find the exact val...
 5.3.5.6.60: In Exercises 55 58, use the given information to find the exact val...
 5.3.5.6.61: In Exercises 59 68, verify each identity.
 5.3.5.6.62: In Exercises 59 68, verify each identity.
 5.3.5.6.63: In Exercises 59 68, verify each identity.
 5.3.5.6.64: In Exercises 59 68, verify each identity.
 5.3.5.6.65: In Exercises 59 68, verify each identity.
 5.3.5.6.66: In Exercises 59 68, verify each identity.
 5.3.5.6.67: In Exercises 59 68, verify each identity.
 5.3.5.6.68: In Exercises 59 68, verify each identity.
 5.3.5.6.69: In Exercises 59 68, verify each identity.
 5.3.5.6.70: In Exercises 59 68, verify each identity.
 5.3.5.6.71: In Exercises 69 78, half of an identity and the graph of this half ...
 5.3.5.6.72: In Exercises 69 78, half of an identity and the graph of this half ...
 5.3.5.6.73: In Exercises 69 78, half of an identity and the graph of this half ...
 5.3.5.6.74: In Exercises 69 78, half of an identity and the graph of this half ...
 5.3.5.6.75: In Exercises 69 78, half of an identity and the graph of this half ...
 5.3.5.6.76: In Exercises 69 78, half of an identity and the graph of this half ...
 5.3.5.6.77: In Exercises 69 78, half of an identity and the graph of this half ...
 5.3.5.6.78: In Exercises 69 78, half of an identity and the graph of this half ...
 5.3.5.6.79: In Exercises 69 78, half of an identity and the graph of this half ...
 5.3.5.6.80: In Exercises 69 78, half of an identity and the graph of this half ...
 5.3.5.6.81: Throwing events in track and field include the shot put, the discus...
 5.3.5.6.82: If determine the Mach speed, of the aircraft. Express the speed as ...
 5.3.5.6.83: If determine the Mach speed, of the aircraft. Express the speed as ...
 5.3.5.6.84: the sine of double an angle.
 5.3.5.6.85: the cosine of double an angle. (Describe one of the three formulas.)
 5.3.5.6.86: the tangent of double an angle.
 5.3.5.6.87: the powerreducing formula for the sine squared of an angle.
 5.3.5.6.88: the powerreducing formula for the cosine squared of an angle.
 5.3.5.6.89: the sine of half an angle.
 5.3.5.6.90: the cosine of half an angle.
 5.3.5.6.91: the tangent of half an angle. (Describe one of the two formulas tha...
 5.3.5.6.92: Explain how the doubleangle formulas are derived.
 5.3.5.6.93: How can there be three forms of the doubleangle formula forcos 2u?
 5.3.5.6.94: ithout showing algebraic details, describe in words how to reduce t...
 5.3.5.6.95: Describe one or more of the techniques you use to help remember the...
 5.3.5.6.96: Your friend is about to compete as a shotputter in a college field...
 5.3.5.6.97: In Exercises 95 98, graph each side of the equation in the same vie...
 5.3.5.6.98: In Exercises 95 98, graph each side of the equation in the same vie...
 5.3.5.6.99: In Exercises 95 98, graph each side of the equation in the same vie...
 5.3.5.6.100: In Exercises 95 98, graph each side of the equation in the same vie...
 5.3.5.6.101: In Exercises 99 101, graph each equation in a by viewing rectangle....
 5.3.5.6.102: In Exercises 99 101, graph each equation in a by viewing rectangle....
 5.3.5.6.103: In Exercises 99 101, graph each equation in a by viewing rectangle....
 5.3.5.6.104: The doubleangle identities are derived from the sum identities by ...
 5.3.5.6.105: I simplified a doubleangle trigonometric expression by pulling 2 t...
 5.3.5.6.106: When using the halfangle formulas for trigonometric functions of I...
 5.3.5.6.107: I used a halfangle formula to find the exact value of cos 100.
 5.3.5.6.108: Verify the identity: sin3 x + cos3 x = 1sin x + cos x2a1 sin 2x2b.
 5.3.5.6.109: In Exercises 107 110, find the exact value of each expression. Do n...
 5.3.5.6.110: In Exercises 107 110, find the exact value of each expression. Do n...
 5.3.5.6.111: In Exercises 107 110, find the exact value of each expression. Do n...
 5.3.5.6.112: In Exercises 107 110, find the exact value of each expression. Do n...
 5.3.5.6.113: Use a right triangle to writes in 12 sin1 x as an algebraic expres...
 5.3.5.6.114: Use the powerreducing formulas to rewrite as an equivalent express...
 5.3.5.6.115: Exercises 113 115 will help you prepare for the material covered in...
 5.3.5.6.116: Exercises 113 115 will help you prepare for the material covered in...
 5.3.5.6.117: Exercises 113 115 will help you prepare for the material covered in...
Solutions for Chapter 5.3: DoubleAngle, PowerReducing, and HalfAngle Formulas
Full solutions for Precalculus  4th Edition
ISBN: 9780321559845
Solutions for Chapter 5.3: DoubleAngle, PowerReducing, and HalfAngle Formulas
Get Full SolutionsPrecalculus was written by and is associated to the ISBN: 9780321559845. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Chapter 5.3: DoubleAngle, PowerReducing, and HalfAngle Formulas includes 115 full stepbystep solutions. Since 115 problems in chapter 5.3: DoubleAngle, PowerReducing, and HalfAngle Formulas have been answered, more than 75785 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Bar chart
A rectangular graphical display of categorical data.

Circle
A set of points in a plane equally distant from a fixed point called the center

Combinations of n objects taken r at a time
There are nCr = n! r!1n  r2! such combinations,

Common logarithm
A logarithm with base 10.

Descriptive statistics
The gathering and processing of numerical information

Directed line segment
See Arrow.

Direction vector for a line
A vector in the direction of a line in threedimensional space

Dot product
The number found when the corresponding components of two vectors are multiplied and then summed

Inequality
A statement that compares two quantities using an inequality symbol

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

Measure of an angle
The number of degrees or radians in an angle

Newtonâ€™s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

Real number
Any number that can be written as a decimal.

Repeated zeros
Zeros of multiplicity ? 2 (see Multiplicity).

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

Solve by substitution
Method for solving systems of linear equations.

Standard position (angle)
An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive xaxis

Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

Weights
See Weighted mean.

Xmax
The xvalue of the right side of the viewing window,.