 8.2.1: In Exercises 1 8, use the given information to evaluate each expres...
 8.2.2: In Exercises 1 8, use the given information to evaluate each expres...
 8.2.3: In Exercises 1 8, use the given information to evaluate each expres...
 8.2.4: In Exercises 1 8, use the given information to evaluate each expres...
 8.2.5: In Exercises 1 8, use the given information to evaluate each expres...
 8.2.6: In Exercises 1 8, use the given information to evaluate each expres...
 8.2.7: In Exercises 1 8, use the given information to evaluate each expres...
 8.2.8: In Exercises 1 8, use the given information to evaluate each expres...
 8.2.9: In Exercises 912, use the given information to compute each of the ...
 8.2.10: In Exercises 912, use the given information to compute each of the ...
 8.2.11: In Exercises 912, use the given information to compute each of the ...
 8.2.12: In Exercises 912, use the given information to compute each of the ...
 8.2.13: In Exercises 1316, use an appropriate halfangle formula to evaluat...
 8.2.14: In Exercises 1316, use an appropriate halfangle formula to evaluat...
 8.2.15: In Exercises 1316, use an appropriate halfangle formula to evaluat...
 8.2.16: In Exercises 1316, use an appropriate halfangle formula to evaluat...
 8.2.17: In Exercises 1724, refer to the two triangles and compute the quant...
 8.2.18: In Exercises 1724, refer to the two triangles and compute the quant...
 8.2.19: In Exercises 1724, refer to the two triangles and compute the quant...
 8.2.20: In Exercises 1724, refer to the two triangles and compute the quant...
 8.2.21: In Exercises 1724, refer to the two triangles and compute the quant...
 8.2.22: In Exercises 1724, refer to the two triangles and compute the quant...
 8.2.23: In Exercises 1724, refer to the two triangles and compute the quant...
 8.2.24: In Exercises 1724, refer to the two triangles and compute the quant...
 8.2.25: In Exercises 2528, use the given information to express sin 2u and ...
 8.2.26: In Exercises 2528, use the given information to express sin 2u and ...
 8.2.27: In Exercises 2528, use the given information to express sin 2u and ...
 8.2.28: In Exercises 2528, use the given information to express sin 2u and ...
 8.2.29: In Exercises 2932, express each quantity in a form that does not in...
 8.2.30: In Exercises 2932, express each quantity in a form that does not in...
 8.2.31: In Exercises 2932, express each quantity in a form that does not in...
 8.2.32: In Exercises 2932, express each quantity in a form that does not in...
 8.2.33: Prove each of the following doubleangle formulas. Hint: As in the ...
 8.2.34: (a) Beginning with the identity cos 2u cos2 u sin2 u, prove that co...
 8.2.35: In Exercises 3550, prove that the given equations are identities.co...
 8.2.36: In Exercises 3550, prove that the given equations are identities.1 ...
 8.2.37: In Exercises 3550, prove that the given equations are identities.. ...
 8.2.38: In Exercises 3550, prove that the given equations are identities.si...
 8.2.39: In Exercises 3550, prove that the given equations are identities.si...
 8.2.40: In Exercises 3550, prove that the given equations are identities.. ...
 8.2.41: In Exercises 3550, prove that the given equations are identities.si...
 8.2.42: In Exercises 3550, prove that the given equations are identities.2 ...
 8.2.43: In Exercises 3550, prove that the given equations are identities.si...
 8.2.44: In Exercises 3550, prove that the given equations are identities.co...
 8.2.45: In Exercises 3550, prove that the given equations are identities.1 ...
 8.2.46: In Exercises 3550, prove that the given equations are identities.
 8.2.47: In Exercises 3550, prove that the given equations are identities.
 8.2.48: In Exercises 3550, prove that the given equations are identities.
 8.2.49: In Exercises 3550, prove that the given equations are identities.
 8.2.50: In Exercises 3550, prove that the given equations are identities.
 8.2.51: If and tan find a b, given that and Hint: Compute tan(a b). 5
 8.2.52: Let z tan u for . Show that (a) and (b) Explain why these formulas ...
 8.2.53: (a) Use a calculator to verify that the value x cos 20 is a root of...
 8.2.54: (a) Use a calculator to verify that the value is a root of the cubi...
 8.2.55: The following figure shows a semicircle with radius AO 1. (a) Use t...
 8.2.56: In this exercise well use the accompanying figure to prove the foll...
 8.2.57: Prove the following identities involving products of cosines. Sugge...
 8.2.58: (a) Use your calculator to evaluate the expression cos 72 cos 144. ...
 8.2.59: (a) Use your calculator to evaluate the expression cos 72 cos 144. ...
 8.2.60: In the figure below, the points A1, A2, A3, A4, and A5 are the vert...
 8.2.61: For Exercises 61 and 62, refer to the following figures. Figure A s...
 8.2.62: For Exercises 61 and 62, refer to the following figures. Figure A s...
 8.2.63: (a) Use your calculator to check that sin 18 sin 54 1/4 (b) Supply ...
 8.2.64: (a) Use your calculator to check that sin 10 sin 50 sin 70 1/8 (b) ...
 8.2.65: (a) Use two of the addition formulas from the previous section to s...
 8.2.66: (a) Use your calculator to check that sin 10 sin 50 sin 70 1/8 (b) ...
 8.2.67: In this exercise we show that the irrational number is a root of th...
 8.2.68: Calculation of sin 18, cos 18, and sin 3. (a) Prove that cos 3u 4 c...
Solutions for Chapter 8.2: THE DOUBLEANGLE FORMULAS
Full solutions for Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign)  4th Edition
ISBN: 9780534402303
Solutions for Chapter 8.2: THE DOUBLEANGLE FORMULAS
Get Full SolutionsPrecalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780534402303. Chapter 8.2: THE DOUBLEANGLE FORMULAS includes 68 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign), edition: 4. Since 68 problems in chapter 8.2: THE DOUBLEANGLE FORMULAS have been answered, more than 24674 students have viewed full stepbystep solutions from this chapter.

Arctangent function
See Inverse tangent function.

Coefficient of determination
The number r2 or R2 that measures how well a regression curve fits the data

Complex number
An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

Damping factor
The factor Aea in an equation such as y = Aeat cos bt

Data
Facts collected for statistical purposes (singular form is datum)

Elimination method
A method of solving a system of linear equations

Ellipse
The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.

Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.

Periodic function
A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

PH
The measure of acidity

Polynomial function
A function in which ƒ(x)is a polynomial in x, p. 158.

Reciprocal identity
An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

Sample standard deviation
The standard deviation computed using only a sample of the entire population.

Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true

Standard form: equation of a circle
(x  h)2 + (y  k2) = r 2

Sum of two vectors
<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

Symmetric matrix
A matrix A = [aij] with the property aij = aji for all i and j

Tangent
The function y = tan x

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