 8.1.1: In Exercises 110, use the addition formulas for sine and cosine to ...
 8.1.2: In Exercises 110, use the addition formulas for sine and cosine to ...
 8.1.3: In Exercises 110, use the addition formulas for sine and cosine to ...
 8.1.4: In Exercises 110, use the addition formulas for sine and cosine to ...
 8.1.5: In Exercises 110, use the addition formulas for sine and cosine to ...
 8.1.6: In Exercises 110, use the addition formulas for sine and cosine to ...
 8.1.7: In Exercises 110, use the addition formulas for sine and cosine to ...
 8.1.8: In Exercises 110, use the addition formulas for sine and cosine to ...
 8.1.9: In Exercises 110, use the addition formulas for sine and cosine to ...
 8.1.10: In Exercises 110, use the addition formulas for sine and cosine to ...
 8.1.11: In Exercises 1114, simplify each expression (as in Example 2).
 8.1.12: In Exercises 1114, simplify each expression (as in Example 2).
 8.1.13: In Exercises 1114, simplify each expression (as in Example 2).
 8.1.14: In Exercises 1114, simplify each expression (as in Example 2).
 8.1.15: Expand sin(t 2p) using the appropriate addition formula, and check ...
 8.1.16: Follow the directions in Exercise 15, but use cos(t 2p).
 8.1.17: Use the formula for cos(s t) to compute the exact value of cos 75.
 8.1.18: Use the formula for sin(s t) to compute the exact value of
 8.1.19: Use the formula for sin(s t) to
 8.1.20: Determine the exact value of (a) sin 105 and (b) cos 105.
 8.1.21: In Exercises 2124, use the addition formulas for sine and cosine to...
 8.1.22: In Exercises 2124, use the addition formulas for sine and cosine to...
 8.1.23: In Exercises 2124, use the addition formulas for sine and cosine to...
 8.1.24: In Exercises 2124, use the addition formulas for sine and cosine to...
 8.1.25: In Exercises 2528, compute the indicated quantity using the followi...
 8.1.26: In Exercises 2528, compute the indicated quantity using the followi...
 8.1.27: In Exercises 2528, compute the indicated quantity using the followi...
 8.1.28: In Exercises 2528, compute the indicated quantity using the followi...
 8.1.29: Suppose that sin u 1/5 and (a) Compute cos u. (b) Compute sin 2u. H...
 8.1.30: Suppose that cos and (a) Compute sin u. (b) Compute cos 2u. Hint: c...
 8.1.31: Given tan where and csc b 2, where find sin(u b) and cos(b u).
 8.1.32: Given sec where sin s 0, and cot t 1, where find sin(s t) and cos (...
 8.1.33: In Exercises 3336, prove that each equation is an identity.
 8.1.34: In Exercises 3336, prove that each equation is an identity.
 8.1.35: In Exercises 3336, prove that each equation is an identity.
 8.1.36: In Exercises 3336, prove that each equation is an identity.
 8.1.37: In Exercises 37 40, use the given information to compute tan(s t) a...
 8.1.38: In Exercises 37 40, use the given information to compute tan(s t) a...
 8.1.39: In Exercises 37 40, use the given information to compute tan(s t) a...
 8.1.40: In Exercises 37 40, use the given information to compute tan(s t) a...
 8.1.41: In Exercises 41 46, use the addition formulas for tangent to simpli...
 8.1.42: In Exercises 41 46, use the addition formulas for tangent to simpli...
 8.1.43: In Exercises 41 46, use the addition formulas for tangent to simpli...
 8.1.44: In Exercises 41 46, use the addition formulas for tangent to simpli...
 8.1.45: In Exercises 41 46, use the addition formulas for tangent to simpli...
 8.1.46: In Exercises 41 46, use the addition formulas for tangent to simpli...
 8.1.47: Compute tan and rationalize the answer.
 8.1.48: Compute tan 15 using the fact that 15 45 30. Then check that your a...
 8.1.49: In Exercises 4958, prove that each equation is an identity.
 8.1.50: In Exercises 4958, prove that each equation is an identity.
 8.1.51: In Exercises 4958, prove that each equation is an identity.
 8.1.52: In Exercises 4958, prove that each equation is an identity.
 8.1.53: In Exercises 4958, prove that each equation is an identity.
 8.1.54: In Exercises 4958, prove that each equation is an identity.
 8.1.55: In Exercises 4958, prove that each equation is an identity.
 8.1.56: In Exercises 4958, prove that each equation is an identity.
 8.1.57: In Exercises 4958, prove that each equation is an identity.
 8.1.58: In Exercises 4958, prove that each equation is an identity.
 8.1.59: In Exercises 59 61, you are asked to derive expressions for the ave...
 8.1.60: In Exercises 59 61, you are asked to derive expressions for the ave...
 8.1.61: In Exercises 59 61, you are asked to derive expressions for the ave...
 8.1.62: Let u be the acute angle defined by the following figure. Use an ad...
 8.1.63: Let a and b be positive constants, and let u be the acute angle (in...
 8.1.64: (a) Use an addition formula to show that (b) Use the result in part...
 8.1.65: (a) Use an addition formula to show that cos x sin x. (b) Use the r...
 8.1.66: Let A, B, and C be the angles of a triangle, so that A B C p. (a) S...
 8.1.67: Suppose that A, B, and C are the angles of a triangle, so that A B ...
 8.1.68: Prove thatsin1a b2cos a cos bsin1b g2cos b cos gsin1g a2cos g cos a 0H
 8.1.69: Suppose that a2 b2 1 and c2 d2 1. Prove that ac bd 1. Hint: Let a c...
 8.1.70: In Exercises 7072, simplify the expression.os1p6 t2 cos1p6 t2 sin1p...
 8.1.71: In Exercises 7072, simplify the expression.sin1p3 t2 cos1p3 t2 cos1...
 8.1.72: In Exercises 7072, simplify the expression.tan1A 2B2 tan1A 2B21 tan...
 8.1.73: If show that (1 tan a)(1 tan b) 2. E
 8.1.74: Exercises 74 and 75 outline simple geometric derivations of the for...
 8.1.75: Exercises 74 and 75 outline simple geometric derivations of the for...
 8.1.76: Let S and C be two functions. Assume that the domain for both S and...
 8.1.77: In Exercises 77 80, prove the identities.sin1A B2sin1A B2 tan A tan...
 8.1.78: In Exercises 77 80, prove the identities.cos1A B2cos1A B2 1 tan A t...
 8.1.79: In Exercises 77 80, prove the identities.cot1A B2 cot A cot B 1cot ...
 8.1.80: In Exercises 77 80, prove the identities.cot1A B2 cot A cot B 1cot ...
 8.1.81: Let f(t) cos2 t cos2 cos2 (a) Complete the table. (Use a calculator...
 8.1.82: (a) Use your calculator to check that tan 50 tan 40 2 tan 10. (b) P...
 8.1.83: If , show that tan(A B) (1 n)tan A.
 8.1.84: If triangle ABC is not a right triangle, and cos A cos B cos C, sho...
 8.1.85: (a) The angles of a triangle are A 20, B 50, and C 110. Use your ca...
Solutions for Chapter 8.1: THE ADDITION 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 8.1: THE ADDITION FORMULAS
Get Full SolutionsThis 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 85 problems in chapter 8.1: THE ADDITION FORMULAS have been answered, more than 25535 students have viewed full stepbystep solutions from this chapter. Precalculus: 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 8.1: THE ADDITION FORMULAS includes 85 full stepbystep solutions.

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)

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

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

Cone
See Right circular cone.

Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian threedimensional space

Dependent variable
Variable representing the range value of a function (usually y)

Differentiable at x = a
ƒ'(a) exists

Directed line segment
See Arrow.

Equilibrium price
See Equilibrium point.

Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).

Factor
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

Leastsquares line
See Linear regression line.

n factorial
For any positive integer n, n factorial is n! = n.(n  1) . (n  2) .... .3.2.1; zero factorial is 0! = 1

nth root of unity
A complex number v such that vn = 1

Orthogonal vectors
Two vectors u and v with u x v = 0.

Product of a scalar and a vector
The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

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

Slope
Ratio change in y/change in x

symmetric about the xaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

xyplane
The points x, y, 0 in Cartesian space.