 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 16446 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.

Average velocity
The change in position divided by the change in time.

Bar chart
A rectangular graphical display of categorical data.

Equation
A statement of equality between two expressions.

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

Firstdegree equation in x , y, and z
An equation that can be written in the form.

Fivenumber summary
The minimum, first quartile, median, third quartile, and maximum of a data set.

Infinite sequence
A function whose domain is the set of all natural numbers.

Inverse properties
a + 1a2 = 0, a # 1a

Inverse secant function
The function y = sec1 x

Inverse variation
See Power function.

Logarithmic reexpression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

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

Natural logarithm
A logarithm with base e.

Negative numbers
Real numbers shown to the left of the origin on a number line.

nth root
See Principal nth root

Partial fraction decomposition
See Partial fractions.

Second quartile
See Quartile.

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0

Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.

Xscl
The scale of the tick marks on the xaxis in a viewing window.