 5.4.1: Fill in the blank to complete the trigonometric identity
 5.4.2: Fill in the blank to complete the trigonometric identity
 5.4.3: Fill in the blank to complete the trigonometric identity
 5.4.4: Fill in the blank to complete the trigonometric identity
 5.4.5: Fill in the blank to complete the trigonometric identity
 5.4.6: Fill in the blank to complete the trigonometric identity
 5.4.7: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.8: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.9: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.10: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.11: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.12: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.13: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.14: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.15: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.16: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.17: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.18: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.19: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.20: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.21: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.22: In Exercises 722, find the exact values of the sine, cosine, and ta...
 5.4.23: In Exercises 2330, write the expression as the sine, cosine, or tan...
 5.4.24: In Exercises 2330, write the expression as the sine, cosine, or tan...
 5.4.25: In Exercises 2330, write the expression as the sine, cosine, or tan...
 5.4.26: In Exercises 2330, write the expression as the sine, cosine, or tan...
 5.4.27: In Exercises 2330, write the expression as the sine, cosine, or tan...
 5.4.28: In Exercises 2330, write the expression as the sine, cosine, or tan...
 5.4.29: In Exercises 2330, write the expression as the sine, cosine, or tan...
 5.4.30: In Exercises 2330, write the expression as the sine, cosine, or tan...
 5.4.31: In Exercises 3136, find the exact value of the expression
 5.4.32: In Exercises 3136, find the exact value of the expression
 5.4.33: In Exercises 3136, find the exact value of the expression
 5.4.34: In Exercises 3136, find the exact value of the expression
 5.4.35: In Exercises 3136, find the exact value of the expression
 5.4.36: In Exercises 3136, find the exact value of the expression
 5.4.37: In Exercises 3744, find the exact value of the trigonometric functi...
 5.4.38: In Exercises 3744, find the exact value of the trigonometric functi...
 5.4.39: In Exercises 3744, find the exact value of the trigonometric functi...
 5.4.40: In Exercises 3744, find the exact value of the trigonometric functi...
 5.4.41: In Exercises 3744, find the exact value of the trigonometric functi...
 5.4.42: In Exercises 3744, find the exact value of the trigonometric functi...
 5.4.43: In Exercises 3744, find the exact value of the trigonometric functi...
 5.4.44: In Exercises 3744, find the exact value of the trigonometric functi...
 5.4.45: In Exercises 4550, find the exact value of the trigonometric functi...
 5.4.46: In Exercises 4550, find the exact value of the trigonometric functi...
 5.4.47: In Exercises 4550, find the exact value of the trigonometric functi...
 5.4.48: In Exercises 4550, find the exact value of the trigonometric functi...
 5.4.49: In Exercises 4550, find the exact value of the trigonometric functi...
 5.4.50: In Exercises 4550, find the exact value of the trigonometric functi...
 5.4.51: In Exercises 5154, write the trigonometric expression as an algebra...
 5.4.52: In Exercises 5154, write the trigonometric expression as an algebra...
 5.4.53: In Exercises 5154, write the trigonometric expression as an algebra...
 5.4.54: In Exercises 5154, write the trigonometric expression as an algebra...
 5.4.55: In Exercises 5564, verify the identity.
 5.4.56: In Exercises 5564, verify the identity.
 5.4.57: In Exercises 5564, verify the identity.
 5.4.58: In Exercises 5564, verify the identity.
 5.4.59: In Exercises 5564, verify the identity.
 5.4.60: In Exercises 5564, verify the identity.
 5.4.61: In Exercises 5564, verify the identity.
 5.4.62: In Exercises 5564, verify the identity.
 5.4.63: In Exercises 5564, verify the identity.
 5.4.64: In Exercises 5564, verify the identity.
 5.4.65: In Exercises 6568, simplify the expression algebraically and use a ...
 5.4.66: In Exercises 6568, simplify the expression algebraically and use a ...
 5.4.67: In Exercises 6568, simplify the expression algebraically and use a ...
 5.4.68: In Exercises 6568, simplify the expression algebraically and use a ...
 5.4.69: In Exercises 6972, find all solutions of the equation in the interval
 5.4.70: In Exercises 6972, find all solutions of the equation in the interval
 5.4.71: In Exercises 6972, find all solutions of the equation in the interval
 5.4.72: In Exercises 6972, find all solutions of the equation in the interval
 5.4.73: In Exercises 73 and 74, use a graphing utility to approximate the s...
 5.4.74: In Exercises 73 and 74, use a graphing utility to approximate the s...
 5.4.75: Harmonic Motion A weight is attached to a spring suspended vertical...
 5.4.76: Standing Waves The equation of a standing wave is obtained by addin...
 5.4.77: True or False? In Exercises 7780, determine whether the statement i...
 5.4.78: True or False? In Exercises 7780, determine whether the statement i...
 5.4.79: True or False? In Exercises 7780, determine whether the statement i...
 5.4.80: True or False? In Exercises 7780, determine whether the statement i...
 5.4.81: In Exercises 8184, verify the identityis an integer
 5.4.82: In Exercises 8184, verify the identityis an integer
 5.4.83: In Exercises 8184, verify the identitywhere and
 5.4.84: In Exercises 8184, verify the identitywhere and
 5.4.85: In Exercises 8588, use the formulas given in Exercises 83 and 84 to...
 5.4.86: In Exercises 8588, use the formulas given in Exercises 83 and 84 to...
 5.4.87: In Exercises 8588, use the formulas given in Exercises 83 and 84 to...
 5.4.88: In Exercises 8588, use the formulas given in Exercises 83 and 84 to...
 5.4.89: In Exercises 89 and 90, use the formulas given in Exercises 83 and ...
 5.4.90: In Exercises 89 and 90, use the formulas given in Exercises 83 and ...
 5.4.91: Verify the following identity used in calculus.
 5.4.92: Exploration Let in the identity in Exercise 91 and define the funct...
 5.4.93: In Exercises 93 and 94, use the figure, which shows two lines whose...
 5.4.94: In Exercises 93 and 94, use the figure, which shows two lines whose...
 5.4.95: Conjecture Consider the function given by Use a graphing utility to...
 5.4.96: Proof (a) Write a proof of the formula for (b) Write a proof of the...
 5.4.97: In Exercises 97100, find the inverse function of Verify that and
 5.4.98: In Exercises 97100, find the inverse function of Verify that and
 5.4.99: In Exercises 97100, find the inverse function of Verify that and
 5.4.100: In Exercises 97100, find the inverse function of Verify that and
 5.4.101: In Exercises 101104, apply the inverse properties of and to simplif...
 5.4.102: In Exercises 101104, apply the inverse properties of and to simplif...
 5.4.103: In Exercises 101104, apply the inverse properties of and to simplif...
 5.4.104: In Exercises 101104, apply the inverse properties of and to simplif...
Solutions for Chapter 5.4: Sum and Difference Formulas
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter 5.4: Sum and Difference Formulas
Get Full SolutionsSince 104 problems in chapter 5.4: Sum and Difference Formulas have been answered, more than 37127 students have viewed full stepbystep solutions from this chapter. Chapter 5.4: Sum and Difference Formulas includes 104 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, edition: 7. Precalculus was written by and is associated to the ISBN: 9780618643448.

Absolute minimum
A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

Compound interest
Interest that becomes part of the investment

Conditional probability
The probability of an event A given that an event B has already occurred

Definite integral
The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

Division algorithm for polynomials
Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

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

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

Hypotenuse
Side opposite the right angle in a right triangle.

Identity function
The function ƒ(x) = x.

Initial value of a function
ƒ 0.

Integrable over [a, b] Lba
ƒ1x2 dx exists.

Multiplication property of inequality
If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

NDER ƒ(a)
See Numerical derivative of ƒ at x = a.

Parameter interval
See Parametric equations.

Polynomial in x
An expression that can be written in the form an x n + an1x n1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

Rational function
Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

Row operations
See Elementary row operations.

Third quartile
See Quartile.

Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

Weighted mean
A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.