 7.6.1: In Exercises 114, write each product as a sum or difference of sine...
 7.6.2: In Exercises 114, write each product as a sum or difference of sine...
 7.6.3: In Exercises 114, write each product as a sum or difference of sine...
 7.6.4: In Exercises 114, write each product as a sum or difference of sine...
 7.6.5: In Exercises 114, write each product as a sum or difference of sine...
 7.6.6: In Exercises 114, write each product as a sum or difference of sine...
 7.6.7: In Exercises 114, write each product as a sum or difference of sine...
 7.6.8: In Exercises 114, write each product as a sum or difference of sine...
 7.6.9: In Exercises 114, write each product as a sum or difference of sine...
 7.6.10: In Exercises 114, write each product as a sum or difference of sine...
 7.6.11: In Exercises 114, write each product as a sum or difference of sine...
 7.6.12: In Exercises 114, write each product as a sum or difference of sine...
 7.6.13: In Exercises 114, write each product as a sum or difference of sine...
 7.6.14: In Exercises 114, write each product as a sum or difference of sine...
 7.6.15: In Exercises 1528, write each expression as a product of sines and/...
 7.6.16: In Exercises 1528, write each expression as a product of sines and/...
 7.6.17: In Exercises 1528, write each expression as a product of sines and/...
 7.6.18: In Exercises 1528, write each expression as a product of sines and/...
 7.6.19: In Exercises 1528, write each expression as a product of sines and/...
 7.6.20: In Exercises 1528, write each expression as a product of sines and/...
 7.6.21: In Exercises 1528, write each expression as a product of sines and/...
 7.6.22: In Exercises 1528, write each expression as a product of sines and/...
 7.6.23: In Exercises 1528, write each expression as a product of sines and/...
 7.6.24: In Exercises 1528, write each expression as a product of sines and/...
 7.6.25: In Exercises 1528, write each expression as a product of sines and/...
 7.6.26: In Exercises 1528, write each expression as a product of sines and/...
 7.6.27: In Exercises 1528, write each expression as a product of sines and/...
 7.6.28: In Exercises 1528, write each expression as a product of sines and/...
 7.6.29: In Exercises 2934, simplify the trigonometric expressions
 7.6.30: In Exercises 2934, simplify the trigonometric expressions
 7.6.31: In Exercises 2934, simplify the trigonometric expressions
 7.6.32: In Exercises 2934, simplify the trigonometric expressions
 7.6.33: In Exercises 2934, simplify the trigonometric expressions
 7.6.34: In Exercises 2934, simplify the trigonometric expressions
 7.6.35: In Exercises 3542, verify the identities.
 7.6.36: In Exercises 3542, verify the identities.
 7.6.37: In Exercises 3542, verify the identities.
 7.6.38: In Exercises 3542, verify the identities.
 7.6.39: In Exercises 3542, verify the identities.
 7.6.40: In Exercises 3542, verify the identities.
 7.6.41: In Exercises 3542, verify the identities.
 7.6.42: In Exercises 3542, verify the identities.
 7.6.43: An analysis of the monthly costs and monthly revenues of a toy stor...
 7.6.44: An analysis of the monthly costs and monthly revenues of a toy stor...
 7.6.45: Write a mathematical description of a tone that results from simult...
 7.6.46: Write a mathematical description of a tone that results from simult...
 7.6.47: Write a mathematical description of a tone that results from simult...
 7.6.48: The two optical signals in Exercise 47 are beat together. What are ...
 7.6.49: What is the mathematical function that models the sound of dialing 4?
 7.6.50: What is the mathematical function that models the sound of dialing 3?
 7.6.51: A formula for finding the area of a triangle when given the measure...
 7.6.52: If the measures of angles B and C in Exercise 51 are and respective...
 7.6.53: Simplify the expression Solution: Expand by squaring. Group terms. ...
 7.6.54: Simplify the expression Solution: Multiply the expressions using th...
 7.6.55: cosAcosB = cosAB sinAsinB = sinAB
 7.6.56: The product of two cosine functions is a sum of two other cosine fu...
 7.6.57: The product of two cosine functions is a sum of two other cosine fu...
 7.6.58: The product of two sine functions is a difference of two cosine fun...
 7.6.59: Write as a sum or difference of sines and cosines
 7.6.60: Write as a sum or difference of sines and cosines.
 7.6.61: Prove the addition formula using the identities of this section
 7.6.62: Prove the difference formula using the identities of this section
 7.6.63: raph y = 1  3sin(x)sina 6 xb.
 7.6.64: Graph y = 4sin(2x  1)cos(2  x).
 7.6.65: Graph y =  cosa 2 3 xb cosa 5 6 xb.
 7.6.66: Graph y = x  cos(2x)sin(3x).
 7.6.67: Suggest an identity by graphing and determining the function based ...
 7.6.68: Suggest an identity by graphing and determining the function based ...
 7.6.69: With a graphing calculator, plot and in the same Y3 = 1 2 Y [cos(2x...
 7.6.70: With a graphing calculator, plot and Y3 = in the same 1 2 Y [cos(6x...
Solutions for Chapter 7.6: ProducttoSum and SumtoProduct Identities
Full solutions for Algebra and Trigonometry,  3rd Edition
ISBN: 9780840068132
Solutions for Chapter 7.6: ProducttoSum and SumtoProduct Identities
Get Full SolutionsThis textbook survival guide was created for the textbook: Algebra and Trigonometry,, edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Since 70 problems in chapter 7.6: ProducttoSum and SumtoProduct Identities have been answered, more than 44760 students have viewed full stepbystep solutions from this chapter. Chapter 7.6: ProducttoSum and SumtoProduct Identities includes 70 full stepbystep solutions. Algebra and Trigonometry, was written by and is associated to the ISBN: 9780840068132.

Arccotangent function
See Inverse cotangent function.

Branches
The two separate curves that make up a hyperbola

Closed interval
An interval that includes its endpoints

Coefficient matrix
A matrix whose elements are the coefficients in a system of linear equations

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

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

Divergence
A sequence or series diverges if it does not converge

Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Equilibrium point
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Limit
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

Quadrant
Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

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.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

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

Terms of a sequence
The range elements of a sequence.

Viewing window
The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

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.