 5.1.1: Fill in the blank to complete the trigonometric identity.
 5.1.11: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.2: Fill in the blank to complete the trigonometric identity.
 5.1.12: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.3: Fill in the blank to complete the trigonometric identity.
 5.1.13: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.4: Fill in the blank to complete the trigonometric identity.
 5.1.14: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.5: Fill in the blank to complete the trigonometric identity.
 5.1.15: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.6: Fill in the blank to complete the trigonometric identity.
 5.1.16: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.7: Fill in the blank to complete the trigonometric identity.
 5.1.17: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.8: Fill in the blank to complete the trigonometric identity.
 5.1.18: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.9: Fill in the blank to complete the trigonometric identity.
 5.1.19: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.10: Fill in the blank to complete the trigonometric identity.
 5.1.20: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.21: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.22: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.23: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.24: In Exercises 114, use the given values to evaluate (if possible) al...
 5.1.25: In Exercises 1520, match the trigonometric expression with one of t...
 5.1.26: In Exercises 1520, match the trigonometric expression with one of t...
 5.1.27: In Exercises 1520, match the trigonometric expression with one of t...
 5.1.28: In Exercises 1520, match the trigonometric expression with one of t...
 5.1.29: In Exercises 1520, match the trigonometric expression with one of t...
 5.1.30: In Exercises 1520, match the trigonometric expression with one of t...
 5.1.31: In Exercises 2126, match the trigonometric expression with one of t...
 5.1.32: In Exercises 2126, match the trigonometric expression with one of t...
 5.1.33: In Exercises 2126, match the trigonometric expression with one of t...
 5.1.34: In Exercises 2126, match the trigonometric expression with one of t...
 5.1.35: In Exercises 2126, match the trigonometric expression with one of t...
 5.1.36: In Exercises 2126, match the trigonometric expression with one of t...
 5.1.37: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.38: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.39: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.40: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.41: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.42: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.43: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.44: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.45: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.46: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.47: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.48: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.49: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.50: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.51: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.52: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.53: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.54: In Exercises 2744, use the fundamental identities to simplify the e...
 5.1.55: In Exercises 4556, factor the expression and use the fundamental id...
 5.1.56: In Exercises 4556, factor the expression and use the fundamental id...
 5.1.57: In Exercises 4556, factor the expression and use the fundamental id...
 5.1.58: In Exercises 4556, factor the expression and use the fundamental id...
 5.1.59: In Exercises 4556, factor the expression and use the fundamental id...
 5.1.60: In Exercises 4556, factor the expression and use the fundamental id...
 5.1.61: In Exercises 4556, factor the expression and use the fundamental id...
 5.1.62: In Exercises 4556, factor the expression and use the fundamental id...
 5.1.63: In Exercises 4556, factor the expression and use the fundamental id...
 5.1.64: In Exercises 4556, factor the expression and use the fundamental id...
 5.1.65: In Exercises 4556, factor the expression and use the fundamental id...
 5.1.66: In Exercises 4556, factor the expression and use the fundamental id...
 5.1.67: In Exercises 5760, perform the multiplication and use the fundament...
 5.1.68: In Exercises 5760, perform the multiplication and use the fundament...
 5.1.69: In Exercises 5760, perform the multiplication and use the fundament...
 5.1.70: In Exercises 5760, perform the multiplication and use the fundament...
 5.1.71: In Exercises 6164,perform the addition or subtraction and use the f...
 5.1.72: In Exercises 6164,perform the addition or subtraction and use the f...
 5.1.73: In Exercises 6164,perform the addition or subtraction and use the f...
 5.1.74: In Exercises 6164,perform the addition or subtraction and use the f...
 5.1.75: In Exercises 6568, rewrite the expression so that it is not in frac...
 5.1.76: In Exercises 6568, rewrite the expression so that it is not in frac...
 5.1.77: In Exercises 6568, rewrite the expression so that it is not in frac...
 5.1.78: In Exercises 6568, rewrite the expression so that it is not in frac...
 5.1.79: In Exercises 6972, use a graphing utility to complete the table and...
 5.1.80: In Exercises 6972, use a graphing utility to complete the table and...
 5.1.81: In Exercises 6972, use a graphing utility to complete the table and...
 5.1.82: In Exercises 6972, use a graphing utility to complete the table and...
 5.1.83: In Exercises 7376, use a graphing utility to determine which of the...
 5.1.84: In Exercises 7376, use a graphing utility to determine which of the...
 5.1.85: In Exercises 7376, use a graphing utility to determine which of the...
 5.1.86: In Exercises 7376, use a graphing utility to determine which of the...
 5.1.87: In Exercises 7782, use the trigonometric substitution to write the ...
 5.1.88: In Exercises 7782, use the trigonometric substitution to write the ...
 5.1.89: In Exercises 7782, use the trigonometric substitution to write the ...
 5.1.90: In Exercises 7782, use the trigonometric substitution to write the ...
 5.1.91: In Exercises 7782, use the trigonometric substitution to write the ...
 5.1.92: In Exercises 7782, use the trigonometric substitution to write the ...
 5.1.93: In Exercises 8386, use the trigonometric substitution to write the ...
 5.1.94: In Exercises 8386, use the trigonometric substitution to write the ...
 5.1.95: In Exercises 8386, use the trigonometric substitution to write the ...
 5.1.96: In Exercises 8386, use the trigonometric substitution to write the ...
 5.1.97: In Exercises 8790, use a graphing utility to solve the equation for...
 5.1.98: In Exercises 8790, use a graphing utility to solve the equation for...
 5.1.99: In Exercises 8790, use a graphing utility to solve the equation for...
 5.1.100: In Exercises 8790, use a graphing utility to solve the equation for...
 5.1.101: In Exercises 9194, rewrite the expression as a single logarithm and...
 5.1.102: In Exercises 9194, rewrite the expression as a single logarithm and...
 5.1.103: In Exercises 9194, rewrite the expression as a single logarithm and...
 5.1.104: In Exercises 9194, rewrite the expression as a single logarithm and...
 5.1.105: In Exercises 9598, use a calculator to demonstrate the identity for...
 5.1.106: In Exercises 9598, use a calculator to demonstrate the identity for...
 5.1.107: In Exercises 9598, use a calculator to demonstrate the identity for...
 5.1.108: In Exercises 9598, use a calculator to demonstrate the identity for...
 5.1.109: Friction The forces acting on an object weighing units on an inclin...
 5.1.110: Rate of Change The rate of change of the function is given by the e...
 5.1.111: The even and odd trigonometric identities are helpful for determini...
 5.1.112: A cofunction identity can be used to transform a tangent function s...
 5.1.113: In Exercises 103106, fill in the blanks. (Note: The notation indica...
 5.1.114: In Exercises 103106, fill in the blanks. (Note: The notation indica...
 5.1.115: In Exercises 103106, fill in the blanks. (Note: The notation indica...
 5.1.116: In Exercises 103106, fill in the blanks. (Note: The notation indica...
 5.1.117: In Exercises 107112, determine whether or not the equation is an id...
 5.1.118: In Exercises 107112, determine whether or not the equation is an id...
 5.1.119: In Exercises 107112, determine whether or not the equation is an id...
 5.1.120: In Exercises 107112, determine whether or not the equation is an id...
 5.1.121: In Exercises 107112, determine whether or not the equation is an id...
 5.1.122: In Exercises 107112, determine whether or not the equation is an id...
 5.1.123: Use the definitions of sine and cosine to derive the Pythagorean id...
 5.1.124: Writing Use the Pythagorean identity to derive the other Pythagorea...
 5.1.125: In Exercises 115 and 116, perform the operation and simplify.
 5.1.126: In Exercises 115 and 116, perform the operation and simplify.
 5.1.127: In Exercises 117120, perform the addition or subtraction and simplify.
 5.1.128: In Exercises 117120, perform the addition or subtraction and simplify.
 5.1.129: In Exercises 117120, perform the addition or subtraction and simplify.
 5.1.130: In Exercises 117120, perform the addition or subtraction and simplify.
 5.1.131: In Exercises 121124, sketch the graph of the function. (Include two...
 5.1.132: In Exercises 121124, sketch the graph of the function. (Include two...
 5.1.133: In Exercises 121124, sketch the graph of the function. (Include two...
 5.1.134: In Exercises 121124, sketch the graph of the function. (Include two...
Solutions for Chapter 5.1: Using Fundamental Identities
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter 5.1: Using Fundamental Identities
Get Full SolutionsSince 134 problems in chapter 5.1: Using Fundamental Identities have been answered, more than 39970 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.1: Using Fundamental Identities includes 134 full stepbystep solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Precalculus was written by and is associated to the ISBN: 9780618643448.

Annual percentage rate (APR)
The annual interest rate

Coefficient
The real number multiplied by the variable(s) in a polynomial term

Determinant
A number that is associated with a square matrix

Exponential function
A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

Fibonacci numbers
The terms of the Fibonacci sequence.

First quartile
See Quartile.

Gaussian curve
See Normal curve.

Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

Independent variable
Variable representing the domain value of a function (usually x).

Inequality
A statement that compares two quantities using an inequality symbol

Line of travel
The path along which an object travels

Local maximum
A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

Modulus
See Absolute value of a complex number.

Positive linear correlation
See Linear correlation.

Reflection
Two points that are symmetric with respect to a lineor a point.

Row operations
See Elementary row operations.

Statistic
A number that measures a quantitative variable for a sample from a population.

Transverse axis
The line segment whose endpoints are the vertices of a hyperbola.

Variance
The square of the standard deviation.

yzplane
The points (0, y, z) in Cartesian space.