 7.1: An equation is called an identity if it is valid forvalues of the v...
 7.2: For any x it is true that cos1x2 has the same value as cos x.We exp...
 7.3: Simplifying Trigonometric Expressions Write the trigonometricexpres...
 7.4: Simplifying Trigonometric Expressions Write the trigonometricexpres...
 7.5: Simplifying Trigonometric Expressions Write the trigonometricexpres...
 7.6: Simplifying Trigonometric Expressions Write the trigonometricexpres...
 7.7: Simplifying Trigonometric Expressions Write the trigonometricexpres...
 7.8: Simplifying Trigonometric Expressions Write the trigonometricexpres...
 7.9: Simplifying Trigonometric Expressions Write the trigonometricexpres...
 7.10: Simplifying Trigonometric Expressions Write the trigonometricexpres...
 7.11: Simplifying Trigonometric Expressions Write the trigonometricexpres...
 7.12: Simplifying Trigonometric Expressions Write the trigonometricexpres...
 7.13: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.14: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.15: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.16: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.17: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.18: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.19: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.20: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.21: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.22: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.23: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.24: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.25: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.26: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.27: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.28: Simplifying Trigonometric Expressions Simplify thetrigonometric exp...
 7.29: Proving an Identity Algebraically and Graphically Considerthe given...
 7.30: Proving an Identity Algebraically and Graphically Considerthe given...
 7.31: Proving Identities Verify the identity. sin utan u cos u
 7.32: Proving Identities Verify the identity. tan xsec x sin x
 7.33: Proving Identities Verify the identity. cos u sec utan u cot u
 7.34: Proving Identities Verify the identity. cot x sec xcsc x 1
 7.35: Proving Identities Verify the identity. tan ycsc y1cos y1sec y
 7.36: Proving Identities Verify the identity. cos2sin csc sin
 7.37: Proving Identities Verify the identity. cos1x2 sin1x2 cos x sin x
 7.38: Proving Identities Verify the identity. cot1a2 cos1a2 sin1a2 csc a
 7.39: Proving Identities Verify the identity.tan u cot u sec u csc u
 7.40: Proving Identities Verify the identity. 1sin x cos x22 1 2 sin x cos x
 7.41: Proving Identities Verify the identity. 11 cos b2 11 cos b2 1csc2b
 7.42: Proving Identities Verify the identity. cos xsec xsin xcsc x 1
 7.43: Proving Identities Verify the identity. 11 sin2y 1 tan2y
 7.44: Proving Identities Verify the identity.csc x sin x cos x cot x
 7.45: Proving Identities Verify the identity. 1tan x cot x22 sec2x csc2x
 7.46: Proving Identities Verify the identity. tan2x cot2x sec2x csc2x
 7.47: Proving Identities Verify the identity. 11 sin2t cos2t 22 4 sin2t c...
 7.48: Proving Identities Verify the identity. 2 sin x cos x1sin x cos x22...
 7.49: Proving Identities Verify the identity. csc x cos2x sin x csc x
 7.50: Proving Identities Verify the identity. cot2t cos2t cot2t cos2t
 7.51: Proving Identities Verify the identity. 1sin x cos x22sin2x cos2xsi...
 7.52: Proving Identities Verify the identity. 1sin x cos x24 11 2 sin x c...
 7.53: Proving Identities Verify the identity. sec t cos tsec t sin2t
 7.54: Proving Identities Verify the identity. 1cot x csc x2 1cos x 12 sin x
 7.55: Proving Identities Verify the identity. cos2x sin2x 2 cos2x 1
 7.56: Proving Identities Verify the identity. 2 cos2x 1 1 2 sin2x
 7.57: Proving Identities Verify the identity. sin4 u cos4u sin2u cos2u
 7.58: Proving Identities Verify the identity. 11 cos2x2 11 cot2x2 1
 7.59: Proving Identities Verify the identity. 1sin t cos t 22sin t cos t ...
 7.60: Proving Identities Verify the identity. sec t csc t 1tan t cot t 2 ...
 7.61: Proving Identities Verify the identity. 1 tan2u1 tan2u1cos2u sin2u
 7.62: Proving Identities Verify the identity. 1 sec2x1 tan2x 1 cos2x
 7.63: Proving Identities Verify the identity.sec x csc xtan x cot x sin x...
 7.64: Proving Identities Verify the identity. sin x cos xsec x csc x sin ...
 7.65: Proving Identities Verify the identity.1 cos xsin xsin x1 cos x 2 c...
 7.66: Proving Identities Verify the identity. csc x cot xsec x 1 cot x
 7.67: Proving Identities Verify the identity. tan2u sin2u tan2u sin2u
 7.68: Proving Identities Verify the identity. sec4x tan4x sec2x tan2x
 7.69: Proving Identities Verify the identity. 1 tan x1 tan xcos x sin xco...
 7.70: Proving Identities Verify the identity. cos u1 sin usin u csc ucos ...
 7.71: Proving Identities Verify the identity. 1sec x tan x1sec x tan x 2 ...
 7.72: Proving Identities Verify the identity.cos2t tan2t 1sin2t tan2t
 7.73: Proving Identities Verify the identity. 1 sin x1 sin x1 sin x1 sin ...
 7.74: Proving Identities Verify the identity.tan x tan ycot x cot y tan x...
 7.75: Proving Identities Verify the identity. sin3x cos3xsin x cos x 1 si...
 7.76: Proving Identities Verify the identity. tan cot tan2 cot2 sin cos
 7.77: Proving Identities Verify the identity. 1 cos asin asin a1 cos a
 7.78: Proving Identities Verify the identity. sin x 1sin x 1cos2x1sin x 122
 7.79: Proving Identities Verify the identity. sin sin cos tan 1 tan
 7.80: Proving Identities Verify the identity. sin A1 cos A cot A csc A
 7.81: Proving Identities Verify the identity. sec xsec x tan x sec x 1sec...
 7.82: Proving Identities Verify the identity. sec tan 1sec tan
 7.83: Proving Identities Verify the identity. cos u1 sin u sec u tan u
 7.84: Proving Identities Verify the identity. tan sin tan sin tan sin tan...
 7.85: Proving Identities Verify the identity. 1 sin x1 sin x 1sec x tan x22
 7.86: Proving Identities Verify the identity. 1 sin x1 sin x 1tan x sec x22
 7.87: Proving Identities Verify the identity. csc x cot x 1csc x cot x
 7.88: Proving Identities Verify the identity. sec u 1sec u 1tan u sin uta...
 7.89: Trigonometric Substitution Make the indicatedtrigonometric substitu...
 7.90: Trigonometric Substitution Make the indicatedtrigonometric substitu...
 7.91: Trigonometric Substitution Make the indicatedtrigonometric substitu...
 7.92: Trigonometric Substitution Make the indicatedtrigonometric substitu...
 7.93: Trigonometric Substitution Make the indicatedtrigonometric substitu...
 7.94: Trigonometric Substitution Make the indicatedtrigonometric substitu...
 7.95: Determining Identities Graphically Graph fand g in the same viewing...
 7.96: Determining Identities Graphically Graph fand g in the same viewing...
 7.97: Determining Identities Graphically Graph fand g in the same viewing...
 7.98: Determining Identities Graphically Graph fand g in the same viewing...
 7.99: Proving More Identities Verify the identity. 1sin x sin y cos x cos...
 7.100: Proving More Identities Verify the identity. 1 cos x sin x1 cos x s...
 7.101: Proving More Identities Verify the identity. 1tan x cot x24 sec4x c...
 7.102: Proving More Identities Verify the identity. 1sin a tan a2 1cos a c...
 7.103: Proving More Identities Verify the identity. 1sin a tan a2 1cos a c...
 7.104: Proving More Identities Verify the identity. sin6b cos6b 1 3 sin2b ...
 7.105: Proving Identities Involving Other Functions Theseidentities involv...
 7.106: Proving Identities Involving Other Functions Theseidentities involv...
 7.107: Proving Identities Involving Other Functions Theseidentities involv...
 7.108: Proving Identities Involving Other Functions Theseidentities involv...
 7.109: Is the Equation an Identity? Determine whether thegiven equation is...
 7.110: Is the Equation an Identity? Determine whether thegiven equation is...
 7.111: Is the Equation an Identity? Determine whether thegiven equation is...
 7.112: Is the Equation an Identity? Determine whether thegiven equation is...
 7.113: An Identity Involving Three Variables Supposex R cos u sin f, y R s...
 7.114: Discuss: Equations That Are Identities You have encounteredmany ide...
 7.115: Discuss: Equations That Are Not Identities How can youtell if an eq...
 7.116: Discuss: Graphs and Identities Suppose you graph twofunctions, f an...
 7.117: DiscOV ER: Making Up Your Own Identity If you start witha trigonome...
 7.118: Discuss: Cofunction Identities In the right triangleshown, explain ...
Solutions for Chapter 7: Analytic Trigonometry
Full solutions for Precalculus: Mathematics for Calculus (Standalone Book)  7th Edition
ISBN: 9781305071759
Solutions for Chapter 7: Analytic Trigonometry
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 118 problems in chapter 7: Analytic Trigonometry have been answered, more than 5411 students have viewed full stepbystep solutions from this chapter. Chapter 7: Analytic Trigonometry includes 118 full stepbystep solutions. Precalculus: Mathematics for Calculus (Standalone Book) was written by and is associated to the ISBN: 9781305071759. This textbook survival guide was created for the textbook: Precalculus: Mathematics for Calculus (Standalone Book), edition: 7.

Differentiable at x = a
ƒ'(a) exists

Elements of a matrix
See Matrix element.

Ellipse
The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

Event
A subset of a sample space.

First quartile
See Quartile.

Future value of an annuity
The net amount of money returned from an annuity.

Inverse sine function
The function y = sin1 x

Line of symmetry
A line over which a graph is the mirror image of itself

Magnitude of a vector
The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

Main diagonal
The diagonal from the top left to the bottom right of a square matrix

Matrix, m x n
A rectangular array of m rows and n columns of real numbers

Product of matrices A and B
The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

Quadratic regression
A procedure for fitting a quadratic function to a set of data.

Residual
The difference y1  (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

Root of a number
See Principal nth root.

Sine
The function y = sin x.

Slant asymptote
An end behavior asymptote that is a slant line

Standard form of a complex number
a + bi, where a and b are real numbers

Standard representation of a vector
A representative arrow with its initial point at the origin

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