 5.391: In Exercises 1 and 2, write the expression as the sine, cosine, or ...
 5.392: In Exercises 1 and 2, write the expression as the sine, cosine, or ...
 5.393: In Exercises 3 and 4, simplify the expression to a single term. Sup...
 5.394: In Exercises 3 and 4, simplify the expression to a single term. Sup...
 5.395: In Exercises 522, prove the identitycos 3x = 4 cos3 x  3 cos x
 5.396: In Exercises 522, prove the identitycos2 2x  cos2 x = sin2 x  sin...
 5.397: In Exercises 522, prove the identitytan2 x  sin2 x = sin2 x tan2 x
 5.398: In Exercises 522, prove the identity.2 sin u cos3 u + 2 sin3 u cos ...
 5.399: In Exercises 522, prove the identity.csc x  cos x cot x = sin x
 5.400: In Exercises 522, prove the identity.tan u + sin u 2 tan u = cos2 a...
 5.401: In Exercises 522, prove the identity.+ tan u 1  tan u + 1 + cot u ...
 5.402: In Exercises 522, prove the identity.sin 3u = 3 cos2 u sin u  sin3 u
 5.403: In Exercises 522, prove the identity.cos2 a t 2 b = 1 + sec t 2 sec t
 5.404: In Exercises 522, prove the identity.tan3 g  cot3 g tan2 g + csc2 ...
 5.405: In Exercises 522, prove the identity.cos f 1  tan f + sin f 1  co...
 5.406: In Exercises 522, prove the identity.cos 1z2 sec 1z2 + tan 1z2 =...
 5.407: In Exercises 522, prove the identity.A 1  cos y 1 + cos y = 1  co...
 5.408: In Exercises 522, prove the identity.A 1  sin g 1 + sin g = cos g ...
 5.409: In Exercises 522, prove the identity.tan au + 3p 4 b = tan u  1 1 ...
 5.410: In Exercises 522, prove the identity.1 4 sin 4g = sin g cos3 g  co...
 5.411: In Exercises 522, prove the identity.tan 1 2 b = csc b  cot b
 5.412: In Exercises 522, prove the identity.arctan t = 1 2 arctan 2t 1  t...
 5.413: In Exercises 23 and 24, use a grapher to conjecture whether the equ...
 5.414: In Exercises 23 and 24, use a grapher to conjecture whether the equ...
 5.415: In Exercises 2528, write the expression in terms of and only.sin 3x...
 5.416: In Exercises 2528, write the expression in terms of and only.sin 2x...
 5.417: In Exercises 2528, write the expression in terms of and only.cos2 2...
 5.418: In Exercises 2528, write the expression in terms of and only.sin 3x...
 5.419: In Exercises 2934, find the general solution without using a calcul...
 5.420: In Exercises 2934, find the general solution without using a calcul...
 5.421: In Exercises 2934, find the general solution without using a calcul...
 5.422: In Exercises 2934, find the general solution without using a calcul...
 5.423: In Exercises 2934, find the general solution without using a calcul...
 5.424: In Exercises 2934, find the general solution without using a calcul...
 5.425: In Exercises 3538, solve the equation graphically. Find all solutio...
 5.426: In Exercises 3538, solve the equation graphically. Find all solutio...
 5.427: In Exercises 3538, solve the equation graphically. Find all solutio...
 5.428: In Exercises 39 44, find all solutions in the interval without usin...
 5.429: In Exercises 39 44, find all solutions in the interval without usin...
 5.430: In Exercises 39 44, find all solutions in the interval without usin...
 5.431: In Exercises 39 44, find all solutions in the interval without usin...
 5.432: In Exercises 39 44, find all solutions in the interval without usin...
 5.433: In Exercises 39 44, find all solutions in the interval without usin...
 5.434: In Exercises 4548, solve the inequality. Use any method, but give e...
 5.435: In Exercises 4548, solve the inequality. Use any method, but give e...
 5.436: In Exercises 4548, solve the inequality. Use any method, but give e...
 5.437: In Exercises 4548, solve the inequality. Use any method, but give e...
 5.438: In Exercises 49 and 50, find an equivalent equation of the form Sup...
 5.439: In Exercises 49 and 50, find an equivalent equation of the form Sup...
 5.440: In Exercises 5158, solve .A = 79 B = 33 a = 7
 5.441: In Exercises 5158, solve .a = 5 b = 8 B = 110
 5.442: In Exercises 5158, solve .a = 8, , b = 3 B = 30
 5.443: In Exercises 5158, solve .a = 14.7 A = 29.3 C = 33
 5.444: In Exercises 5158, solve .A = 34 B = 74 c = 5
 5.445: In Exercises 5158, solve .c = 41, , A = 22.9 C = 55.1
 5.446: In Exercises 5158, solve .a = 5 b = 7 c = 6
 5.447: In Exercises 5158, solve .A = 85 a = 6 b = 4
 5.448: In Exercises 59 and 60, find the area of .a = 3 b = 5 c = 6
 5.449: In Exercises 59 and 60, find the area of .a = 10 b = 6 C = 50
 5.450: If and , determine the values of b that will produce the indicated ...
 5.451: Surveying a Canyon Two markers A and B on the same side of a canyon...
 5.452: Altitude A hotair balloon is seen over Tucson, Arizona, simultaneo...
 5.453: Finding Distance In order to determine the distance between two poi...
 5.454: Finding Radian Measure Find the radian measure of the largest angle...
 5.455: Finding a Parallelogram A parallelogram has sides of 15 and 24 ft, ...
 5.456: Maximizing Area A trapezoid is inscribed in the upper half of a uni...
 5.457: Beehive Cells A single cell in a beehive is a regular hexagonal pri...
 5.458: Cable Television Coverage A cable broadcast satellite S orbits a pl...
 5.459: Finding Extremum Values The graph of is shown in the figure. The x...
 5.460: Using Trigonometry in Geometry A regular hexagon whose sides are 16...
 5.461: Using Trigonometry in Geometry A circle is inscribed in a regular p...
 5.462: Using Trigonometry in Geometry A wheel of cheese in the shape of a ...
 5.463: ProducttoSum Formulas Prove the following identities, which are c...
 5.464: SumtoProduct Formulas Use the producttosum formulas in Exercise...
 5.465: Catching Students Faking Data Carmen and Pat both need to make up a...
 5.466: An Interesting Fact About (sin A)/a The ratio that shows up in the ...
 5.467: Enter the data in the table above into your grapher or computer. Cr...
 5.468: Find values for a, b, h, and k so the equation models the data in t...
 5.469: Verify graphically the cofunction identity by substituting for in t...
 5.470: Verify graphically the oddeven identity for the model in #2 by sub...
 5.471: Find values for a, b, h, and k so the equation fits the data in the...
 5.472: Verify graphically the cofunction identity by substituting for in t...
 5.473: Verify graphically the oddeven identity for the model in #5 by sub...
Solutions for Chapter 5: Analytic Trigonometry
Full solutions for Precalculus: Graphical, Numerical, Algebraic  8th Edition
ISBN: 9780321656933
Solutions for Chapter 5: Analytic Trigonometry
Get Full SolutionsPrecalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933. Chapter 5: Analytic Trigonometry includes 83 full stepbystep solutions. This textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition. This expansive textbook survival guide covers the following chapters and their solutions. Since 83 problems in chapter 5: Analytic Trigonometry have been answered, more than 45502 students have viewed full stepbystep solutions from this chapter.

Acute triangle
A triangle in which all angles measure less than 90°

Augmented matrix
A matrix that represents a system of equations.

Damping factor
The factor Aea in an equation such as y = Aeat cos bt

Domain of a function
The set of all input values for a function

Fundamental
Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

Midpoint (in Cartesian space)
For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

Minute
Angle measure equal to 1/60 of a degree.

Multiplicative inverse of a complex number
The reciprocal of a + bi, or 1 a + bi = a a2 + b2 ba2 + b2 i

Multiplicative inverse of a matrix
See Inverse of a matrix

Order of magnitude (of n)
log n.

Real number
Any number that can be written as a decimal.

Second quartile
See Quartile.

Semimajor axis
The distance from the center to a vertex of an ellipse.

Symmetric matrix
A matrix A = [aij] with the property aij = aji for all i and j

Trigonometric form of a complex number
r(cos ? + i sin ?)

Union of two sets A and B
The set of all elements that belong to A or B or both.

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

Weights
See Weighted mean.

xzplane
The points x, 0, z in Cartesian space.

Zero factorial
See n factorial.