 9.1: Suppose u is an acute angle and tan u cot u 2. Show that sin u cos u
 9.2: A 100ft vertical antenna is on the roof of a building. From a poin...
 9.3: In an isosceles triangle, the two base angles are each 35, and the ...
 9.4: Find the perimeter and the area of a regular pentagon inscribed in ...
 9.5: In triangle ABC, let h denote the length of the altitude from A to ...
 9.6: The length of each side of an equilateral triangle is 2a. Show that...
 9.7: From a helicopter h ft above the sea, the angle of depression to th...
 9.8: In Exercises 814, the lengths of the three sides of a triangle are ...
 9.9: In Exercises 814, the lengths of the three sides of a triangle are ...
 9.10: In Exercises 814, the lengths of the three sides of a triangle are ...
 9.11: In Exercises 814, the lengths of the three sides of a triangle are ...
 9.12: In Exercises 814, the lengths of the three sides of a triangle are ...
 9.13: In Exercises 814, the lengths of the three sides of a triangle are ...
 9.14: In Exercises 814, the lengths of the three sides of a triangle are ...
 9.15: In Exercises 1522 the lengths of the three sides of a triangle are ...
 9.16: In Exercises 1522 the lengths of the three sides of a triangle are ...
 9.17: In Exercises 1522 the lengths of the three sides of a triangle are ...
 9.18: In Exercises 1522 the lengths of the three sides of a triangle are ...
 9.19: In Exercises 1522 the lengths of the three sides of a triangle are ...
 9.20: In Exercises 1522 the lengths of the three sides of a triangle are ...
 9.21: In Exercises 1522 the lengths of the three sides of a triangle are ...
 9.22: In Exercises 1522 the lengths of the three sides of a triangle are ...
 9.23: In Exercises 2332, refer to the following figure. In each case, det...
 9.24: In Exercises 2332, refer to the following figure. In each case, det...
 9.25: In Exercises 2332, refer to the following figure. In each case, det...
 9.26: In Exercises 2332, refer to the following figure. In each case, det...
 9.27: In Exercises 2332, refer to the following figure. In each case, det...
 9.28: In Exercises 2332, refer to the following figure. In each case, det...
 9.29: In Exercises 2332, refer to the following figure. In each case, det...
 9.30: In Exercises 2332, refer to the following figure. In each case, det...
 9.31: In Exercises 2332, refer to the following figure. In each case, det...
 9.32: In Exercises 2332, refer to the following figure. In each case, det...
 9.33: In Exercises 33 and 34, refer to the following figure, in which bis...
 9.34: In Exercises 33 and 34, refer to the following figure, in which bis...
 9.35: In Exercises 35 and 36, refer to the following figure, in which AD DC.
 9.36: In Exercises 35 and 36, refer to the following figure, in which AD DC.
 9.37: In ^ABC, a 4, b 5, and c 6. (a) Find cos A and cos C. (b) Using the...
 9.38: In ^ABC, suppose that angle C is twice angle A. Show that ab c2 a2 .
 9.39: In Exercises 39 44, refer to the framework shown in the accompanyin...
 9.40: In Exercises 39 44, refer to the framework shown in the accompanyin...
 9.41: In Exercises 39 44, refer to the framework shown in the accompanyin...
 9.42: In Exercises 39 44, refer to the framework shown in the accompanyin...
 9.43: In Exercises 39 44, refer to the framework shown in the accompanyin...
 9.44: In Exercises 39 44, refer to the framework shown in the accompanyin...
 9.45: In this exercise you will verify some of the properties of the pent...
 9.46: A pilot on a training flight is supposed to leave the airport and f...
 9.47: The following figures show the same circle of diameter D inscribed ...
 9.48: Suppose that ^ABC is a right triangle with the right angle at C. Us...
 9.49: The perimeter and the area of the triangle in the figure are 20 cm ...
 9.50: In ^ABC, suppose that (a) Show that c2 (b2 a2 ) 2 /(a2 b2 ). Hint: ...
 9.51: Two forces F and G act on an object, G, horizontally to the right w...
 9.52: Determine the resultant of the two forces in the accompanying figur...
 9.53: Determine the horizontal and vertical components of the velocity ve...
 9.54: The heading and air speed of an airplane are 50 and 220 mph, respec...
 9.55: A block rests on an inclined plane that makes an angle of 24 with t...
 9.56: Find the length of the vector(20,99)
 9.57: For which values of b will the vectors and have the same length?
 9.58: Given the points A(2, 6) and B(7, 4), find the components of the fo...
 9.59: In Exercises 5970, compute each of the indicated quantities, given ...
 9.60: In Exercises 5970, compute each of the indicated quantities, given ...
 9.61: In Exercises 5970, compute each of the indicated quantities, given ...
 9.62: In Exercises 5970, compute each of the indicated quantities, given ...
 9.63: In Exercises 5970, compute each of the indicated quantities, given ...
 9.64: In Exercises 5970, compute each of the indicated quantities, given ...
 9.65: In Exercises 5970, compute each of the indicated quantities, given ...
 9.66: In Exercises 5970, compute each of the indicated quantities, given ...
 9.67: In Exercises 5970, compute each of the indicated quantities, given ...
 9.68: In Exercises 5970, compute each of the indicated quantities, given ...
 9.69: In Exercises 5970, compute each of the indicated quantities, given ...
 9.70: In Exercises 5970, compute each of the indicated quantities, given ...
 9.71: Express the vector in terms of the unit vectors i and j.
 9.72: Express the vector 4i 6j in the form
 9.73: Find a unit vector having the same direction as
 9.74: Find two unit vectors that are perpendicular to Simplify the compon...
 9.75: In Exercises 75 and 76, compute the distance between the points wit...
 9.76: In Exercises 75 and 76, compute the distance between the points wit...
 9.77: In Exercises 77 and 78, determine a polar equation for the circle s...
 9.78: In Exercises 77 and 78, determine a polar equation for the circle s...
 9.79: In Exercises 79 and 80, the polar equation of a line is given. In e...
 9.80: In Exercises 79 and 80, the polar equation of a line is given. In e...
 9.81: In Exercises 81 88, graph the polar equations.(a) r 2 2 cos u(b) r ...
 9.82: In Exercises 81 88, graph the polar equations.(a) r 2 4 cos 2u(b) r...
 9.83: In Exercises 81 88, graph the polar equations.(a) r 2 cos u 1(b) r ...
 9.84: In Exercises 81 88, graph the polar equations.(a) r 2 cos u(b) r 2 ...
 9.85: In Exercises 81 88, graph the polar equations.(a) r 4 sin 2u(b) r 4...
 9.86: In Exercises 81 88, graph the polar equations.(a) r 4 sin 3u(b) r 4...
 9.87: In Exercises 81 88, graph the polar equations.(a) r 1 2 sin(u/2)(b)...
 9.88: In Exercises 81 88, graph the polar equations.(a) r (1.5)u (u 0)(b)...
 9.89: In Exercises 8994, graph the curve (or line) determined by the para...
 9.90: In Exercises 8994, graph the curve (or line) determined by the para...
 9.91: In Exercises 8994, graph the curve (or line) determined by the para...
 9.92: In Exercises 8994, graph the curve (or line) determined by the para...
 9.93: In Exercises 8994, graph the curve (or line) determined by the para...
 9.94: In Exercises 8994, graph the curve (or line) determined by the para...
 9.95: In the accompanying figure, P and Q are two points on the polar cur...
 9.96: In this exercise you will use the following figure to derive the Mo...
 9.97: In this exercise we use the law of sines to deduce the law of tange...
 9.98: The following figure shows a sector of the unit circle x2 y2 1. The...
Solutions for Chapter 9: Additional Topics In Trigonometry
Full solutions for Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign)  4th Edition
ISBN: 9780534402303
Solutions for Chapter 9: Additional Topics In Trigonometry
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign), edition: 4. Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780534402303. Chapter 9: Additional Topics In Trigonometry includes 98 full stepbystep solutions. Since 98 problems in chapter 9: Additional Topics In Trigonometry have been answered, more than 24948 students have viewed full stepbystep solutions from this chapter.

Absolute value of a vector
See Magnitude of a vector.

Binomial theorem
A theorem that gives an expansion formula for (a + b)n

Constant of variation
See Power function.

Distance (in Cartesian space)
The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x )  x 2)2 + (y1  y2)2 + (z 1  z 2)2

equation of a quadratic function
ƒ(x) = ax 2 + bx + c(a ? 0)

Equilibrium price
See Equilibrium point.

Horizontal line
y = b.

Implied domain
The domain of a function’s algebraic expression.

Irrational zeros
Zeros of a function that are irrational numbers.

Lemniscate
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

Ordered set
A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

Riemann sum
A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

Sample space
Set of all possible outcomes of an experiment.

Slope
Ratio change in y/change in x

Standard deviation
A measure of how a data set is spread

Standard unit vectors
In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

Tangent
The function y = tan x

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

Zero vector
The vector <0,0> or <0,0,0>.