 83.8.3.1: In Exercises 19, find exact values without a calculator.tan 5 4
 83.8.3.2: In Exercises 19, find exact values without a calculator.tan 3
 83.8.3.3: In Exercises 19, find exact values without a calculator.tan 2 3
 83.8.3.4: In Exercises 19, find exact values without a calculator.cot 4
 83.8.3.5: In Exercises 19, find exact values without a calculator.tan 11 6
 83.8.3.6: In Exercises 19, find exact values without a calculator.csc 5 4
 83.8.3.7: In Exercises 19, find exact values without a calculator.cot 5 3
 83.8.3.8: In Exercises 19, find exact values without a calculator.sec 11 6
 83.8.3.9: In Exercises 19, find exact values without a calculator.sec 6 I
 83.8.3.10: In Exercises 1017, simplify the expression (for values of the varia...
 83.8.3.11: In Exercises 1017, simplify the expression (for values of the varia...
 83.8.3.12: In Exercises 1017, simplify the expression (for values of the varia...
 83.8.3.13: In Exercises 1017, simplify the expression (for values of the varia...
 83.8.3.14: In Exercises 1017, simplify the expression (for values of the varia...
 83.8.3.15: In Exercises 1017, simplify the expression (for values of the varia...
 83.8.3.16: In Exercises 1017, simplify the expression (for values of the varia...
 83.8.3.17: In Exercises 1017, simplify the expression (for values of the varia...
 83.8.3.18: 1820 refer to the unit circle in Figure 8.35. The point P correspon...
 83.8.3.19: 1820 refer to the unit circle in Figure 8.35. The point P correspon...
 83.8.3.20: 1820 refer to the unit circle in Figure 8.35. The point P correspon...
 83.8.3.21: In 2124, give exact answers for 0 /2.If cos = 1 2 , what is sec ? t...
 83.8.3.22: In 2124, give exact answers for 0 /2.If cos = 1 2 , what is csc ? c...
 83.8.3.23: In 2124, give exact answers for 0 /2.If sin = 1 3 , what is sec ? t...
 83.8.3.24: In 2124, give exact answers for 0 /2.If sec = 17, what is sin ? tan ?
 83.8.3.25: In 2526, give a possible formula for the function.
 83.8.3.26: In 2526, give a possible formula for the function.
 83.8.3.27: If y = sin for 0 << 90, find cos in terms of y.
 83.8.3.28: (a) If cos = 3/5 and is in the third quadrant, find exact values fo...
 83.8.3.29: (a) If cos = 0.4626 and 3/2 << 2, find decimal approximations for s...
 83.8.3.30: Use the fact that sine is an odd function and cosine is an even fun...
 83.8.3.31: 3134 give an expression for one of the three functions sin , cos , ...
 83.8.3.32: 3134 give an expression for one of the three functions sin , cos , ...
 83.8.3.33: 3134 give an expression for one of the three functions sin , cos , ...
 83.8.3.34: 3134 give an expression for one of the three functions sin , cos , ...
 83.8.3.35: (a) Use graphs to decide if each of the following is an identity: (...
 83.8.3.36: (a) Graph y = 2 sin t and y = sin t + sin(1.01t) on the interval 2 ...
 83.8.3.37: (a) At what values of t does the graph of y = tan t have vertical a...
 83.8.3.38: Graph y = cos xtan x. Is this function exactly the same as y = sin ...
 83.8.3.39: Using their graphs, explain the behavior of each the functions y = ...
Solutions for Chapter 83: TRIGONOMETRIC FUNCTIONS: RELATIONSHIPS AND GRAPHS
Full solutions for Functions Modeling Change: A Preparation for Calculus  4th Edition
ISBN: 9780470484753
Solutions for Chapter 83: TRIGONOMETRIC FUNCTIONS: RELATIONSHIPS AND GRAPHS
Get Full SolutionsChapter 83: TRIGONOMETRIC FUNCTIONS: RELATIONSHIPS AND GRAPHS includes 39 full stepbystep solutions. Since 39 problems in chapter 83: TRIGONOMETRIC FUNCTIONS: RELATIONSHIPS AND GRAPHS have been answered, more than 26169 students have viewed full stepbystep solutions from this chapter. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4.

Absolute value of a real number
Denoted by a, represents the number a or the positive number a if a < 0.

artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in threedimensional space and ordered triples of real numbers

Boxplot (or boxandwhisker plot)
A graph that displays a fivenumber summary

Circular functions
Trigonometric functions when applied to real numbers are circular functions

Combinatorics
A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

Degree
Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Imaginary part of a complex number
See Complex number.

Interval
Connected subset of the real number line with at least two points, p. 4.

Line graph
A graph of data in which consecutive data points are connected by line segments

Midpoint (in a coordinate plane)
For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

Multiplicative identity for matrices
See Identity matrix

Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

Polar distance formula
The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22  2r1r2 cos 1?1  ?22

Reflection through the origin
x, y and (x,y) are reflections of each other through the origin.

Regression model
An equation found by regression and which can be used to predict unknown values.

Sum of an infinite geometric series
Sn = a 1  r , r 6 1

Transitive property
If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.