 4.2.1: Fill in the blanks. Each real number corresponds to a point on the ...
 4.2.2: Fill in the blanks. A function is ________ when there exists a posi...
 4.2.3: Fill in the blanks. The smallest number for which a function is per...
 4.2.4: Fill in the blanks. A function is ________ when and ________ when f...
 4.2.5: Determining Values of Trigonometric Functions In Exercises 58, dete...
 4.2.6: Determining Values of Trigonometric Functions In Exercises 58, dete...
 4.2.7: Determining Values of Trigonometric Functions In Exercises 58, dete...
 4.2.8: Determining Values of Trigonometric Functions In Exercises 58, dete...
 4.2.9: Finding a Point on the Unit Circle In Exercises 912, find the point...
 4.2.10: Finding a Point on the Unit Circle In Exercises 912, find the point...
 4.2.11: Finding a Point on the Unit Circle In Exercises 912, find the point...
 4.2.12: Finding a Point on the Unit Circle In Exercises 912, find the point...
 4.2.13: Evaluating Sine, Cosine, and Tangent In Exercises 1322, evaluate (i...
 4.2.14: Evaluating Sine, Cosine, and Tangent In Exercises 1322, evaluate (i...
 4.2.15: Evaluating Sine, Cosine, and Tangent In Exercises 1322, evaluate (i...
 4.2.16: Evaluating Sine, Cosine, and Tangent In Exercises 1322, evaluate (i...
 4.2.17: Evaluating Sine, Cosine, and Tangent In Exercises 1322, evaluate (i...
 4.2.18: Evaluating Sine, Cosine, and Tangent In Exercises 1322, evaluate (i...
 4.2.19: Evaluating Sine, Cosine, and Tangent In Exercises 1322, evaluate (i...
 4.2.20: Evaluating Sine, Cosine, and Tangent In Exercises 1322, evaluate (i...
 4.2.21: Evaluating Sine, Cosine, and Tangent In Exercises 1322, evaluate (i...
 4.2.22: Evaluating Sine, Cosine, and Tangent In Exercises 1322, evaluate (i...
 4.2.23: Evaluating Trigonometric Functions In Exercises 2330, evaluate (if ...
 4.2.24: Evaluating Trigonometric Functions In Exercises 2330, evaluate (if ...
 4.2.25: Evaluating Trigonometric Functions In Exercises 2330, evaluate (if ...
 4.2.26: Evaluating Trigonometric Functions In Exercises 2330, evaluate (if ...
 4.2.27: Evaluating Trigonometric Functions In Exercises 2330, evaluate (if ...
 4.2.28: Evaluating Trigonometric Functions In Exercises 2330, evaluate (if ...
 4.2.29: Evaluating Trigonometric Functions In Exercises 2330, evaluate (if ...
 4.2.30: Evaluating Trigonometric Functions In Exercises 2330, evaluate (if ...
 4.2.31: Using Period to Evaluate Sine and Cosine In Exercises 3136, evaluat...
 4.2.32: Using Period to Evaluate Sine and Cosine In Exercises 3136, evaluat...
 4.2.33: Using Period to Evaluate Sine and Cosine In Exercises 3136, evaluat...
 4.2.34: Using Period to Evaluate Sine and Cosine In Exercises 3136, evaluat...
 4.2.35: Using Period to Evaluate Sine and Cosine In Exercises 3136, evaluat...
 4.2.36: Using Period to Evaluate Sine and Cosine In Exercises 3136, evaluat...
 4.2.37: Using the Value of a Trigonometric Function In Exercises 37 42, use...
 4.2.38: Using the Value of a Trigonometric Function In Exercises 37 42, use...
 4.2.39: Using the Value of a Trigonometric Function In Exercises 37 42, use...
 4.2.40: Using the Value of a Trigonometric Function In Exercises 37 42, use...
 4.2.41: Using the Value of a Trigonometric Function In Exercises 37 42, use...
 4.2.42: Using the Value of a Trigonometric Function In Exercises 37 42, use...
 4.2.43: Using a Calculator In Exercises 43 48, use a calculator to evaluate...
 4.2.44: Using a Calculator In Exercises 43 48, use a calculator to evaluate...
 4.2.45: Using a Calculator In Exercises 43 48, use a calculator to evaluate...
 4.2.46: Using a Calculator In Exercises 43 48, use a calculator to evaluate...
 4.2.47: Using a Calculator In Exercises 43 48, use a calculator to evaluate...
 4.2.48: Using a Calculator In Exercises 43 48, use a calculator to evaluate...
 4.2.49: Harmonic Motion The displacement from equilibrium of an oscillating...
 4.2.50: Harmonic Motion The displacement from equilibrium of an oscillating...
 4.2.51: True or False? In Exercises 5154, determine whether the statement i...
 4.2.52: True or False? In Exercises 5154, determine whether the statement i...
 4.2.53: True or False? In Exercises 5154, determine whether the statement i...
 4.2.54: True or False? In Exercises 5154, determine whether the statement i...
 4.2.55: Conjecture Let and be points on the unit circle corresponding to an...
 4.2.56: Using the Unit Circle Use the unit circle to verify that the cosine...
 4.2.57: Verifying Expressions Are Not Equal Verify that by approximating co...
 4.2.58: Verifying Expressions Are Not Equal Verify that by approximating and
 4.2.59: Graphical Analysis With a graphing utility in radian and parametric...
 4.2.60: HOW DO YOU SEE IT? Use the figure below. (a) Do all of the trigonom...
 4.2.61: Think About It Because is an odd function and is an even function, ...
 4.2.62: Think About It Because and are odd functions, what can be said abou...
Solutions for Chapter 4.2: Trigonometric Functions: The Unit Circle
Full solutions for Precalculus with Limits  3rd Edition
ISBN: 9781133947202
Solutions for Chapter 4.2: Trigonometric Functions: The Unit Circle
Get Full SolutionsChapter 4.2: Trigonometric Functions: The Unit Circle includes 62 full stepbystep solutions. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. This expansive textbook survival guide covers the following chapters and their solutions. Since 62 problems in chapter 4.2: Trigonometric Functions: The Unit Circle have been answered, more than 35805 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3.

Addition property of equality
If u = v and w = z , then u + w = v + z

Anchor
See Mathematical induction.

Angular speed
Speed of rotation, typically measured in radians or revolutions per unit time

Binomial
A polynomial with exactly two terms

Complex plane
A coordinate plane used to represent the complex numbers. The xaxis of the complex plane is called the real axis and the yaxis is the imaginary axis

Constraints
See Linear programming problem.

Deductive reasoning
The process of utilizing general information to prove a specific hypothesis

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

Empty set
A set with no elements

Equivalent arrows
Arrows that have the same magnitude and direction.

Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.

Graph of a polar equation
The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

Intermediate Value Theorem
If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

Multiplication principle of counting
A principle used to find the number of ways an event can occur.

Positive linear correlation
See Linear correlation.

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

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

Solve graphically
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

Symmetric property of equality
If a = b, then b = a

Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.