Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN: 9781305652224
Author: Charles P. McKeague, Mark D. Turner
Publisher: Cengage Learning
bartleby

Concept explainers

Fundamentals of Trigonometric Identities
Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.
bartleby

Videos

Textbook Question
Book Icon
Chapter 5.3, Problem 16PS

Let tan θ = 3 with θ in QI and find the following.

cos 2 θ

Expert Solution & Answer
Check Mark
bartleby

Trending nowThis is a popular solution!

See solution
Check out sample textbook solution
Blurred answer
Previous
Chapter 5.3, Problem 15PS
Next
Chapter 5.3, Problem 17PS

Chapter 5 Solutions

Trigonometry (MindTap Course List)

Ch. 5.1 - An identity is a Statement that two expressions...Ch. 5.1 - To prove, or verify, an identity, we start with of...Ch. 5.1 - To prove an identity, it is usually best to start...Ch. 5.1 - If nothing else to mind, try changing everything...Ch. 5.1 - To investigate if an equation is an identity,...Ch. 5.1 - To prove that an equation is not an identity, find...Ch. 5.1 - Factor each expression completely. x2xy sin2sincosCh. 5.1 - Prob. 8PSCh. 5.1 - Prob. 9PSCh. 5.1 - Prob. 10PS
Ch. 5.1 - Multiply the numerator and denominator of the...Ch. 5.1 - Prob. 12PSCh. 5.1 - Prob. 13PSCh. 5.1 - Multiply the numerator and denominator of the...Ch. 5.1 - Prob. 15PSCh. 5.1 - Prob. 16PSCh. 5.1 - Prob. 17PSCh. 5.1 - Prob. 18PSCh. 5.1 - Prove that each of the following identities is...Ch. 5.1 - Prob. 20PSCh. 5.1 - Prob. 21PSCh. 5.1 - Prob. 22PSCh. 5.1 - Prob. 23PSCh. 5.1 - Prob. 24PSCh. 5.1 - Prob. 25PSCh. 5.1 - Prob. 26PSCh. 5.1 - Prob. 27PSCh. 5.1 - Prob. 28PSCh. 5.1 - Prob. 29PSCh. 5.1 - Prob. 30PSCh. 5.1 - Prob. 31PSCh. 5.1 - Prob. 32PSCh. 5.1 - Prob. 33PSCh. 5.1 - Prob. 34PSCh. 5.1 - Prob. 35PSCh. 5.1 - Prob. 36PSCh. 5.1 - Prove that each of the following identities is...Ch. 5.1 - Prob. 38PSCh. 5.1 - Prove that each of the following identities is...Ch. 5.1 - Prob. 40PSCh. 5.1 - Prob. 41PSCh. 5.1 - Prove that each of the following identities is...Ch. 5.1 - Prob. 43PSCh. 5.1 - Prob. 44PSCh. 5.1 - Prob. 45PSCh. 5.1 - Prob. 46PSCh. 5.1 - Prove that each of the following identities is...Ch. 5.1 - Prob. 48PSCh. 5.1 - Prob. 49PSCh. 5.1 - Prob. 50PSCh. 5.1 - Prob. 51PSCh. 5.1 - Prob. 52PSCh. 5.1 - Prove that each of the following identities is...Ch. 5.1 - Prob. 54PSCh. 5.1 - Prob. 55PSCh. 5.1 - Prob. 56PSCh. 5.1 - Prob. 57PSCh. 5.1 - Prob. 58PSCh. 5.1 - Prob. 59PSCh. 5.1 - Prove that each of the following identities is...Ch. 5.1 - Prove that each of the following identities is...Ch. 5.1 - Prob. 62PSCh. 5.1 - Prob. 63PSCh. 5.1 - Prob. 64PSCh. 5.1 - Prob. 65PSCh. 5.1 - Prove that each of the following identities is...Ch. 5.1 - Prove that each of the following identities is...Ch. 5.1 - Prob. 68PSCh. 5.1 - Prob. 69PSCh. 5.1 - Prob. 70PSCh. 5.1 - Prob. 71PSCh. 5.1 - Prove that each of the following statements is not...Ch. 5.1 - Prove that each of the following statements is not...Ch. 5.1 - Prob. 74PSCh. 5.1 - Prob. 75PSCh. 5.1 - Prob. 76PSCh. 5.1 - Use your graphing calculator to determine if each...Ch. 5.1 - Prob. 78PSCh. 5.1 - Prob. 79PSCh. 5.1 - Prob. 80PSCh. 5.1 - Prob. 81PSCh. 5.1 - Prob. 82PSCh. 5.1 - Prob. 83PSCh. 5.1 - Prob. 84PSCh. 5.1 - Prob. 85PSCh. 5.1 - Prob. 86PSCh. 5.1 - Prob. 87PSCh. 5.1 - Prob. 88PSCh. 5.1 - The problems that follow review material we...Ch. 5.1 - The problems that follow review material we...Ch. 5.1 - Prob. 91PSCh. 5.1 - Prob. 92PSCh. 5.1 - Prob. 93PSCh. 5.1 - Prob. 94PSCh. 5.1 - Prob. 95PSCh. 5.1 - Prob. 96PSCh. 5.1 - Prob. 97PSCh. 5.1 - Prob. 98PSCh. 5.1 - Prob. 99PSCh. 5.1 - Prob. 100PSCh. 5.1 - Prob. 101PSCh. 5.2 - For question 1 through 6, complete each sum or...Ch. 5.2 - For question 1 through 6, complete each sum or...Ch. 5.2 - For question 1 through 6, complete each sum or...Ch. 5.2 - Prob. 4PSCh. 5.2 - Prob. 5PSCh. 5.2 - Prob. 6PSCh. 5.2 - Prob. 7PSCh. 5.2 - Prob. 8PSCh. 5.2 - Prob. 9PSCh. 5.2 - Find exact values for each of the following. cos15Ch. 5.2 - Prob. 11PSCh. 5.2 - Find exact values for each of the following. tan75Ch. 5.2 - Prob. 13PSCh. 5.2 - Prob. 14PSCh. 5.2 - Find exact values for each of the following....Ch. 5.2 - Prob. 16PSCh. 5.2 - Prob. 17PSCh. 5.2 - Prob. 18PSCh. 5.2 - Prob. 19PSCh. 5.2 - Show that each of the following is true....Ch. 5.2 - Prob. 21PSCh. 5.2 - Prob. 22PSCh. 5.2 - Show that each of the following is true....Ch. 5.2 - Prob. 24PSCh. 5.2 - Prob. 25PSCh. 5.2 - Prob. 26PSCh. 5.2 - Prob. 27PSCh. 5.2 - Prob. 28PSCh. 5.2 - Prob. 29PSCh. 5.2 - Prob. 30PSCh. 5.2 - Prob. 31PSCh. 5.2 - Prob. 32PSCh. 5.2 - Write each expression as a single trignometric...Ch. 5.2 - Write each expression as a single trignometric...Ch. 5.2 - Prob. 35PSCh. 5.2 - Prob. 36PSCh. 5.2 - Prob. 37PSCh. 5.2 - Prob. 38PSCh. 5.2 - Prob. 39PSCh. 5.2 - Prob. 40PSCh. 5.2 - Prob. 41PSCh. 5.2 - Prob. 42PSCh. 5.2 - Graph each of the following from x=0 to x=2. Let...Ch. 5.2 - Graph each of the following from x=0 to x=2. Let...Ch. 5.2 - Prob. 45PSCh. 5.2 - Prob. 46PSCh. 5.2 - Prob. 47PSCh. 5.2 - Prob. 48PSCh. 5.2 - Prob. 49PSCh. 5.2 - Graph each of the following from x=0 to x=2. Write...Ch. 5.2 - Prob. 51PSCh. 5.2 - Prob. 52PSCh. 5.2 - Prove each identity. cos(x90)cos(x+90)=2sinxCh. 5.2 - Prob. 54PSCh. 5.2 - Prob. 55PSCh. 5.2 - Prob. 56PSCh. 5.2 - Prob. 57PSCh. 5.2 - Prob. 58PSCh. 5.2 - Prob. 59PSCh. 5.2 - Prob. 60PSCh. 5.2 - Prove each identity. sin(A+B)+sin(AB)=2sinAcosBCh. 5.2 - Prob. 62PSCh. 5.2 - Prob. 63PSCh. 5.2 - Prob. 64PSCh. 5.2 - Prob. 65PSCh. 5.2 - Prob. 66PSCh. 5.2 - Prob. 67PSCh. 5.2 - Prob. 68PSCh. 5.2 - Prob. 69PSCh. 5.2 - Prob. 70PSCh. 5.2 - Prob. 71PSCh. 5.2 - Prob. 72PSCh. 5.2 - Prob. 73PSCh. 5.2 - Prob. 74PSCh. 5.2 - Prob. 75PSCh. 5.2 - Prob. 76PSCh. 5.2 - Prob. 77PSCh. 5.2 - Prob. 78PSCh. 5.2 - Prob. 79PSCh. 5.2 - Prob. 80PSCh. 5.2 - Prob. 81PSCh. 5.2 - Prob. 82PSCh. 5.2 - Prob. 83PSCh. 5.3 - For Questions 1 through 3, complete each...Ch. 5.3 - Prob. 2PSCh. 5.3 - Prob. 3PSCh. 5.3 - Prob. 4PSCh. 5.3 - Prob. 5PSCh. 5.3 - Prob. 6PSCh. 5.3 - Let A=35 with A in QIII and find the following....Ch. 5.3 - Prob. 8PSCh. 5.3 - Let A=35 with A in QIII and find the following....Ch. 5.3 - Let A=35 with A in QIII and find the following....Ch. 5.3 - Let cosx=34 with x in QIV and find the following....Ch. 5.3 - Let cosx=34 with x in QIV and find the following....Ch. 5.3 - Let cosx=34 with x in QIV and find the following....Ch. 5.3 - Prob. 14PSCh. 5.3 - Let tan=3 with in QI and find the following. sin2Ch. 5.3 - Let tan=3 with in QI and find the following. cos2Ch. 5.3 - Let tan=3 with in QI and find the following. sec2Ch. 5.3 - Prob. 18PSCh. 5.3 - Prob. 19PSCh. 5.3 - Prob. 20PSCh. 5.3 - Let csc=5 with t in QII and find the following....Ch. 5.3 - Let csc=5 with t in QII and find the following....Ch. 5.3 - Prob. 23PSCh. 5.3 - Prob. 24PSCh. 5.3 - Graph each of the following from x=0 to x=2....Ch. 5.3 - Prob. 26PSCh. 5.3 - Prob. 27PSCh. 5.3 - Prob. 28PSCh. 5.3 - Prob. 29PSCh. 5.3 - Prob. 30PSCh. 5.3 - Use exact values to show that each of the...Ch. 5.3 - Prob. 32PSCh. 5.3 - Prob. 33PSCh. 5.3 - Use exact values to show that each of the...Ch. 5.3 - Simplify each of the following. 2sin15cos15Ch. 5.3 - Simplify each of the following. cos2165sin2165Ch. 5.3 - Simplify each of the following. 12sin275Ch. 5.3 - Prob. 38PSCh. 5.3 - Simplify each of the following. sin12cos12Ch. 5.3 - Prob. 40PSCh. 5.3 - Simplify each of the following. tan22.51tan222.5Ch. 5.3 - Simplify each of the following. tan112.51tan2112.5Ch. 5.3 - Prob. 43PSCh. 5.3 - Prob. 44PSCh. 5.3 - Prob. 45PSCh. 5.3 - Prob. 46PSCh. 5.3 - Prove each of the following identities....Ch. 5.3 - Prove each of the following identities....Ch. 5.3 - Prob. 49PSCh. 5.3 - Prove each of the following identities....Ch. 5.3 - Prove each of the following identities....Ch. 5.3 - Prob. 52PSCh. 5.3 - Prove each of the following identities....Ch. 5.3 - Prob. 54PSCh. 5.3 - Prob. 55PSCh. 5.3 - Prove each of the following identities....Ch. 5.3 - Prob. 57PSCh. 5.3 - Prove each of the following identities....Ch. 5.3 - Prob. 59PSCh. 5.3 - Prob. 60PSCh. 5.3 - Prob. 61PSCh. 5.3 - Prob. 62PSCh. 5.3 - Prob. 63PSCh. 5.3 - Prob. 64PSCh. 5.3 - Use your graphing calculator to determine if each...Ch. 5.3 - Prob. 66PSCh. 5.3 - Prob. 67PSCh. 5.3 - Prob. 68PSCh. 5.3 - Prob. 69PSCh. 5.3 - Prob. 70PSCh. 5.3 - Prob. 71PSCh. 5.3 - Prob. 72PSCh. 5.3 - Prob. 73PSCh. 5.3 - Prob. 74PSCh. 5.3 - Prob. 75PSCh. 5.3 - Prob. 76PSCh. 5.3 - Prob. 77PSCh. 5.3 - Prob. 78PSCh. 5.4 - For Questions 1 and 2, fill in the blank with an...Ch. 5.4 - Prob. 2PSCh. 5.4 - For Questions 3 through 5, complete each...Ch. 5.4 - Prob. 4PSCh. 5.4 - Prob. 5PSCh. 5.4 - For Questions 6 through 8, determine if the...Ch. 5.4 - Prob. 7PSCh. 5.4 - Prob. 8PSCh. 5.4 - If 0A90, then A/2 terminates in which quadrant?Ch. 5.4 - If 90A180, then A/2 terminates in which quadrant?Ch. 5.4 - If 180A270, then A/2 terminates in which quadrant?Ch. 5.4 - Prob. 12PSCh. 5.4 - If 270A360, then is cos(A/2) positive or negative?Ch. 5.4 - If 180A270, then is sin(A/2) positive or negative?Ch. 5.4 - True or false: If sinA is positive, then sin(A/2)...Ch. 5.4 - True or false: If cosA is negative, then cos(A/2)...Ch. 5.4 - Prob. 17PSCh. 5.4 - Prob. 18PSCh. 5.4 - Prob. 19PSCh. 5.4 - Use half-angle formulas to find the exact values...Ch. 5.4 - Use half-angle formulas to find the exact values...Ch. 5.4 - Prob. 22PSCh. 5.4 - Prob. 23PSCh. 5.4 - NOTE For the following problems, assume that all...Ch. 5.4 - Prob. 25PSCh. 5.4 - Prob. 26PSCh. 5.4 - If sinA=513 with A in QII, find the following....Ch. 5.4 - Prob. 28PSCh. 5.4 - If sinA=513 with A in QII, find the following....Ch. 5.4 - If sinA=513 with A in QII, find the following....Ch. 5.4 - If sinB=13 in QIII, find the following. sinB2Ch. 5.4 - If sinB=13 in QIII, find the following. cscB2Ch. 5.4 - If sinB=13 in QIII, find the following. cosB2Ch. 5.4 - Prob. 34PSCh. 5.4 - If sinB=13 in QIII, find the following. cotB2Ch. 5.4 - If sinB=13 in QIII, find the following. tanB2Ch. 5.4 - If sinA=45 with A in QII, and sinB=35 with B in...Ch. 5.4 - If sinA=45 with A in QII, and sinB=35 with B in...Ch. 5.4 - If sinA=45 with A in QII, and sinB=35 with B in...Ch. 5.4 - If sinA=45 with A in QII, and sinB=35 with B in...Ch. 5.4 - Graph each of the following from x=0 to x=4....Ch. 5.4 - Prob. 42PSCh. 5.4 - Prob. 43PSCh. 5.4 - Prob. 44PSCh. 5.4 - Prob. 45PSCh. 5.4 - Prove the following identities. 2cos22=sin21cosCh. 5.4 - Prob. 47PSCh. 5.4 - Prove the following identities. csc2A2=2secAsecA1Ch. 5.4 - Prob. 49PSCh. 5.4 - Prove the following identities....Ch. 5.4 - Prove the following identities. tanx2+cotx2=2cscxCh. 5.4 - Prob. 52PSCh. 5.4 - Prob. 53PSCh. 5.4 - Prob. 54PSCh. 5.4 - Prob. 55PSCh. 5.4 - Prob. 56PSCh. 5.4 - Prob. 57PSCh. 5.4 - Prob. 58PSCh. 5.4 - Prob. 59PSCh. 5.4 - The following problems review material we covered...Ch. 5.4 - Prob. 61PSCh. 5.4 - Prob. 62PSCh. 5.4 - Prob. 63PSCh. 5.4 - Prob. 64PSCh. 5.4 - Prob. 65PSCh. 5.4 - Prob. 66PSCh. 5.4 - Prob. 67PSCh. 5.4 - Prob. 68PSCh. 5.4 - Prob. 69PSCh. 5.5 - For Questions 1 and 2, fill in the blank with an...Ch. 5.5 - Prob. 2PSCh. 5.5 - Prob. 3PSCh. 5.5 - Prob. 4PSCh. 5.5 - Prob. 5PSCh. 5.5 - Prob. 6PSCh. 5.5 - Prob. 7PSCh. 5.5 - Evaluate each expression Without using a...Ch. 5.5 - Evaluate each expression Without using a...Ch. 5.5 - Prob. 10PSCh. 5.5 - Prob. 11PSCh. 5.5 - Evaluate each expression Without using a...Ch. 5.5 - Prob. 13PSCh. 5.5 - Prob. 14PSCh. 5.5 - Prob. 15PSCh. 5.5 - Prob. 16PSCh. 5.5 - Prob. 17PSCh. 5.5 - Write each expression as an equivalent algebric...Ch. 5.5 - Prob. 19PSCh. 5.5 - Prob. 20PSCh. 5.5 - Prob. 21PSCh. 5.5 - Write each expression as an equivalent algebric...Ch. 5.5 - Prob. 23PSCh. 5.5 - Prob. 24PSCh. 5.5 - Prob. 25PSCh. 5.5 - Prob. 26PSCh. 5.5 - Rewrite each expression as a sum or difference,...Ch. 5.5 - Prob. 28PSCh. 5.5 - Rewrite each expression as a sum or difference,...Ch. 5.5 - Rewrite each expression as a sum or difference,...Ch. 5.5 - Rewrite each expression as a sum or difference,...Ch. 5.5 - Prob. 32PSCh. 5.5 - Rewrite each expression as a sum or difference,...Ch. 5.5 - Rewrite each expression as a sum or difference,...Ch. 5.5 - Prob. 35PSCh. 5.5 - Prob. 36PSCh. 5.5 - Prob. 37PSCh. 5.5 - Prob. 38PSCh. 5.5 - Rewrite each expression as a sum or difference,...Ch. 5.5 - Prob. 40PSCh. 5.5 - Prob. 41PSCh. 5.5 - Prob. 42PSCh. 5.5 - Prob. 43PSCh. 5.5 - Prob. 44PSCh. 5.5 - Prob. 45PSCh. 5.5 - Prob. 46PSCh. 5.5 - Verify each identity. tan4x=sin5x+sin3xcos3x+cos5xCh. 5.5 - Prob. 48PSCh. 5.5 - Prob. 49PSCh. 5.5 - Prob. 50PSCh. 5.5 - Prob. 51PSCh. 5.5 - Prob. 52PSCh. 5.5 - Prob. 53PSCh. 5.5 - Prob. 54PSCh. 5.5 - Prob. 55PSCh. 5.5 - Prob. 56PSCh. 5.5 - Prob. 57PSCh. 5.5 - Prob. 58PSCh. 5 - Prove each identity. cotcsc=cosCh. 5 - Prob. 2CTCh. 5 - Prove each identity. seccos=tansinCh. 5 - Prob. 4CTCh. 5 - Prob. 5CTCh. 5 - Prob. 6CTCh. 5 - Prob. 7CTCh. 5 - Prob. 8CTCh. 5 - Prob. 9CTCh. 5 - Prob. 10CTCh. 5 - Prob. 11CTCh. 5 - Prob. 12CTCh. 5 - Let sinA=35 with 270A360 and cosB=817 with 90B180...Ch. 5 - Let sinA=35 with 270A360 and cosB=817 with 90B180...Ch. 5 - Prob. 15CTCh. 5 - Let sinA=35 with 270A360 and cosB=817 with 90B180...Ch. 5 - Prob. 17CTCh. 5 - Prob. 18CTCh. 5 - Prob. 19CTCh. 5 - Prob. 20CTCh. 5 - Prob. 21CTCh. 5 - Prob. 22CTCh. 5 - Prob. 23CTCh. 5 - Prob. 24CTCh. 5 - Prob. 25CTCh. 5 - Prob. 26CTCh. 5 - Prob. 27CTCh. 5 - Prob. 28CTCh. 5 - Prob. 29CTCh. 5 - Prob. 30CTCh. 5 - Prob. 1GPCh. 5 - Prob. 2GPCh. 5 - Prob. 3GPCh. 5 - Prob. 4GPCh. 5 - Prob. 5GPCh. 5 - Prob. 1RP
Knowledge Booster
Background pattern image
Trigonometry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Cengage Learning
Text book image
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Text book image
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Text book image
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Text book image
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
SEE MORE TEXTBOOKS
Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities; Author: Mathispower4u;https://www.youtube.com/watch?v=OmJ5fxyXrfg;License: Standard YouTube License, CC-BY