R Review Of Prerequisites 1 Functions And Relations 2 Polynomial And Rational Functions 3 Exponential And Logarithmic Functions 4 Trigonometric Functions 5 Analytic Trigonometry 6 Applications Of Trigonometric Functions 7 Trigonometry Applied To Polar Coordinate Systems And Vectors 8 Systems Of Equations And Inequalities 9 Matrices And Determinants And Applications 10 Analytic Geometry 11 Sequences, Series, Induction, And Probability expand_more
5.1 Fundamental Trigonometric Identities 5.2 Sum And Difference Formulas 5.3 Double-angle, Power-reducing, And Half-angle Formulas 5.4 Product-to-sum And Sum-to-product Formulas 5.5 Trigonometric Equations Chapter Questions expand_more
Problem 1SP: Find the exact values. a. sin195 b. cos512 Problem 2SP: Find the exact value of the expression. cos99cos36sin99sin36 Problem 3SP Problem 4SP Problem 5SP: Find the exact value of tan165 . Problem 6SP: Verify the identity. cos32=sin Problem 7SP: Verify the identity. sinx+ysinxy=2cosxsiny Problem 8SP: Write 4sinx+3cosx in the form ksinx+ . Problem 1PE Problem 2PE Problem 3PE: Fill in the boxes to complete each identity. tanu+v=1tanutanv;tanuv=tanutanv Problem 4PE Problem 5PE Problem 6PE Problem 7PE: For Exercises 7-18, use an addition or subtraction formula to find the exact value. cos165 Problem 8PE: For Exercises 7-18, use an addition or subtraction formula to find the exact value. sin512 Problem 9PE: For Exercises 7-18, use an addition or subtraction formula to find the exact value. sin12 Problem 10PE: For Exercises 7-18, use an addition or subtraction formula to find the exact value. tan1912 Problem 11PE: For Exercises 7-18, use an addition or subtraction formula to find the exact value. cos1912 Problem 12PE: For Exercises 7-18, use an addition or subtraction formula to find the exact value. sin15 Problem 13PE: For Exercises 7-18, use an addition or subtraction formula to find the exact value. tan712 Problem 14PE: For Exercises 7-18, use an addition or subtraction formula to find the exact value. cos712 Problem 15PE: For Exercises 7-18, use an addition or subtraction formula to find the exact value. sin105 Problem 16PE: For Exercises 7-18, use an addition or subtraction formula to find the exact value. tan105 Problem 17PE: For Exercises 7-18, use an addition or subtraction formula to find the exact value. tan15 Problem 18PE: For Exercises 7-18, use an addition or subtraction formula to find the exact value. cos195 Problem 19PE: For Exercises 19-26, use an addition or subtraction formula to find the exact value.... Problem 20PE: For Exercises 19-26, use an addition or subtraction formula to find the exact value.... Problem 21PE: For Exercises 19-26, use an addition or subtraction formula to find the exact value.... Problem 22PE: For Exercises 19-26, use an addition or subtraction formula to find the exact value.... Problem 23PE: For Exercises 19-26, use an addition or subtraction formula to find the exact value.... Problem 24PE: For Exercises 19-26, use an addition or subtraction formula to find the exact value.... Problem 25PE: For Exercises 19-26, use an addition or subtraction formula to find the exact value.... Problem 26PE: For Exercises 19-26, use an addition or subtraction formula to find the exact value.... Problem 27PE: For Exercises 27-32, find the exact value for the expression under the given conditions. cos+;sin=35... Problem 28PE: For Exercises 27-32, find the exact value for the expression under the given conditions. sin+;sin=38... Problem 29PE: For Exercises 27-32, find the exact value for the expression under the given conditions.... Problem 30PE Problem 31PE Problem 32PE Problem 33PE Problem 34PE Problem 35PE Problem 36PE Problem 37PE Problem 38PE: For Exercises 33-40, find the exact value. sincos11213+tan143 Problem 39PE Problem 40PE Problem 41PE Problem 42PE Problem 43PE Problem 44PE: For Exercises 41-62, verify the identity. cosx=cosx Problem 45PE Problem 46PE Problem 47PE Problem 48PE: For Exercises 41-62, verify the identity. cos(xy)cos(x+y)=2sinxsiny Problem 49PE Problem 50PE Problem 51PE Problem 52PE: For Exercises 41-62, verify the identity. cosx=4cosx4=2sinx Problem 53PE Problem 54PE Problem 55PE Problem 56PE: For Exercises 41-62, verify the identity. sinsin+=tantantan+tan Problem 57PE Problem 58PE Problem 59PE Problem 60PE Problem 61PE Problem 62PE Problem 63PE Problem 64PE: For Exercises 63-66, a. Write the given expression in the form ksinx+for02. Round to 3 decimal... Problem 65PE Problem 66PE Problem 67PE Problem 68PE Problem 69PE Problem 70PE Problem 71PE Problem 72PE: a. Is it true that cos245=2cos45 ? b. Expand cos245 as cos45+45 using the sum formula for cosine.... Problem 73PE: Derive cosu+v=cosucosvsinusinv by using the identity for cosuv and the odd and even function... Problem 74PE: Derive tanuv=tanutanv1+tanutanv by using the identity for tanu+v and the odd function identity for... Problem 75PE: Derive sinu+v=sinucosv+cosusinv Problem 76PE Problem 77PE: For fx=sinx , show that fx+hfxh=sin1coshh+cosxsinhh Problem 78PE: Forfx=cosx , show that fx+hfxh=cosx1coshhsinxsinhh Problem 79PE Problem 80PE Problem 81PE Problem 82PE Problem 83PE Problem 84PE: Describe the pattern for the expansions of cosu+v and cosuv . Problem 85PE Problem 86PE Problem 87PE Problem 88PE Problem 89PE Problem 90PE Problem 91PE Problem 92PE Problem 93PE Problem 94PE Problem 95PE Problem 96PE Problem 97PE Problem 98PE: Suppose that ABC contains no right angle. Show tanA+tanB+tanC=tanAtanBtanC . Problem 99PE: Let L be a line defined by y=mx+b with a positive slope, and let be the acute angle formed by L and... Problem 100PE Problem 101PE Problem 102PE format_list_bulleted