R Review Of Prerequisites 1 Equations And Inequalities 2 Functions And Relations 3 Polynomial And Rational Functions 4 Exponential And Logarithmic Functions 5 Trigonometric Functions 6 Analytic Trigonometry 7 Applications Of Trigonometric Functions 8 Trigonometry Applied To Polar Coordinate Systems And Vectors 9 Systems Of Equations And Inequalities 10 Matrices And Determinants And Applications 11 Analytic Geometry 12 sequences, Series, Induction, And Probability expand_more
5.1 Angles And Their Measure 5.2 Right Triangle Trigonometry 5.3 Trigonometric Functions Of Any Angle 5.4 Trigonometric Functions Defined On The Unit Circle 5.5 Graphs Of Sine And Cosine Functions 5.6 Graphs Of Other Trigonometric Functions 5.7 Inverse Trigonometric Functions Chapter Questions expand_more
Problem R.1PE Problem R.2PE Problem R.3PE Problem R.4PE Problem R.5PE Problem R.6PE Problem 1PE Problem 2PE Problem 3PE Problem 4PE Problem 5PE Problem 6PE Problem 7PE Problem 8PE Problem 9PE Problem 10PE Problem 11PE Problem 12PE Problem 13PE: For Exercises 13—14, find the exact values of the six trigonometric functions for angle . Problem 14PE: For Exercises 13—14, find the exact values of the six trigonometric functions for angle . Problem 15PE Problem 16PE Problem 17PE: For Exercises 15—18, first use the Pythagorean theorem to find the length of the missing side. Then... Problem 18PE Problem 19PE Problem 20PE Problem 21PE Problem 22PE Problem 23PE Problem 24PE: In Exercises 23—24, given the value of one trigonometric function of an acute angle , find the... Problem 25PE: For Exercises 25—30, assume that is an acute angle. (See Example 2) 25. If csc=217 , find csc . Problem 26PE: For Exercises 25—30, assume that is an acute angle. (See Example 2) 26. If sin=1717 , find cot . Problem 27PE: For Exercises 25—30, assume that is an acute angle. (See Example 2) 27. If sec=32 , find sin . Problem 28PE: For Exercises 25—30, assume that is an acute angle. (See Example 2) 28. If csc=3 , find cos . Problem 29PE Problem 30PE Problem 31PE Problem 32PE: a. Evaluate sin60 . b. Evaluate sin30+sin30 . c. Are the values in parts (a) and (b) the same? Problem 33PE: For Exercises 33—38, find the exact value of each expression without the use of a calculator. (See... Problem 34PE: For Exercises 33—38, find the exact value of each expression without the use of a calculator. (See... Problem 35PE: For Exercises 33—38, find the exact value of each expression without the use of a calculator. (See... Problem 36PE Problem 37PE Problem 38PE: For Exercises 33—38, find the exact value of each expression without the use of a calculator. (See... Problem 39PE: For Exercises 39—40, given the values for sinandcos , use the reciprocal and quotient identities to... Problem 40PE: For Exercises 39—40, given the values for sinandcos , use the reciprocal and quotient identities to... Problem 41PE: For Exercises 41—46, use an appropriate Pythagorean identity to find the indicated value for an... Problem 42PE Problem 43PE Problem 44PE Problem 45PE: For Exercises 41—46, use an appropriate Pythagorean identity to find the indicated value for an... Problem 46PE Problem 47PE: For Exercises 47—48, derive the given identity from the Pythagorean identity, sin2+csc2=1 . 47.... Problem 48PE: For Exercises 47—48, derive the given identity from the Pythagorean identity, sin2+csc2=1 . 48.... Problem 49PE Problem 50PE Problem 51PE Problem 52PE Problem 53PE Problem 54PE Problem 55PE: For Exercises 55—60, given the function value, find a cofunction of another angle with the same... Problem 56PE: For Exercises 55—60, given the function value, find a cofunction of another angle with the same... Problem 57PE Problem 58PE Problem 59PE: For Exercises 55—60, given the function value, find a cofunction of another angle with the same... Problem 60PE Problem 61PE Problem 62PE: For Exercises 61—64, use a calculator to approximate the function values. Round to 4 decimal places.... Problem 63PE: For Exercises 61—64, use a calculator to approximate the function values. Round to 4 decimal places.... Problem 64PE Problem 65PE: An observer at the top of a 462-ft cliff measures the angle of depression from the top of a cliff to... Problem 66PE: A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7 . How high is the... Problem 67PE Problem 68PE: A backyard slide is designed for a child’s playground. If the top of the 10-ft slide makes an angle... Problem 69PE Problem 70PE Problem 71PE: According to National Football League (NFL) rules, all crossbars on goalposts must be 10 ft from the... Problem 72PE Problem 73PE: To determine the width of a river from point A to point B, a surveyor walks downriver 50 ft along a... Problem 74PE Problem 75PE Problem 76PE Problem 77PE Problem 78PE Problem 79PE Problem 80PE Problem 81PE: A scientist standing at the top of a mountain 2 mi above sea level measures the angle of depression... Problem 82PE Problem 83PE: Find the exact lengths x, y, and z. Problem 84PE Problem 85PE Problem 86PE Problem 87PE: Given that the distance from A to B is 60 ft, find the distance from B to C. Round to thenearest... Problem 88PE Problem 89PE: For the given triangle, show that a=hcotAhcotB . Problem 90PE Problem 91PE Problem 92PE Problem 93PE Problem 94PE Problem 95PE format_list_bulleted