CramX Logo
RegisterLog in
Trigonometry, 2nd Edition Test Bank - Document preview page 1

Trigonometry, 2nd Edition Test Bank - Page 1

Document preview content for Trigonometry, 2nd Edition Test Bank

Trigonometry, 2nd Edition Test Bank

Trigonometry, 2nd Edition Test Bank makes exam preparation simple with structured and comprehensive questions.

Benjamin Clark
Contributor
4.5
83
over 1 year ago
Preview (31 of 271 Pages)
100%
Log in to unlock
Page 1 of 31
Trigonometry, 2nd Edition Test Bank - Page 1 preview imageCh. 1Angles and the Trigonometric Functions1.1Angles and Radian Measure1Recognize and Use the Vocabulary of AnglesMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.The given angle is in standard position. Determine the quadrant in which the angle lies.1)-347°A) Quadrant IB) Quadrant IIC) Quadrant IIID) Quadrant IV2)-185°A) Quadrant IIB) Quadrant IC) Quadrant IIID) Quadrant IV3) 203°A) Quadrant IIIB) Quadrant IC) Quadrant IID) Quadrant IV4)-12°A) Quadrant IVB) Quadrant IC) Quadrant IID) Quadrant III2Use Degree MeasureMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Classify the angle as acute, right, obtuse, or straight.1) 36°A) acuteB) obtuseC) straightD) right2) 134°A) obtuseB) rightC) straightD) acute3) 5.54°A) acuteB) rightC) obtuseD) straight4) 107.621°A) obtuseB) acuteC) rightD) straight5)π2A) rightB) straightC) obtuseD) acute6)π6A) acuteB) rightC) obtuseD) straight7) 3π5A) obtuseB) straightC) acuteD) rightPage 1
Page 2 of 31
Trigonometry, 2nd Edition Test Bank - Page 2 preview image
Page 3 of 31
Trigonometry, 2nd Edition Test Bank - Page 3 preview image3Use Radian MeasureMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.1) r=3 inches, s=21 inchesA) 7 radiansB) 17 radiansC)-7 radiansD) 7°2) r=13 feet, s=7 feetA) 21 radiansB) 73 radiansC) 21°D) 73°3) r=1.5 meters, s=2.25 metersA) 1.5 radiansB) 0.67 radiansC) 1.4 radiansD) 0.75 radians4) r=1 meter, s=400 centimetersA) 4 radiansB)1400 radiansC) 400 radiansD) 40 radians4Convert Between Degrees and RadiansMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Convert the angle in degrees to radians. Express answer as a multiple ofπ.1) 36°A)π5 radiansB)π6 radiansC)π7 radiansD)π4 radians2)-90°A)-π2 radiansB)-π3 radiansC)-π4 radiansD)-π8 radians3) 105°A) 7π12 radiansB) 8π13 radiansC) 6π11 radiansD) 12πradians4)-54°A)-3π10 radiansB)-4π11 radiansC)-2π9radiansD)-15πradiansConvert the angle in radians to degrees.5)π4A) 45°B) 1°C)π4 °D) 45π°6)-π2A)-90°B)-2°C)-π2 °D)-90π°Page 2
Page 4 of 31
Trigonometry, 2nd Edition Test Bank - Page 4 preview image7) 112πA) 990°B) 1980°C) 164°D) 33π°8)-4718πA)-470°B)-940π°C)-8°D)-235°Convert the angle in degrees to radians. Round to two decimal places.9) 254°A) 4.43 radiansB) 4.42 radiansC) 4.41 radiansD) 4.4 radians10)-73°A)-1.27 radiansB)-1.26 radiansC)-1.25 radiansD)-1.24 radiansConvert the angle in radians to degrees. Round to two decimal places.11) 43πradiansA) 240°B) 241°C) 242°D) 239°12) 2 radiansA) 114.59°B) 113.4°C) 0.03°D)-0.13°13)-7.81 radiansA)-447.48°B)-446.59°C)-0.14°D)-0.08°5Draw Angles in Standard PositionMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Draw the angle in standard position.1) 2π3A)B)C)D)Page 3
Page 5 of 31
Trigonometry, 2nd Edition Test Bank - Page 5 preview image2) 7π4A)B)C)D)Page 4
Page 6 of 31
Trigonometry, 2nd Edition Test Bank - Page 6 preview image3) 13π6A)B)C)D)4)-3π4A)B)C)D)Page 5
Page 7 of 31
Trigonometry, 2nd Edition Test Bank - Page 7 preview image5)-7π6A)B)C)D)6) 60°A)B)C)D)Page 6
Page 8 of 31
Trigonometry, 2nd Edition Test Bank - Page 8 preview image7)-150°A)B)C)D)8) 330°A)B)C)D)Page 7
Page 9 of 31
Trigonometry, 2nd Edition Test Bank - Page 9 preview image9)-120°A)B)C)D)10) 405°A)B)C)D)6Find Coterminal AnglesMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Find a positive angle less than 360° or 2πthat is coterminal with the given angle.1)-17°A) 343°B) 163°C) 523°D) 17°Page 8
Page 10 of 31
Trigonometry, 2nd Edition Test Bank - Page 10 preview image2) 512°A) 152°B) 332°C) 256°D) 142°3)-1169°A) 271°B) 809°C) 89°D) 91°4) 11π5A)π5B) 6π5C)-π5D) 4π55) 16π5A) 6π5B)-16π5C) 11π5D) 4π56)-13π9A) 5π9B) 23π9C) 14π9D) 13π97Find the Length of a Circular ArcMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Find the length of the arc on a circle of radius r intercepted by a central angleθ. Round answer to two decimalplaces.1) r=4 centimeters,θ=55°A) 3.84 centimetersB) 4.22 centimetersC) 3.46 centimetersD) 3.07 centimeters2) r=50 inches,θ=45°A) 39.27 inchesB) 41.7 inchesC) 40.56 inchesD) 37.42 inches3) r=12.40 inches,θ=30°A) 6.49 inchesB) 6.59 inchesC) 6.69 inchesD) 6.79 inchesSolve the problem.4) The minute hand of a clock is 7 inches long. How far does the tip of the minute hand move in 50 minutes?If necessary, round the answer to two decimal places.A) 36.65 inchesB) 39.16 inchesC) 37.88 inchesD) 34.91 inches5) A pendulum swings through an angle of 20° each second. If the pendulum is 35 inches long, how far doesits tip move each second? If necessary, round the answer to two decimal places.A) 12.22 inchesB) 14.65 inchesC) 13.51 inchesD) 10.37 inches6) A car wheel has a 16-inch radius. Through what angle (to the nearest tenth of a degree) does the wheelturn when the car rolls forward 5 ft?A) 214.9°B) 219.9°C) 224.9°D) 229.9°Page 9
Page 11 of 31
Trigonometry, 2nd Edition Test Bank - Page 11 preview image7) A wheel with a 40-inch radius is marked at two points on the rim. The distance between the marks alongthe wheel is found to be 12 inches. What is the angle (to the nearest tenth of a degree) between the radii tothe two marks?A) 17.2°B) 19.2°C) 15.2°D) 13.2°8Find the Area of a SectorMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Find the area of the sector of a circle of radius r formed by a central angleθ. Express area in terms ofπ. Then roundto two decimal places.1) r=6 m,θ=120°A) 12π≈37.70 sq mB) 24π≈75.40 sq mC) 2π≈6.28 sq mD) 2160π≈6785.84 sq mFind the measure of the central angle on a circle of radius r that forms a sector with the given area, A.2) r=7 feet, A=49 square feetA) 2 radiansB) 14 radiansC) 3 radiansD) 1 radianSolve the problem.3) A lawn sprinkler rotates through an angle of 105° and projects water over a distance of 60 feet. What is thearea of the lawn watered by the sprinkler? Express the answer in terms ofπand then round to twodecimal places.A) 1050π≈3298.67sq ftB) 525π≈1649.34 sq ftC) 1470π≈4618.14 sq ftD) 2100π≈6597.34 sq ft9Use Linear and Angular Speed to Describe Motion on a Circular PathMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Express the angular speed in radians per second.1) 420 revolutions per secondA) 840πradians per secondB) 840 radians per secondC) 420πradians per secondD) 420 radians per secondSolve the problem.2) A gear with a radius of 32 centimeters is turning atπ9 radians per sec. What is the linear speed at a pointon the outer edge of the gear?A) 32π9centimeters per secondB) 9π32 centimeters per secondC) 288πcentimeters per secondD)π288 centimeters per second3) A car is traveling at 34 mph. If its tires have a diameter of 25 inches, how fast are the car's tires turning?Express the answer in revolutions per minute. If necessary, round to two decimal places.A) 457.14 revolutions per minuteB) 2872.32 revolutions per minuteC) 439.14 revolutions per minuteD) 914.29 revolutions per minutePage 10
Page 12 of 31
Trigonometry, 2nd Edition Test Bank - Page 12 preview image4) To approximate the speed of a river, a circular paddle wheel with radius 0.65 feet is lowered into thewater. If the current causes the wheel to rotate at a speed of 12 revolutions per minute, what is the speed ofthe current? Express the answer in miles per hour rounded to two decimal places, if necessary.A) 0.56 miles per hourB) 0.09 miles per hourC) 49.01 miles per hourD) 0.28 miles per hour5) A pick-up truck is fitted with new tires which have a diameter of 41 inches. How fast will the pick-uptruck be moving when the wheels are rotating at 335 revolutions per minute? Express the answer in milesper hour rounded to the nearest whole number.A) 41 miles per hourB) 7 miles per hourC) 50 miles per hourD) 20 miles per hour6) A carousel has a radius of 17 feet and takes 25 seconds to make one complete revolution. What is the linearspeed of the carousel at its outside edge? Express the answer in feet per second. If necessary, round theanswer to two decimal places.A) 4.27 feet per secondB) 0.68 feet per secondC) 9.24 feet per secondD) 106.81 feet per second1.2Right Triangle Trigonometry1Use Right Triangles to Evaluate Trigonometric FunctionsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Use the Pythagorean Theorem to find the length of the missing side.Then find the indicated trigonometric functionof the given angle. Give an exact answer with a rational denominator.1) Find sinθ.85A) 88989B) 58989C)898D)8952) Find cscθ.910A)18110B)1819C) 10181181D) 9181181Page 11
Page 13 of 31
Trigonometry, 2nd Edition Test Bank - Page 13 preview image3) Find cosθ.74A) 46565B)657C)654D) 765654) Find secθ.107A)14910B) 10149149C) 101497D) 71491495) Find tanθ.79A) 79B) 97C)1309D)13076) Find cotθ.92A) 29B) 28585C) 92D) 98585Page 12
Page 14 of 31
Trigonometry, 2nd Edition Test Bank - Page 14 preview image7) Find sinθ.109A)910B) 101919C) 91919D)19102Find Function Values for 30°(π/6), 45°(π/4), and 60°(π/3)MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Use the given triangles to evaluate the expression. Rationalize all denominators.1) csc 30°A) 2B) 233C) 12D)22) sec 60°A) 2B) 233C)32D)23) cos 45°A)22B)2C)32D) 124) sinπ6A) 12B)32C)33D)225) cotπ3A)33B)3C) 12D) 1Page 13
Page 15 of 31
Trigonometry, 2nd Edition Test Bank - Page 15 preview image6) cotπ4A) 1B) 233C)22D)27) tan 45°-sin 60°A) 2-32B) 23-326C) 2-22D)-368) cot 60°-cos 45°A) 23-326B) 2-22C) 2-32D) 22-3369) tanπ6-sinπ3A)-36B)3C)-62D) 23-3263Recognize and Use Fundamental IdentitiesMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.θis an acute angle and sinθand cosθare given. Use identities to find the indicated value.1) sinθ=57 , cosθ=267.Find cscθ.A) 75B) 7612C) 265D) 56122) sinθ=57 , cosθ=267.Find tanθ.A) 5612B) 7612C) 565D) 753) sinθ=74 , cosθ=34 .Find secθ.A) 43B) 477C) 377D)734) sinθ=-53 , cosθ=23 .Find cotθ.A)-255B)-355C) 32D)52θis an acute angle and sinθis given. Use the Pythagorean identity sin2θ+cos2θ=1 to find cosθ.5) sinθ=53A) 23B)52C) 32D) 355Page 14
Page 16 of 31
Trigonometry, 2nd Edition Test Bank - Page 16 preview imageUse an identity to find the value of the expression. Do not use a calculator.6) sin2 70°+cos2 70°A) 1B) 0C) 0.70D) 0.497) sec2 55°-tan2 55°A) 1B) 0C) 0.55D) 0.308) sin 55° csc 55°A) 1B) 0C) 55D)-19) tan 20°-sin 20°cos 20°A) 0B) 1C) 20D) Undefined10) sin 14° csc 14°A) 1B) 0C) 14D) sin2 14°11) cos 46° sec 46°A) 1B) 0C) 46D) cos2 46°4Use Equal Cofunctions of ComplementsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Find a cofunction with the same value as the given expression.1) sin 67°A) cos 23°B) cos 67°C) tan 23°D) cot 23°2) cos 14°A) sin 76°B) sin 14°C) sec 14°D) csc 76°3) tan 75°A) cot 15°B) cot 75°C) sec 75°D) cot 165°4) csc 5°A) sec 85°B) sec 5°C) sin 5°D) sec 95°5) sinπ10A) cos 2π5B) sin 2π5C) cosπ10D) sinπ106) cosπ11A) sin 9π22B) cos 9π22C) cosπ11D) sinπ117) tanπ14A) cot 3π7B) tan 3π7C) cotπ14D) cscπ14Page 15
Page 17 of 31
Trigonometry, 2nd Edition Test Bank - Page 17 preview image8) cscπ13A) sec 11π26B) csc 11π26C) cotπ13D) cscπ135Evaluate Trigonometric Functions with a CalculatorMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.1) sin 27°A) 0.45B) 0.51C) 0.96D) 0.902) cos 17°A) 0.96B) 1.04C)-0.28D)-0.203) cos 5°A) 1.00B)-0.28C)-1.00D) 0.284) tan 72°A) 3.08B) 3.01C)-0.26D)-0.335) csc 40°A) 1.56B) 1.46C) 1.34D) 1.246) cot 0.2038A) 4.84B) 0.21C) 0.98D) 1.027) cotπ7A) 2.08B) 2.21C) 127.66D) 127.538) cos 3π5A)-0.31B)-0.20C) 1.00D) 1.119) secπ5A) 1.24B) 1.10C) 1.00D) 0.86Find the measure of the side of the right triangle whose length is designated by a lowercase letter. Round youranswer to the nearest whole number.10)a36°b=11A) a=8 cmB) a=15 cmC) a=6 cmD) a=1 cmPage 16
Page 18 of 31
Trigonometry, 2nd Edition Test Bank - Page 18 preview imageUse a calculator to find the value of the acute angleθto the nearest degree.11) tanθ=13.2894A) 86°B) 1°C) 88°D) 24°Use a calculator to find the value of the acute angleθin radians, rounded to three decimal places.12) sinθ=0.8659A) 1.047 radiansB) 59.986 radiansC) 5.999 radiansD) 0.524 radians6Use Right Triangle Trigonometry to Solve Applied ProblemsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Solve the problem.1) A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake80 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, theangle between the piling and the pier is 30°. What is the distance between the piling and the pier to thenearest foot?A) 46 feetB) 40 feetC) 69 feetD) 139 feet2) A building 150 feet tall casts a 70 foot long shadow. If a person stands at the end of the shadow and looksup to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearesthundredth of a degree)? (Assume the person's eyes are 5 feet above ground level.)A) 64.23°B) 64.98°C) 61.13°D) 28.87°3) A radio transmission tower is 120 feet tall. How long should a guy wire be if it is to be attached 11 feetfrom the top and is to make an angle of 26° with the ground? Give your answer to the nearest tenth of afoot.A) 248.6 feetB) 273.7 feetC) 121.3 feetD) 133.5 feet4) A straight trail with a uniform inclination of 16° leads from a lodge at an elevation of 500 feet to amountain lake at an elevation of 9700 feet. What is the length of the trail (to the nearest foot)?A) 33,377 feetB) 35,191 feetC) 9571 feetD) 10,091 feet5) A building 180 feet tall casts a 80 foot long shadow. If a person looks down from the top of the building,what is the measure of the angle between the end of the shadow and the vertical side of the building (tothe nearest degree)? (Assume the person's eyes are level with the top of the building.)A) 24°B) 66°C) 64°D) 26°7Additional ConceptsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Find the exact value of the expression. Do not use a calculator.1) 1+sin2 45°+sin2 45°A) 2B) 0C)-1D) 12) 1-tan2 75°+csc2 15°A) 2B) 0C)-1D) 13) cos 5°sin 85°+sin 5°cos 85°A) 1B) 0C)-1D) 2Page 17
Page 19 of 31
Trigonometry, 2nd Edition Test Bank - Page 19 preview image4) If tanθ=11, find the exact value of cotπ2-θ.A) 11B)111C) 10D) 121.3Trigonometric Functions of Any Angle1Use the Definitions of Trigonometric Functions of Any AngleMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.A point on the terminal side of angleθis given. Find the exact value of the indicated trigonometric function ofθ.1) (6, 8) Find sinθ.A) 45B) 35C) 34D) 432) (21, 28) Find cosθ.A) 35B) 45C) 34D) 433) (-20, 48) Find sinθ.A) 1213B)513C)-513D)-12134) (3, 4) Find cscθ.A) 54B) 53C) 34D) 435) (6, 8) Find tanθ.A) 43B) 34C) 35D) 456) (3,-4) Find sinθ.A)-45B) 35C) 53D)-47) (-3,-4) Find secθ.A)-53B) 54C) 43D)-358) (-13 , 12 ) Find cosθ.A)-21313B) 31313C)-133D) 1329) (-9,-4) Find cotθ.A) 94B) 49C)-910D)-25Page 18
Page 20 of 31
Trigonometry, 2nd Edition Test Bank - Page 20 preview imageEvaluate the trigonometric function at the quadrantal angle, or state that the expression is undefined.10) cscπA) undefinedB) 0C)-1D) 111) tanπ2A) undefinedB)-1C) 1D) 02Use the Signs of the Trigonometric FunctionsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Letθbe an angle in standard position. Name the quadrant in which the angleθlies.1) tanθ<0,sinθ<0A) quadrant IVB) quadrant IC) quadrant IID) quadrant IIIFind the exact value of the indicated trigonometric function ofθ.2) cosθ=49 ,tanθ<0Find sinθ.A)-659B)-654C)-94D)-653) secθ=94 ,θin quadrant IVFind tanθ.A)-654B)-659C)-94D)-654) sinθ=-89 ,tanθ>0Find secθ.A)-91717B)-179C)98D)-817175) cscθ=-92 ,θin quadrant IIIFind cotθ.A)772B)-97777C)-779D)-277776) tanθ=-25 ,θin quadrant IIFind cosθ.A)-52929B) 52929C)292D)-2957) cotθ=-74 ,cosθ<0Find cscθ.A)654B)-76565C) 76565D)-657Page 19
Page 21 of 31
Trigonometry, 2nd Edition Test Bank - Page 21 preview image8) tanθ=-158 ,90°<θ<180°Find cosθ.A)-817B)-8C)-82323D)-1523239) cosθ=2029 ,3π2<θ<2πFind cotθ.A)-2021B)-203C)-2120D) 29203Find Reference AnglesMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Find the reference angle for the given angle.1) 42°A) 42°B) 48°C) 138°D) 132°2) 129°A) 51°B) 39°C) 61°D) 49°3) 395°A) 35°B) 55°C) 145°D) 125°4)-383°A) 23°B) 67°C) 157°D) 113°5)-12°A) 12°B) 78°C) 168°D) 102°6)-240°A) 60°B) 30°C) 150°D) 120°7)-79.7°A) 79.7°B) 10.3°C) 80.2°D) 10.8°8) 13π12A)π12B) 11π12C)π24D) 13π129) 3π4A)π4B) 3π4C) 5π4D)π810)-9π8A)π8B) 7π8C) 9π8D)π16Page 20
Page 22 of 31
Trigonometry, 2nd Edition Test Bank - Page 22 preview image11)-3π4A)π4B) 3π4C) 5π4D)π812) 5.2A) 1.08B)-2.06C) 2.06D)-1.0813) 23π3A)π3B) 2π3C)-π3D) 16π314)-13π3A)π3B) 2π3C)-π3D) 7π34Use Reference Angles to Evaluate Trigonometric FunctionsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Use reference angles to find the exact value of the expression. Do not use a calculator.1) sin 4π3A)-32B)32C)-1D)-122) tan 7π6A)33B)3C)-3D)323) tan-7π4A) 1B)3C)33D)-14) csc 5π3A)-233B)-2C)-3D)-125) sec-3π4A)-2B)-233C)-2D)22Page 21
Page 23 of 31
Trigonometry, 2nd Edition Test Bank - Page 23 preview image6) cot-5π6A)3B)-3C)33D)-337) cos 3π2A) 0B) 1C)-1D) undefined8) tan-π2A)-1B) 1C) 0D) undefined9) sin 495°A)22B) 12C)-12D)-2210) tan 750°A)33B)3C)-3D)3211) csc 1020°A)-233B)-2C)-3D)-1212) cot 570°A)3B)-3C)33D)-3313) tan 34π3A)3B)-3C)33D)-3314) cot-8π3A)33B)-3C)3D)-33Page 22
Page 24 of 31
Trigonometry, 2nd Edition Test Bank - Page 24 preview image1.4Trigonometric Functions: The Unit Circle1Use a Unit Circle to Define Trigonometric Functions of Real NumbersMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.The point P(x, y) on the unit circle that corresponds to a real number t is given. Find the values of the indicatedtrigonometric function at t.1)34 ,74Find sin t.A)74B) 34C)73D) 3772)56 ,116Find tan t.A)115B) 65C)116D) 511113)398, 58Find sec t.A) 83939B) 85C)395D) 539394)-398, 58Find cos t.A)-398B) 58C)-395D)-839395)-215, 25Find cot t.A)-212B) 25C)215D)-526)-215,-25Find sin t.A)-25B)-215C)-52121D) 527)-659,-49Find cot t.A)654B)-654C)-46565D)6598)38 ,-558Find csc t.A)-85555B)-558C)553D)558Page 23
Page 25 of 31
Trigonometry, 2nd Edition Test Bank - Page 25 preview image9)34 ,-74Find cos t.A) 34B)-74C)74D)-3410)57 ,-267Find csc t.A)-7612B) 75C)-610D) 57Use the unit circle to find the value of the trigonometric function.11) tanπ6A)33B)3C)32D) 112) tanπ3A)3B)33C)32D) 213) csc 5π3A)-233B)-32C) 2D)-1214) cot 3π2A) 0B) 1C)-1D) undefined2Recognize the Domain and Range of Sine and Cosine FunctionsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Solve the problem.1) What is the domain of the sine function?A) all real numbersB) all real numbers from-1 to 1, inclusiveC) all real numbers, except odd multiples ofπ2 (90°)D) all real numbers, except integral multiples ofπ(180°)2) What is the range of the cosine function?A) all real numbers from-1 to 1, inclusiveB) all real numbersC) all real numbers greater than or equal to 1 or less than or equal to-1D) all real numbers greater than or equal to 0Page 24
Page 26 of 31
Trigonometry, 2nd Edition Test Bank - Page 26 preview image3Use Even and Odd Trigonometric FunctionsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Use even and odd properties of the trigonometric functions to find the exact value of the expression.1) sin-π6A)-12B) 12C)32D)-322) sin-π3A)-32B) 12C)-12D)323) cot-π3A)-33B)33C)3D)-34) sin-π4A)-22B)22C)32D)-325) cot-π6A)-3B)33C)3D)-336) csc-π2A)-1B) 1C) 0D) undefined7) sec (-π)A)-1B) 1C) 0D) undefined8) sin (-120°)A)-32B)-12C) 12D)32Page 25
Page 27 of 31
Trigonometry, 2nd Edition Test Bank - Page 27 preview image9) csc-π6A)-2B) 2C)-233D)23310) sec-π6A)233B) 2C)-2D)-2334Use Periodic PropertiesMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Use periodic properties of the trigonometric functions to find the exact value of the expression.1) cos 10π3A)-12B)-32C)32D) 122) sin 22π3A)-32B)32C)-1D)-123) cot 21π4A) 1B)3C)33D)-14) tan 13πA) 0B) 1C) undefinedD)-15) cos 11π2A) 0B) 1C)-1D) undefined5Solve Apps: Trigonometric FunctionsMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Solve the problem.1) The mean air temperature T, in F°, at Fairbanks, Alaska, on the nth day of the year, 1≤n≤365, isapproximated by: T=37 sin( 2π365 (n-101))+25. Find the temperature at Fairbanks on day 176, to thenearest tenth.A) 60.6° FB) 90.9° FC) 57.6° FD) 56.1° FPage 26
Page 28 of 31
Trigonometry, 2nd Edition Test Bank - Page 28 preview image2) The total sales in dollars of some small businesses fluctuates according to the equation S=A+B sinπ6 x,where x is the time in months, with x=1 corresponding to January, A=6700, and B=4000. Determine themonth with the greatest total sales and give the sales in that month.A) March; $10,700B) June; $6700C) September; $2700D) December; $10,7003) The height of the water, H, in feet, at a boat dock t hours after 7 A.M is given by E=12+1.5 cosπ60 t, wheret is time measured in seconds. Find the period.A) 120B)π120C)1120D) 120πPage 27
Page 29 of 31
Trigonometry, 2nd Edition Test Bank - Page 29 preview imageCh. 1Angles and the Trigonometric FunctionsAnswer Key1.1Angles and Radian Measure1Recognize and Use the Vocabulary of Angles1) A2) A3) A4) A2Use Degree Measure1) A2) A3) A4) A5) A6) A7) A3Use Radian Measure1) A2) A3) A4) A4Convert Between Degrees and Radians1) A2) A3) A4) A5) A6) A7) A8) A9) A10) A11) A12) A13) A5Draw Angles in Standard Position1) A2) A3) A4) A5) A6) A7) A8) A9) A10) A6Find Coterminal Angles1) A2) A3) A4) A5) APage 28
Page 30 of 31
Trigonometry, 2nd Edition Test Bank - Page 30 preview image6) A7Find the Length of a Circular Arc1) A2) A3) A4) A5) A6) A7) A8Find the Area of a Sector1) A2) A3) A9Use Linear and Angular Speed to Describe Motion on a Circular Path1) A2) A3) A4) A5) A6) A1.2Right Triangle Trigonometry1Use Right Triangles to Evaluate Trigonometric Functions1) A2) A3) A4) A5) A6) A7) A2Find Function Values for 30°(π/6), 45°(π/4), and 60°(π/3)1) A2) A3) A4) A5) A6) A7) A8) A9) A3Recognize and Use Fundamental Identities1) A2) A3) A4) A5) A6) A7) A8) A9) A10) A11) APage 29
Page 31 of 31
Trigonometry, 2nd Edition Test Bank - Page 31 preview image4Use Equal Cofunctions of Complements1) A2) A3) A4) A5) A6) A7) A8) A5Evaluate Trigonometric Functions with a Calculator1) A2) A3) A4) A5) A6) A7) A8) A9) A10) A11) A12) A6Use Right Triangle Trigonometry to Solve Applied Problems1) A2) A3) A4) A5) A7Additional Concepts1) A2) A3) A4) A1.3Trigonometric Functions of Any Angle1Use the Definitions of Trigonometric Functions of Any Angle1) A2) A3) A4) A5) A6) A7) A8) A9) A10) A11) A2Use the Signs of the Trigonometric Functions1) A2) A3) A4) A5) APage 30
Preview Mode

This document has 271 pages. Sign in to access the full document!

Study Now!

X-Copilot AI
Unlimited Access
Secure Payment
Instant Access
24/7 Support
Document Chat

Document Details

Subject
Mathematics
Textbook
Trigonometry by Robert F. Blitzer

Related Documents

View all
Textbook Guides

Solution Manual for Trigonometry, 2nd Edition

4.1
00
Quick Guides

Precalculus - Polynomial and Rational Functions

Quick Guides

Precalculus - Functions

Quick Guides

Precalculus - Exponential and Logarithmic Functions

Quick Guides

Math Word Problems - Translating Expressions

Quick Guides

Math Word Problems - Equations

Quick Guides

Algebra II – Word Problems

Quick Guides

Algebra II – Sequences and Series

Quick Guides

Algebra II - Segments Lines and Inequalities

Quick Guides

Algebra II - Relations and Functions

Trigonometry, 2nd Edition Test Bank - Exam Guides | Mathematics