(MAT200 -PreCalclus) Wk10 HmWrk (Chptr 6 -Trig.)

(MAT200 -PreCalclus) Wk10 HmWrk (Chptr 6 -Trig.) - Student:...

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Unformatted text preview: Student: Shanna Hawxhurst Date: 3f17109 Instructor: Christine Curley Course: 903 CURLEY C, MAT 200 004 016 Assignment: Week 10, Sections 6.1-6.6 Time: 6:49 PM Book: Strayer University Math 200: Precalculus 1. Find the six trigonometric function values of the specified angle. I 40 sm B= — (Simplify your answer 8 9 cos = — 41 (Simplify your answer tat)—fl 1‘1—9 (Simplify your answer 41 sec B= — (Simplify your answer 3. . B = csc 40 (Simplify your answer 9 tB= — CO 40 (Simplify your answer csc9= 1.2 sin 9 as .83 cos B as .55 . Type an integer or a fraction.) . Type an integer or a fraction.) . Type an integer or a fraction.) . Type an integer or a fraction.) . Type an integer or a fraction.) . Type an integer or a fraction.) tan Bra 1.51 (Round to 2 decimal places.) sec Bra 1.81 cot 9:: .66 (Round to 2 decimal places.) Page 1 40 Given a function value of an acute angle, find the other five trigonometric function values. Student: Shanna Havvxhurst Date: 3f17109 Time: 6:49 PM Instructor: Christine Curley Course: 903 CURLEY C, MAT 200 004 016 Book: Strayer University Math 200: Assignment: Week 10, Sections 6.1-6.6 Lu 4_ A baseball diamond is a square 90 ft on a side. Ifa line is drawn from third base to a runner between home plate and first base, then a right triangle QPH P h is formed where [QPH is 25°. Q Using a trigonometric fiinction, find the distance 90 fl from third base to the runner. The runner is 99.3 H feet from third base. (Round to 2 decimal places.) 5_ Convert the following angle to decimal degrees. The answer in decimal degrees is — 24.42 °. (Round to four decimal places.) — 24°25'12" (1 Convert the following angle to decimal degrees. The answer in decimal degrees is — 75.5458 °. (Round to four decimal places.) - ?5°32'45" 1 Convert the following angle to Enter the components of the converted angle. degrees-minutog-seconds. 30 ° 32 ' 2 " 30.534° - - - x » (Slmphty your answers. Type an integer or dec1mal. Round to the nearest whole number of seconds.) 8_ Convert the following angle to The answer is 22 0 42 ' 7 "I Precalculus Find the exact values of csc 60°, sec 60°, and cot 60°. 2V3— csc 60°= — 3 (Simplify your answer. Type an integer or a fraction. Type an exact answer. using radicals as needed. Rationalize any denominators.) sec 60°: 2 (Simplify your answer. Type an integer or a fraction. Type an exact answer, using radicals as needed. Rationalize any denominators.) V? cot 60°= — 3 (Simplify your answer. Type an integer or a fraction. Type an exact answer, using radicals as needed. Rationalize any denominators.) degrees—minutes—seconds. u=22.?02° Page 2 (Simplify your answers. Type an integer or a decimal. Round to the nearest whole number of seconds.) Student: Shanna Hawxhurst Date: 3(17109 Time: 6:49 PM Instructor: Christine Curley Course: 903 CURLEY C, MAT 200 004 016 Book: Strayer University Math 200: Precalculus Assignment: Week 10, Sections 6.1-6.6 9. 10. 11. Use a calculator to find a decimal approximation for the values of the following trigonometric functions. sin 38°24', cos 38°24', tan 38°24' sin 38°24' = .6211478 (Simplify your answer. Type an integer or a decimal. Round to seven decimal places if needed.) cos 38°24' = 3836935 (Simplify your answer. Type an integer or a decimal. Round to seven decimal places if needed.) tan 38°24'= .7925902 (Simplify your answer. Type an integer or a decimal. Round to seven decimal places if needed.) Find the values of the following trigonometric ftulctions. sin 36°. cos 36°, tan 36° sin 36°= .5878 (Round to four decimal places.) cos 36°= .809 (Round to four decimal places.) tan 36°= .7265 (Round to four decimal places.) Use the table feature of a grapher to find the acute angle 9. to the nearest tenth of a degree. for the given fiJnction value. tan 0 = 0.9055 0 = 42.2 (Round to the nearest tenth ofa degree.) Use the table feature ofa grapher to find the acute angle 9, to the nearest tenth ofa degree, for the given function value. cot B = 2.2512 9: (Round to the nearest tenth of a degree.) Page 3 Student: Shanna Hawxhurst Date: 3(17109 Time: 6:49 PM Instructor: Christine Curley Assignment: Week 10, Sections 6.1-6.6 Course: 903 CURLEY C, MAT 200 004 016 Precalculus Book: Strayer University Math 200: 14. 16. Rewrite sec 62° in terms of a(n) 23° angle and in terms of the reciprocal ofa trigonometric function. sec 67°: 1 23° Given that sin 51°= 0.7?7] cos 51°= 0.6293 tan 5 °= 1.2349 cot 5 °=0.8098 sec 51°: 1.5890 csc 51°= 1.2868 find the six filnction values of 39°. sin 39°= .6293 cos 39° = .7771 (Round to 4 decimal places.) cot 39°: 1.2349 sec 39°= 1.2868 (Round 4 decimal places.) Solve the right triangle shown, where a=6.1 and CL=15.5°. Find the measure of angle 24.5 ° (Round to the nearest tenth as needed.) Find the length of side b. D (Round to the nearest tenth as needed.) Find the length of side c. D (Round to the nearest tenth as needed.) Solve the right triangle ABC, with C = 90°. A=21° 24',c= 11.6ft tan 39°= .8098 Page 4 csc 39° = 1.5890 In the right triangle ABC, with C = 90°, B = ° '. (Simplify your answers. Type an integer or a decimal.) The length of side a = D it and ot‘side b = D it. (Simplify your answers. Type an integer or a decimal. Round to the nearest tenth if needed.) Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week 10, Sections 6.1-6.6 Date: 3/17/09 Course: 903 CURLEY C, MAT 200 004 016 Time: 6:49 PM Back: Strayer University Math 200: Precalculus 11 A marketing company wants to set up an easel to display posters advertising their latest products. The top of the easel is to be 6 feet high with the back flush against the wall. They want the angle between the front and back legs of the easel to be 23°. How far from the wall should the front legs be placed in order to obtain this angle. The distance between the front and back legs should be 2.5 feet. (Round to the nearest tenth.) 18_ From a hot air balloon 4 km high, a person looks east and sees one town with angle of depression of 11°. He then looks west to see another town with angle of depression of 84°. The distance between the two towns is km. (Round to the nearest tenth.) 19_ For the angle, state in which quadrant the terminal side lies. 12°18‘ The angle is in Quadrant (Type your answer as I, 11, III. or IV.) 20. PDT an angle 0f the fOHUWlflg measures State in The terminal side of — 188° lies in quadrant II . which quadrant the terminal side lies. (Type I, “I “L 0]. IV) — 188° 21_ Determine whether angles with the following Are the given angles coterminal'? measures are coterminal. No v Yes 20° and 1 100° 22_ Find the complement and supplement of T8.09°. The complement is 11.91 °. The supplement is 101.91 °. 23 Find the complement and supplement of 72.1 1°. The complement is 17.89 °. The supplement is l0?.89 °. Page 5 Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week 10, Sections 6.1-6.6 Date: 3/17/09 Course: 903 CURLEY C, MAT 200 004 016 Time: 6:49 PM Book: Strayer University Math 200: Preealculus 24_ Assume that a is an angle in standard position whose terminal side contains the point (— 2E. 4). Find the exact values of the following functions. sin a = 050$: Page 6 Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week 10, Sections 6.1-6.6 Date: 3/17109 Course: 903 CURLEY C, MAT 200 004 016 Time: 6:49 PM Book: Strayer University Math 200: Precalculus 25_ A function value and a quadrant are given. Find the other five function values. Give exact answers. cot B = 4 , Quadrant III V17 ~4'UI7‘ I 8111 9 cos B w an 9 4 ‘ csc9= ~\ll7 sec9= —— — l YOU ANSWERED: — ll 17 —_4 V 17 1? T? 17 - 4V 1? 26. Find the reference angle and the exact function value. sin "£425" The reference angle is °. sin 7425° = D 27’. Find the exact value of csc (90°). csc (90°) = 1 (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Type N ifthe answer is undefined.) 23 Find the reference angle and the exact value of the tangent, if it exists. tan( 120°) What is the reference angle? D" What is tan(120°)? |:| {Type N it‘lhe value is undefined.) Page 7 Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week 10, Sections 6.1-6.6 Date: 3/17109 Course: 903 CURLEY C, MAT 200 004 016 Time: 6:49 PM Book: Strayer University Math 200: Precalculus 29_ Find the signs of the six trigonometric firnction values for the given angle. 30 sin 3° is D, cos 3° is and tan 3° is (Type P for positive or N for negative.) csc 3° is sec 3° is and cot 3° is (Type P for positive or N for negative.) 30. Find the signs of the six trigonometric function values for the given angle. - 69° sin — 69° is N , cos — 69° is P , and tan — 69° is N. (Type P for positive or N for negative.) csc —69° is N . sec — 69° is P , and cot — 69° is N. (Type P for positive or N for negative.) 31_ Given that sin 33° = 0.5446. cos 33° = 0.8382, and tan 33° = 0.6494, find the trigonometric function values for 327°. sin 327°= — .5446 (Round to Four decimal places.) cos 327°= .8387 (Round to four decimal places.) tan 32'?°= — .6494 (Round to four decimal places.) 32_ An airplane flies 120 kilometers from an airport in a direction of 220°. How far west of the airport is the airplane then? How far south? In navigation, directions are given in degrees measured clockwise from north. The airplane is kilometers west. (Round to the nearest integer.) The airplane is kilometers south. (Round to the nearest integer.) Page 8 Student: Shanna Hawxhurst Date: 3/17/09 Time: 6:49 PM L14 L44 Instructor: Christine Curley Course: 903 CURLEY C, MAT 200 004 016 Book: Strayer University Math 200: Precalculus Find the function value. tan 29] .2" tan 291.2° a: - 2.5782 (Round to four decimal places.) Find the function value. sin 111°36’ Sin “1036193 .9298 (Round to four decimal places.) Given that cos B = 0.3584 and 270° < B < 360°, find 9. e = D° (Round to the nearest integer.) Given that sin 9: — 0.95] l and 220° < 9 < 360°. find 9. B= 288 ° (Round to the nearest integer.) 51': Which of the unit circles has a point determined by T? 52': Choose the unit circle with a point determined by YOU Ah SWERED: C Page 9 Assignment: Week 10, Sections 6.1-6.6 Student: Shanna Hawxhurst Date: $17109 Instructor: Christine Curley Assignment: Week 10, Sections 6.1-6.6 Course: 903 CURLEY C, MAT 200 004 016 Time: 6:49 PM Book: Strayer University Math 200: Precalculus 33 Find two real numbers between - 2n: and 231 that La \0 40. 41. 42. determine the point indicated on the unit circle. Two real numbers that determine the indicated point are — n: —111'E 6’6 (Simplify your answers. Type fractions with n: in the numerator. Use a comma to separate answers.) Determine whether angles with the following measures are coterminal. Determine whether angles with the following measures are coterminal. Convert the following degree measure to radian measure. 55° Convert the following degree measure to radian measure. 660° Convert the following degree measure to radian measure. 64.22" Page 10 Are the angles coterrninal'.’ (:3 No CD Yes Are the angles coterrninal'.’ '9' No Yes 117: _ 55°= — radlans 36 (Type a simplified fraction. Type an exact answer in terms of 1c.) _ 0: 11a _ 660 —3 radians (Simplify your answer. Type an integer or a fraction. Type an exact answer in terms of 11:.) 64.22°= 1.121 radians (Type an integer or a decimal. Round to the nearest thousandth as needed.) Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week 10, Sections 6.1-6.6 Date: 3/17/09 Course: 903 CURLEY C, MAT 200 004 016 Time: 6:49 PM Book: Strayer University Math 200: Precalculus 44_ Convert the following radian measure to degree measure. Use the calculator value for 31. I la — — rad 5 Ha — Trad= -396 degrees (Round to the nearest thousandth.) 45_ Complete the table. Distance, 5 (Arc length) Radius, r Angle, 9 6 ft 1 s—fi D 4 150 cm D m 45° (Round to the nearest hundredth as needed.) 46_ In a circle of radius 80 cm, an arc 172 cm long subtends an angle of how many radians? How many degrees? 43 The are subtends an angle of E radians. (Simplify your answer. Type a fraction.) The are subtends an angle of 123 degrees. (Round to the nearest degree.) 41 A printing press has a roller l6 inches in diameter. The speed ofa point on the roller's surface moves at 98 feet per second. What is the roller's angular speed? The angular speed of the roller is 14? per second. (Round to the nearest tenth as needed.) 48_ A water wheel has a radius of 12 ft. A river passing through the water wheel turns the wheel at 1 l revolutions per minute (rpm). What is the speed of the river in miles per hour? The river's speed is approximately 1 mph. (Round to the nearest hundredth.) Page 11 Student: Shanna Hawxhurst Date: 3(17109 Instructor: Christine Curley Course: 903 CURLEY C, MAT 200 004 016 Assignment: Week 10, Sections 6.1-6.6 Time: 6:49 PM Book: Strayer University Math 200: Precalculus 4C)_ The following point is on the unit circle. Find the coordinates of its reflection across the x-axis. the y-axis. and the origin. l- ‘5) The reflection across the x-axis is [ — 2 3 _ 9 3 ii] 3’ 3 ' (Type an ordered pair. Type an integer or a fraction. Type exact answers for each coordinate, using radicals as needed.) 2 The reflection across the y-axis is [;, — 3 (Type an ordered pair. Type an integer or a fraction. Type exact answers for each coordinate, using radians as needed.) 2V5— The reflection across the origin is . (Type an ordered pair. Type an integer or a fraction. Type exact answers for each coordinate, using radicals as needed.) \f3— rt 1 The number — determines a point on the unit circle with coordinates [— —]. What are the coordinates 6 2 i 2 I y a of the pomt determmed by — E? III The coordinates of the point determined by — E are (Type an ordered pair. Type an integer or a fraction. Type exact answers for each coordinate, using radicals as needed.) Find the function value using coordinates of points on the unit circle. Give the exact answer. mg] vr (Type an exact answer. using radicals as needed. Rationalize the denominator, ifnecessary.) Page 12 Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week 10, Sections 6.1-6.6 Date: 3/17109 Course: 903 CURLEY C, MAT 200 004 016 Time: 6:49 PM Book: Strayer University Math 200: Precalculus 52_ Find the exact value of the following expression. Do not use a calculator to enter a decimal approximation. cos it cos it = (Type an integer or a fraction. Type an exact answer, using radicals as needed.) 53 Use the unit circle, along with the definitions of the _ 1: TE 11: circular functions, to find the exact values for the 5m 3 C05 ? ta" ? given functions. Then find the values on your calculator (in radian mode). 113 TE n ‘ sin —= .8660 cos —= .5 tan —= V3— 3 3 3 (Simplify your answers. Rationalize the denominators. Type exact values.) II: 1: :t sin —=s .8660 cos —ra .5 tan —=s 1.?321 3 3 3 (Round to four decimal places.) YOU ANSWERED: .8 54_ In which quadrant is tangent positive? Choose the correct answer. V I, III : III, IV III I 55_ Determine the amplitude and phase shift of the function y = — 3SIII(X). Also, choose its graph. The amplitude is 3 . The phase shift is 0 . Choose the correct graph below. 9. A}: A? A)” 10: 10: 10: I I: X E X E \ Eflrféhjédg—* figflhgfl$fiffih_’ rrrrrtnnnan—* — _ 0 -1 _ 10 ~W\/‘1~0 v10: —1o£ '10: Page 13 Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week 10, Sections 6.1-6.6 Date: 3/17109 Course: 903 CURLEY C, MAT 200 004 016 Time: 6:49 PM Book: Strayer University Math 200: Precalculus 56. . _ . . 1" Determlne the amplltude, penod, and phase shift ofy = — 3cos[x — 1: The amplitude is 3 . The period is 27: . The phase shift is 3 . 57'. . . . . 1‘ Determlne the amphtude, period, and phase shift of y = 2 sin + II]. The amplitude is 2 . The period is 8 . The phase shift is — 4 . 58_ Write an equation of the form 10}? y = A sin (B[x - C]) + D whose graph is the given — sine wave. Choose the correct answer below. CJA II: y=3sm 2 x-— +1 F IB 3 . II: 1 = sm x - — - y 4 . . . . QC. _ . n i ? y_3SIn2X_4 _l DD” 3 H 1 H 079 it 157 3“ 236 =' ——+ —s..;—s.;—s- y 5'“ x 4 4 2 4 59, Graph, using addition of ordinates. y=sin X +cos 3X Choose the correct graph below. Q. A)’ 5_ .. .i x fig .353: 31:35.52 .__5__ Page 14 Student: Shanna Havmhucrst Instructor: Christine Curley Assignment: Week 10, Sections 6.1-6.6 Date: 3/17/09 Course: 903 CURLEY C, MAT 200 004 016 Time: 6:49 PM Book: Strayer University Math 200: Preealculus 60_ Graph, using addition of ordinates. y =4cos x +sin 5): Choose the correct graph below. Page 15 ...
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This note was uploaded on 01/19/2012 for the course MATH MAT200 taught by Professor Unknown during the Spring '11 term at Strayer.

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(MAT200 -PreCalclus) Wk10 HmWrk (Chptr 6 -Trig.) - Student:...

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