Skip to main content

Bartleby Sitemap - Textbook Solutions

All Textbook Solutions for Algebra and Trigonometry (MindTap Course List)

10E 11E 11-14 Area of Circular SectorThese exercises involve the formula for the area of a circular sector. Find the area of a sector with central angle 52 in a circle of radius 200 ft.13E 14E Angular Speed and Linear Speed A potters wheel with radius 8 in. spins at 150rpm. Find the angular and linear speeds of a point on the rim of the wheel.16E 17E 18E 19E 20E 21E 22E 23E 24E 25E 26E 27E 28E 29E Radius of the Moon As viewed from the earth, the angle subtended by the full moon is 0.518. Use this information and the fact that the distance AB from the earth to the moon is 236,900 mi to find the radius of the moon.Distance Between Two Ships A pilot measures the angles of depression to two ships to be 40 and 52 see the figure. If the pilot is flying at an elevation of 35,000 ft, find the distance between the two ships.33E 34E 35E 36E 37E 38E 33-44 Values Trigonometric Functions Find the exact value. cos585 40E 41E 42E 43E 44E 45E 46E 47E Values of Trigonometric Functions Find the six trigonometric ratios of the angle in standard position if its termial side is in Quadrant III and is parallel to the line 4y-2x-1=0.49E 50E 51E 52E 53E 54E 55E 56E 57E 58E 59E 57-60 Values of an Expression Find the values of the given trigonometric expression. If cos=-3/2, and /2, find sin2.61E 62E 63E 64E 65E 66E 67E 68E 69E 70E 71E 72E 73E 74E 75E 76E 77E 78E 79E Height of a Building From a point A on the ground, the angle of elevation to the top of a tall building is 24.1. From a point B, which is 600 ft closer to the building, the angle of elevation is measured to be 30.2. Find the height of the building.81E Distance Between a Boat and the Shore A boat is cruising the ocean off a straight shoreline. Points A and B are 120 mi apart on the shore, as shown. It is found that A=42.3 and B=68.9. Find the shortest distance from the boat to the shore.83E Herons Formula Find the area of a triangle with sides of length 5, 6, and 8.Find the radian measures that correspond to the degree 330 and 135.Find the degree measures that correspond to the radian measures 4/3 and 1.3 3CT 4CT 5CT Express the lengths a and b shown in the figure in terms of .If cos=13 and is in Quadrant III, find tancot+csc.If sin=513 and tan=512, find sec.Express tan in terms of sec for in Quadrant II.The base of the ladder in the figure is 6 ft from the building, and the angle formed by the ladder and the ground is 73. How high up the building does the ladder touch?Express in each figure in terms of x.Find the exact value of cos(tan1940)13-18 Find the side labeled x or the angle labeled .14CT 13-18 Find the side labeled x or the angle labeled .16CT 17CT 18CT Refer to the figure below. a Find the area of the shaded region. b Find the perimeter of the shaded region.Refer to the figure below. a Find the angle opposite the longest side. b Find the area of the triangle.Two wires tether a balloon to the ground, as shown. How high is the balloon above the ground?Completing the Map Find the distance between the church and the City Hall.Completing the Map Find the distance between the fire hall and the school. Hint: You will need to find other distances first.Determining a Distance A surveyor on one side of a river wishes to find the distance between two points A and B on the opposite side of the river. On her side she chooses points C and D, which are 20 m apart, and measure the angles shown in the figure below. Find the distance between A and B.Height of a Cliff To measure the height of an inaccessible cliff on the opposite side of a river, a surveyor makes the measurements shown in the figure at the left. Find the height of the cliff.Height of a Mountain To calculate the height h of a mountain, angles and and distance d are measured, as shown in the figure below. a Show that h=dcotcot b Show that h=dsinsinsin() c Use the formulas from parts a and b to find the height of a mountain if =25, =29 and d=800 ft. Do you get the same answer from each formula?6P 7P 1E a If we mark off a distance t along the unit circle, starting at (1,0) and moving in a counter clockwise direction, we arrive at the ______ point determined by t. b The terminal points determined by 2,,2,2 are ____, _____, _____ and ____ respectively.3E 4E 5E 3 8. Points on the Unit Circle Show that the point is on the unit circle. (57,267)3 8. Points on the Unit Circle Show that the point is on the unit circle. (53,23)8E 9E 10E 11E 9 14. Points on the Unit Circle. Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant. Coordinates Quadrant P(25,) I 9 14. Points on the Unit Circle. Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant. Coordinates Quadrant P(,27) IV 14E 15E 16E 17E 18E 19E 20E 21 22 Terminal Points Find t and the terminal point determined by t for each point in the figure. In Exercise 21, t increases in increments of 4; in Exercise 22, t increases in increments of 6.22E 23E 24E 23 36 Terminal Points Find the terminal point P(x,y) on the unit circle determined by the given value of t. t=32 26E 27E 23 36 Terminal Points Find the terminal point P(x,y) on the unit circle determined by the given value of t. t=76 23 36 Terminal Points Find the terminal point P(x,y) on the unit circle determined by the given value of t. t=54 23 36 Terminal Points Find the terminal point P(x,y) on the unit circle determined by the given value of t. t=43 23 36 Terminal Points Find the terminal point P(x,y) on the unit circle determined by the given value of t. t=76 23 36 Terminal Points Find the terminal point P(x,y) on the unit circle determined by the given value of t. t=53 33E 34E 35E 36E 37 40 Reference Numbers Find the reference number for each value of t. a t=43 37 40 Reference Numbers Find the reference number for each value of t. b t=53 37 40 Reference Numbers Find the reference number for each value of t. c t=76 37 40 Reference Numbers Find the reference number for each value of t. d t=3.5 37 40 Reference Numbers Find the reference number for each value of t. a t=9 37 40 Reference Numbers Find the reference number for each value of t. b t=54 37 40 Reference Numbers Find the reference number for each value of t. c t=256 37 40 Reference Numbers Find the reference number for each value of t. d t=4 37 40 Reference Numbers Find the reference number for each value of t. a t=57 39.2E 37 40 Reference Numbers Find the reference number for each value of t. c t=3 39.4E 40E 41E 42E 41 54 Terminal Points and Reference Numbers Find a the reference number for each value of t and b the terminal point determined by t. t=43 44E 45E 46E 47E 48E 49E 50E 51E 52E 53E 54E 55E 56E 57E 58E 59E 60E Finding the Terminal Point for 6. Suppose the terminal point determined by t=6 is P(x,y) and the points Q and R are as shown in the figure. Why are the distances PQ and PR the same? Use this fact, together with the Distance Formula, to show that the coordinates of P satisfy the equation 2y=x2+(y1)2. Simplify this equation using the fact that x2+y2=1. Solve the simplified equation to find P(x,y).62E Let Px,y be the terminal points on the unit circle determined by t. Then sin t =____, cos t =_____ and tan t =________.2E 3E 4E 5E 5-22 Evaluating Trigonometric Functions Find the exact value of the trigonometric function at the given real number. a sin 53 b cos 113 c tan 53 7E 8E 9E 5-22 Evaluating Trigonometric Functions Find the exact value of the trigonometric function at the given real number. a sin34 b sin54 c sin74 11E 12E 13E 5-22 Evaluating Trigonometric Functions Find the exact value of the trigonometric function at the given real number. a tan -4 b csc -4 c cot -4 15E 16E 17E 5-22 Evaluating Trigonometric Functions Find the exact value of the trigonometric function at the given real number. a sec34 b cos-23 c tan-76 5-22 Evaluating Trigonometric Functions Find the exact value of the trigonometric function at the given real number. a sin43 b sec116 c cot-3 5-22 Evaluating Trigonometric Functions Find the exact value of the trigonometric function at the given real number. a csc23 b sec-53 c cos103 5-22 Evaluating Trigonometric Functions Find the exact value of the trigonometric function at the given real number. a sin13 b cos14 c tan15 5-22 Evaluating Trigonometric Functions Find the exact value of the trigonometric function at the given real number. a sin252 b cos252 c cot252 23-26 Evaluating Trigonometric Functions Find the value of each of the six trigonometric functionsif it is defined at the given real number t. Use your answers to complete the table. t=0 t sint cost tant csct sect cott 0 0 1 undefined Evaluating Trigonometric Functions Find the value of each of the six trigonometric functionsif it is defined at the given real number t. Use your answers to complete the table. t=2 t sint cost tant csct sect cott 2 Evaluating Trigonometric Functions Find the value of each of the six trigonometric functions if it is defined at the given real number t. Use your answers to complete the table. t= t sint cost tant csct sect cott 0 undefined 23-26 Evaluating Trigonometric Functions Find the value of each of the six trigonometric functionsif it is defined at the given real number t. Use your answers to complete the table. t=32 t sint cost tant csct sect cott 32 Evaluating Trigonometric FunctionsThe terminal point Px,y determined by a real number t is given. Find sint, cost and tant. -35,-45 Evaluating Trigonometric FunctionsThe terminal point Px,y determined by a real number t is given. Find sint, cost and tant. -12,32 Evaluating Trigonometric FunctionsThe terminal point Px,y determined by a real number t is given. Find sint, cost and tant. -13,223 Evaluating Trigonometric FunctionsThe terminal point Px,y determined by a real number t is given. Find sint, cost and tant. 15,-265 Evaluating Trigonometric FunctionsThe terminal point Px,y determined by a real number t is given. Find sint, cost and tant. -67,137 Evaluating Trigonometric FunctionsThe terminal point Px,y determined by a real number t is given. Find sint, cost and tant. 4041,941 Evaluating Trigonometric FunctionsThe terminal point Px,y determined by a real number t is given. Find sint, cost and tant. -513,-1213 Evaluating Trigonometric FunctionsThe terminal point Px,y determined by a real number t is given. Find sint, cost and tant. 55,255 Evaluating Trigonometric FunctionsThe terminal point Px,y determined by a real number t is given. Find sint, cost and tant. -2029,2129 36E Values of Trigonometric Functions Find an approximate value of given trigonometric function by using a the figure and b a calculator. Compare the two values. sin1 Values of Trigonometric Functions Find an approximate value of given trigonometric function by using a the figure and b a calculator. Compare the two values. cos0.8 39E 40E 41E Values of Trigonometric Functions Find an approximate value of given trigonometric function by using a the figure and b a calculator. Compare the two values. tan-1.3 43E 44E 45E 46E 47E 48E Quadrant of a Terminal PointFrom the information given, find the quadrant in which the terminal point determined by t lies. sint0 and cost0 Quadrant of a Terminal PointFrom the information given, find the quadrant in which the terminal point determined by t lies. tant0 and sint0 51E Quadrant of a Terminal PointFrom the information given, find the quadrant in which the terminal point determined by t lies. cost0 and cott0 53E 54E Writing One Trigonometric Expression in Terms of Another Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant. tant,sint; Quadrant IV 56E 57E 58E 59E 60E Writing One Trigonometric Expression in Terms of Another Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant. tant,sint; any quadrant 62E Using the Pythagorean Identities Find the values of the trigonometric functions of t from the given information. sint=-45, terminal point of t is in Quadrant IV 64E 65E Using the Pythagorean Identities Find the values of the trigonometric functions of t from the given information. tant=14, terminal point of t is in Quadrant III Using the Pythagorean Identities Find the values of the trigonometric functions of t from the given information. tant=-125, sint0 68E 69E 70E 71E 72E Even and odd Function Determine whether the function is even, odd, or neither. See page 240 for the definitions of even and odd functions. fx=sinxcosx 74E 75E 76E 77E 78E 79E 80E 81E Bungee Jumping A bungee jumper plummets from a high bridge to the river below and then bounces back over and over again. At time t seconds after her jump, her height H in meters above the river is given by Ht=100+75e-t20cos4t. t Ht 0 1 2 4 6 8 12 83E 84E If a function f is periodic with period p, then ft+p=________________ for every t. The trigonometric function y=sinx and y=cosx are periodic, with period _____________ and amplitude________________. Sketch a graph of each function on the interval 0,2.2E 3E 4E 5E 6E 5-18 Graphing Sine and Cosine Functions Graph the function. fx=-sinx 8E 9E 5-18 Graphing Sine and Cosine Functions Graph the function. fx=-1+cosx 11E 12E 13E 14E 15E 5-18 Graphing Sine and Cosine Functions Graph the function. gx=4-2sinx 17E 18E 19E 19-32 Amplitude and period Find the amplitude and period of the function, and sketch its graph. y=-sin2x 21E 19-32 Amplitude and period Find the amplitude and period of the function, and sketch its graph. y=cos4x 23E 24E 25E 19-32 Amplitude and period Find the amplitude and period of the function, and sketch its graph. y=5cos14x 27E 28E 29E 30E 31E 32E 33E 34E 35E 33-46 Horizontal shifts Find the amplitude, period, and horizontal shift of the function, and graph one complete period. y=3cosx+4 37E 38E 39E 33-46 Horizontal shifts Find the amplitude, period, and horizontal shift of the function, and graph one complete period. y=2sin23x-6 41E 33-46 Horizontal Shifts Find the amplitude, period, and horizontal shift of the function, and graph one complete period. y=1+cos3x+2 43E

Page: [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]