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mathematics
algebra and trigonometry graphs
Algebra And Trigonometry Graphs And Models 6th Edition Marvin Bittinger, Judith Beecher, David Ellenbogen, Judith Penna - Solutions
For angles of the following measures, state in which quadrant the terminal side lies.-392°
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate. sin | TT 4
Without a calculator, find the exact function value.cos 495°
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate.cot 7π
A function value and a quadrant are given. Find the other five trigonometric function values. Give exact answers.cot θ = -2; quadrant IV
Convert to decimal degree notation. Round to two decimal places.49°38′46″
For angles of the following measures, state in which quadrant the terminal side lies.-635.2°
Without a calculator, find the exact function value.sec 3600°
In extremely large forests, it is not cost-effective to position forest rangers in towers or to use small aircraft to continually watch for fires. Since lightning is a frequent cause of fire, lightning detectors are now commonly used instead. These devices not only give a bearing on the location
A function value and a quadrant are given. Find the other five trigonometric function values. Give exact answers.tan β = 5; quadrant I
Convert to decimal degree notation. Round to two decimal places.19°47′23″
An observer’s eye is 6 ft above the floor. A mural is being viewed. The bottom of the mural is at floor level. The observer looks down 13° to see the bottom and up 17° to see the top. How tall is the mural? 17° 13°
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate. tan Υπ 4
For angles of the following measures, state in which quadrant the terminal side lies.142°11′5″
Without a calculator, find the exact function value.tan 90°
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate.cos 2000
From the top of a lighthouse 55 ft above sea level, the angle of depression to a small boat is 11.3°. How far from the foot of the lighthouse is the boat?
A function value and a quadrant are given. Find the other five trigonometric function values. Give exact answers.sin θ = - 1/3; quadrant III
Convert to decimal degree notation. Round to two decimal places.3°2′
Without a calculator, find the exact function value.csc 150°
From a hot-air balloon 2 km high, the angles of depression to two towns in line with the balloon and on the same side of the balloon are 81.2° and 13.5°. How far apart are the towns?
The terminal side of angle θ in standard position lies on the given line in the given quadrant. Find sin θ, cos θ, and tan θ.y = 0.8x; quadrant III
Convert to decimal degree notation. Round to two decimal places.64°53′
One leg of a right triangle bears east. The hypotenuse is 734 m long and bears N57°23′E. Find the perimeter of the triangle.
Find the six trigonometric function values for the angle shown. Y木 (-2, 11) r B x
Without a calculator, find the exact function value.cot 0°
Without a calculator, find the exact function value.sin 750°
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate. sec 10п 7
The Millau Viaduct in southern France is the tallest cable-stayed bridge in the world. What is the angle of elevation of the sun when a pylon with height 343 m casts a shadow of 186 m?
The terminal side of angle θ in standard position lies on the given line in the given quadrant. Find sin θ, cos θ, and tan θ.5x - 4y = 0; quadrant I
Convert to decimal degree notation. Round to two decimal places.35°50″
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate. sin TT 10
Without a calculator, find the exact function value.cos 210°
Solve each of the following right triangles. Standard lettering has been used.a = 30.5, B = 51.17°
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate.csc 4.16
The pitch of the roof for a medical office needs to be 5/12. If the building is 33 ft wide, how long must the rafters be?
The terminal side of angle θ in standard position lies on the given line in the given quadrant. Find sin θ, cos θ, and tan θ.4x + y = 0; quadrant II
Convert to radian measure. Round the answer to two decimal places.24.8°
Nancy is designing a quilt that she will enter in the quilt competition at the State Fair. The quilt consists of twelve identical squares with 4 rows of 3 squares each. Each square is to have a regular octagon inscribed in a circle, as shown in the figure.Each side of the octagon is to be 7 in.
Convert to decimal degree notation. Round to two decimal places.52°15′
Without a calculator, find the exact function value.csc 45°
Solve each of the following right triangles. Standard lettering has been used.a = 7.3, c = 8.6
Blaise, an architect for luxury homes, is designing a house that is 46 ft wide with a roof whose pitch is 11/12. Determine the length of the rafters needed for this house. Round the answer to the nearest tenth of a foot.
The terminal side of angle θ in standard position lies on the given line in the given quadrant. Find sin θ, cos θ, and tan θ.2x + 3y = 0; quadrant IV
Find the six trigonometric function values for the angle shown. ул r α (9, 1) X
Convert to radian measure. Round the answer to two decimal places.95°
Massive trees can survive wildfires that leave large caves in them. A hiker observes scientists measuring a fire cave in a redwood tree in Prairie Creek Redwoods State Park. He estimates that he is 80 ft from the tree and that the angle between the ground and the line of sight to the scientists is
Convert to decimal degree notation. Round to two decimal places.9°43′
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate.cos 6π
Find the six trigonometric function values for the angle shown. (-2V/3,-4) X
Find the exact acute angle θ, in degrees, given the function value. sec 0 = 2√3 3
Convert to radian measure. Round the answer to two decimal places.-75°
A window washer on a ladder looks at a nearby building 100 ft away, noting that the angle of elevation to the top of the building is 18.7° and the angle of depression to the bottom of the building is 6.5°. How tall is the nearby building? 18.7⁰ 100 ft 6.5°
The game Four Square is making a comeback on college campuses. The game is played on a 16-ft square court divided into four smaller squares that meet in the centerIf a line is drawn diagonally from one corner to another corner, then a right triangle QTS is formed, where ∠QTS is 45°. Using the
Without a calculator, find the exact function value.cot ( -315°)
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate.tan 1.3
Find the exact acute angle θ, in degrees, given the function value. Cos = كراده
For a science fair project, a group of students tested different materials used to construct kites. Their instructor provided an instrument that accurately measures the angle of elevation. In one of the tests, the angle of elevation was 63.4° with 670 ft of string out. Assuming the string was
Convert to radian measure. Round the answer to two decimal places.345°
Without a calculator, find the exact function value.tan ( -240°)
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate.cot 342
Convert to radian measure. Round the answer to two decimal places.584°
Find the exact function value.tan 60°
Find the six trigonometric function values for the angle shown. y la r (9,-4) X
Find the exact acute angle θ, in degrees, given the function value. sin 0 || اعداد 3 2
Without a calculator, find the exact function value.sec 180°
Find the exact acute angle θ, in degrees, given the function value.tan θ = 23
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate.sin 11.7
A weather balloon is directly west of two observing stations that are 10 mi apart. The angles of elevation of the balloon from the two stations are 17.6° and 78.2°. How high is the balloon?
Find the six trigonometric function values for the angle shown. Ө ул r X (V7,-3)
Convert to radian measure. Round the answer to two decimal places.1.354°
Find the exact function value.csc 30°
The Golden Gate Bridge has two main towers of equal height that support the two main cables. A visitor on a tour boat passing through San Francisco Bay views the top of one of the towers and estimates the angle of elevation to be 30°. After sailing 670 ft closer, he estimates the angle of
Without a calculator, find the exact function value.sin 120°
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate.sec 37
Find the six trigonometric function values for the angle shown. (-12, 5) r h ул B X
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate. COS 2πT 5
A regular pentagon is inscribed in a circle of radius 15.8 cm. Find the perimeter of the pentagon.
Convert to radian measure. Round the answer to two decimal places.-231.2°
Find the exact function value.sec 30°
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate. tan πT 7
Without a calculator, find the exact function value.cos 270°
Find θ in the interval indicated. Round the answer to the nearest tenth of a degree.tan θ = 1.0799, (0°, 90°)
Convert to radian measure. Round the answer to two decimal places.117.8°
Find the exact function value.tan 45°
Without a calculator, find the exact function value.sin 90°
Find θ in the interval indicated. Round the answer to the nearest tenth of a degree.cos θ = -0.9041, (180°, 270°)
While visiting Mount Rushmore in Rapid City, South Dakota, Landon approximated the angle of elevation to the top of George Washington’s head to be 35°. After walking 250 ft closer, he guessed that the angle of elevation had increased by 15°. Approximate the height of the Mount Rushmore
Find the function value using coordinates of points on the unit circle. Give exact answers. tan 5T 3
Convert to radian measure. Round the answer to two decimal places.145°
To measure cloud height at night, a vertical beam of light is directed on a spot on the cloud. From a point 135 ft away from the light source, the angle of elevation to the spot is found to be 67.35°. Find the height of the cloud to the nearest foot. 67.35° 135 ft h
Find the complement and the supplement.67.31°
Find the exact function value.cos 60°
Without a calculator, find the exact function value.csc ( -30°)
Find the function value using coordinates of points on the unit circle. Give exact answers. cot 5 п 2
Find the function value. Round to four decimal places.sin 556.13°
The longest escalator in the world is in the subway system in St. Petersburg, Russia. The escalator is 1084.6 ft long and drops a vertical distance of 195.8 ft. What is its angle of depression?
Convert to radian measure. Round the answer to two decimal places.-60°
Find the complement and the supplement.45.2°
Find the exact function value.sin 30°
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