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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
Use a graphing calculator to graph the function.y = -x - sin x
Find the reference angle and the exact function value if they exist.sin 90°
Find the function value. Round to four decimal places.cot 17°
Consider the coordinates on the unit circle for Exercises.In which quadrants is the cosecant function positive? negative?
Find the complement and the supplement.π/3
Use a graphing calculator to graph the function.y = x + sin x
Find the reference angle and the exact function value if they exist.sec ( -90°)
Find the function value. Round to four decimal places.cos 51°
Consider the coordinates on the unit circle for Exercises.In which quadrants is the cosine function positive? negative?
Find a positive angle and a negative angle that are coterminal with the given angle.-3π/4
Find the reference angle and the exact function value if they exist.cot 855°
Graph using addition of ordinates. Then check your work using a graphing calculator.y = 3 sin x - cos 2x
Graph using addition of ordinates. Then check your work using a graphing calculator.y = 3 cos x + sin 2x
Find the length of an arc of a circle, given a central angle of π/4 and a radius of 7 cm.
Convert to D°M′S″ notation. Round to the nearest second.39.45°
Consider the coordinates on the unit circle for Exercises.In which quadrants is the tangent function positive? negative?
Find a positive angle and a negative angle that are coterminal with the given angle.π
Find the reference angle and the exact function value if they exist.cos ( -120°)
Convert to degree measure. Round the answer to two decimal places where appropriate.11π
Graph using addition of ordinates. Then check your work using a graphing calculator.y = 3 cos x - sin x
Convert to D°M′S″ notation. Round to the nearest second.30.2505°
Of the six circular functions, which have period π? Which have period 2π?
Find a positive angle and a negative angle that are coterminal with the given angle.7π/6
Find the reference angle and the exact function value if they exist.cot 570°
Graph using addition of ordinates. Then check your work using a graphing calculator.y = sin x - cos x
Convert to degree measure. Round the answer to two decimal places where appropriate.-4.5
Convert to D°M′S″ notation. Round to the nearest second.0.9°
Of the six circular functions, which are even? Which are odd?
Find a positive angle and a negative angle that are coterminal with the given angle.5π/3
Graph using addition of ordinates. Then check your work using a graphing calculator.y = 2 sin x + cos 2x
Find the reference angle and the exact function value if they exist.sin 300°
Convert to degree measure. Round the answer to two decimal places where appropriate.3
Convert to D°M′S″ notation. Round to the nearest second.0.253°
Why is the domain of the tangent function different from the domains of the sine function and the cosine function?
Graph using addition of ordinates. Then check your work using a graphing calculator.y = sin x + cos 2x
Find the reference angle and the exact function value if they exist.csc ( -210°)
Find a positive angle and a negative angle that are coterminal with the given angle.π/4
Certain negative angles are marked here in degrees. Find the corresponding radian measures. -225° -180° -135° ул -270° -90° S .-315° -360° 10° -60° -30° -45° X
Convert to degree measure. Round the answer to two decimal places where appropriate.3π/2
Convert to D°M′S″ notation. Round to the nearest second.47.8268°
Graph using addition of ordinates. Then check your work using a graphing calculator.y = 3 cos x + cos 3x
Find the reference angle and the exact function value if they exist.tan 675°
Certain positive angles are marked here in degrees. Find the corresponding radian measures. 135⁰ 180° 225° 90° 60° 十 270° 45° 30° 0° 360° x 315°
For angles of the following measures, convert to radian measure in terms of π, and convert to radian measure not in terms of π. Round the answer to two decimal places.-30°
Convert to D°M′S″ notation. Round to the nearest second.29.8°
Explain the difference between reciprocal functions and cofunctions.
Graph using addition of ordinates. Then check your work using a graphing calculator.y = 2 cos x + cos 2x
Find the reference angle and the exact function value if they exist.cos 495°
In Exercises, determine the equation of the function that is graphed. ул -27 N WM -1 -2 2+ x
It is common experience to hear the sound of a low-flying airplane and look at the wrong place in the sky to see the plane. Suppose that a plane is traveling directly at you at a speed of 200 mph and an altitude of 3000 ft, and you hear the sound at what seems to be an angle of elevation of 20°.
For angles of the following measures, convert to radian measure in terms of π, and convert to radian measure not in terms of π. Round the answer to two decimal places.145.2°
Convert to D°M′S″ notation. Round to the nearest second.11.75°
Why do the function values of u depend only on the angle and not on the choice of a point on the terminal side?
Find the reference angle and the exact function value if they exist.tan 270°
On a unit circle, mark and label the points determined by 7π/6, -3π/4, -π/3, and 9π/4.
In Exercises, determine the equation of the function that is graphed. -2π -TT YA 1 A -2 77 -3 2T X
Convert to D°M′S″ notation. Round to the nearest second.67.84°
Find the function value. Round the answer to four decimal places.cos 87°15′
Find the reference angle and the exact function value if they exist.sin 7560°
An airplane travels at 530 mph for 3 1/2 hr in a direction of 160° from Minneapolis, Minnesota. At the end of that time, how far south of Minneapolis is the airplane?
Convert to a logarithmic equation: e4 = t.
Find h, to the nearest tenth. 36° 7 h
In Exercises, determine the equation of the function that is graphed. -2π-T YN 2 1 ㅠ 2π
Convert to D°M′S″ notation. Round to the nearest second.83.025°
In Exercises, determine the equation of the function that is graphed. -2п -п ул 2 N -1 П 2п X
Find the function value. Round the answer to four decimal places.sin (- 40.1°)
A V-gauge is used to find the diameter of a pipe. The advantage of such a device is that it is rugged, it is accurate, and it has no moving parts to break down. In the figure, the measure of angle AVB is 54°. A pipe is placed in the V-shaped slot and the distance VP is used to estimate the
Find the reference angle and the exact function value if they exist.sin (-45°)
Given that tan θ = 2/√5 and that the terminal side is in quadrant III, find the other five trigonometric function values.
Find the six trigonometric function values for the angle θ shown. (-2,3) A- ул -2 Х
Convert to D°M′S″ notation. Round to the nearest second.20.14°
Find the function value. Round the answer to four decimal places.cot 142.7°
Find the reference angle and the exact function value if they exist.tan (-135°)
Convert to D°M′S″ notation. Round to the nearest second.17.6°
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate. sin 8T 3
Find the function value. Round the answer to four decimal places.csc ( -74°)
Convert to an exponential equation:log 0.001 = -3.
Find the reference angle and the exact function value if they exist.sec ( -225°)
Find the complement and the supplement.π/6
Convert to decimal degree notation. Round to two decimal places.44′10″
Find the function value. Round the answer to four decimal places.sin 10°28′3″
Find the reference angle and the exact function value if they exist.cos 150°
Convert to decimal degree notation. Round to two decimal places.5°53″
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate. tan 2π 9
Find the function value. Round the answer to four decimal places.tan 2183°
Find the complement and the supplement.13.4°
A function value and a quadrant are given. Find the other five trigonometric function values. Give exact answers.sin θ = - 5/13; quadrant III
A lobster boat is situated due west of a lighthouse. A barge is 12 km south of the lobster boat. From the barge, the bearing to the lighthouse is N63°20 E. How far is the lobster boat from the lighthouse? 12 km 63°20' North
Convert to decimal degree notation. Round to two decimal places.68°2″
A function value and a quadrant are given. Find the other five trigonometric function values. Give exact answers.cos ϕ = 3/5; quadrant IV
Find a positive angle and a negative angle that are coterminal with the given angle.7π/3
Find the function value. Round the answer to four decimal places.sec 50°
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate.cos (-29)
Convert to decimal degree notation. Round to two decimal places.15′5″
A vertical antenna is mounted atop a 50-ft pole. From a point on level ground 75 ft from the base of the pole, the antenna subtends an angle of 10.5°. Find the length of the antenna. 10.5°. 75 ft 50 ft
Find a positive angle and a negative angle that are coterminal with the given angle.65°
Find the function value. Round the answer to four decimal places.cos 39.8°
Find the function value using a calculator set in RADIAN mode. Round the answer to four decimal places, where appropriate.sin 0
A function value and a quadrant are given. Find the other five trigonometric function values. Give exact answers.cos α = - 4/5; quadrant II
Convert to decimal degree notation. Round to two decimal places.76°11′34″
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