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study help
mathematics
precalculus
Questions and Answers of
Precalculus
In problem, convert each angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places.73°
In problem, convert each angle in degrees to radians. Express your answer in decimal form, rounded to two decimal places.17°
Write the equation of a sine function that has the given characteristics.Amplitude: 3Period: 2
In problem, convert each angle in radians to degrees.-3π/4
Write the equation of a sine function that has the given characteristics.Amplitude: 4Period: 1
Write the equation of a sine function that has the given characteristics.Amplitude: 2Period: 4π
Write the equation of a sine function that has the given characteristics.Amplitude: 3Period: π
In problem, convert each angle in radians to degrees.– π/6
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. 3 sin У
In problem, convert each angle in radians to degrees.–π
(a) Find a linear function that contains the points (-2, 3) and (1, -6). What is the slope? What are the intercepts of the function? Graph the function. Be sure to label the intercepts.(b) Find a
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. 3 3 cos 4 2
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y = -4 sin х
Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function.y = 2 sin(4x)
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.y = 2 sin x + 3
Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function.y = -3 cos(2x)
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.y = 3 cosx +2
Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function. y = -2 cos x + 2
Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function.y = 3 sin(x - π)
Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function.y = tan(x + π)
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. - 4 y = -6 sin
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y = -3 cos + 2 т 4
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.y = 5 - 3 sin(2x)
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.y = 2 - 4 cos(3x)
In problem, convert each angle in radians to degrees.– π/2
Find the shortest distance from Honolulu to Melbourne, Australia, latitude 37°47'S, longitude 144°58'E. Round your answer to the nearest mile.The shortest distance between two points on Earth's
Find the shortest distance from Chicago, latitude 41°50'N, longitude 87°37'W to Honolulu, latitude 21°18'N, longitude 157°50'W. Round your answer to the nearest mile.The shortest distance between
The area under the graph of and above the x-axis between x = a and x = b is given bysin-1 b – sin-1 aSee the figure.(a) Find the exact area under the graph of and above the x-axis between
The area under the graph of y = 1/1 + x2 and above the x-axis between x = a and x = b is given bytan-1 b – tan-1 aSee figure (a) Find the exact area under the graph of y = 1/1 + x2 and above
Suppose that a movie theater has a screen that is 28 feet tall. When you sit down, the bottom of the screen is 6 feet above your eye level. The angle formed by drawing a line from your eye to the
Cadillac Mountain, elevation 1530 feet, is located in Acadia National Park, Maine, and is the highest peak on the east coast of the United States. It is said that a person standing on the summit will
Approximate the number of hours of daylight for any location that is 66°30' north latitude for the following dates:(a) Summer solstice (i = 23.5°)(b) Vernal equinox (i = 0°)(c) July 4(1 =
Approximate the number of hours of daylight at the Equator (0° north latitude) for the following dates:(a) Summer solstice (i = 23.5°)(b) Vernal equinox (i = 0°)(c) July 4 (i = 22°48')(d) What do
Approximate the number of hours of daylight in Anchorage, Alaska (61°10' north latitude), for the following dates:(a) Summer solstice (i = 23.5°)(b) Vernal equinox (i = 0°)(c) July 4 (i =
Approximate the number of hours of daylight in Honolulu, Hawaii (21°18' north latitude), for the following dates:(a) Summer solstice (i = 23.5°)(b) Vernal equinox (i = 0°)(c) July 4 (i =
Approximate the number of hours of daylight in New York, New York (40°45' north latitude), for the following dates:(a) Summer solstice (i = 23.5°)(b) Vernal equinox (i = 0°)(c) July 4 (i =
Approximate the number of hours of daylight in Houston, Texas (29°45' north latitude), for the following dates:(a) Summer solstice (i = 23.5°)(b) Vernal equinox (i = 0°)(c) July 4 (i =
Find the exact solution of equation.5 sin-1 x – 2π = 2 sin-1x - 3π
Find the exact solution of equation.4 cos-1 x – 2π = 2 cos-1 x
Find the exact solution of equation.-4 tan-1 x = π
Find the exact solution of equation.3 tan-1 x = π
Find the exact solution of equation.-6 sin-1(3x) = π
Find the exact solution of equation.3 cos-1(2x) = 2π
Find the exact solution of equation.2 cos-1 x = π
Find the exact solution of equation.4 sin-1 x = π
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. 2 S(x) = 2 cos(3x + 2): –sxs+ 3
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. TT f(x) = 3 sin(2.x + 1);– %3D 4 4.
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. f(x) = cos(x + 2) + 1; –2 SIST- 2
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. |f(x) = -tan(x + 1) – 3; –1 - т х 2 2
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. f(x) = 3 sin(2x);- s xs 4 4
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. f(x) = -2 cos(3x);0 < x < 3
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. TT 3;- f(x) = 2 tan x %3D 티2
Find the inverse function f-1 of function f. Find the range of f and the domain and range of f-1. f(x) = 5 sin x + 2; 2
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.sin[sin-1 (-1.5)]
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.tan(tan-1 π)
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.sin[sin-1(-2)]
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.cos(cos-11.2)
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.tan[tan-1(-2)]
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator.tan(tan-1 4)
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. 3. cos cos
Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. sin sin 4
Find the exact value of expression. Do not use a calculator. 4т tan 5 tan
Find the exact value of expression. Do not use a calculator. tan tan 3 an
Find the exact value of expression. Do not use a calculator. cos 3 Cos
Find the exact value of expression. Do not use a calculator. 97 sin sin SI
Find the exact value of expression. Do not use a calculator. Зт sin sin
Find the exact value of expression. Do not use a calculator. Зт tan tan
Find the exact value of expression. Do not use a calculator. sin 10 sin
Find the exact value of expression. Do not use a calculator. 47 Cos 5 cos
Use a calculator to find the value of expression rounded to two decimal places.sin-1 √3/5
Use a calculator to find the value of expression rounded to two decimal places.cos-1 √2/3
Use a calculator to find the value of expression rounded to two decimal places.cos-1(-0.44)
Use a calculator to find the value of expression rounded to two decimal places.sin-1(-0.12)
Use a calculator to find the value of expression rounded to two decimal places.tan-1(-3)
Use a calculator to find the value of expression rounded to two decimal places.tan-1(-0.4)
Use a calculator to find the value of expression rounded to two decimal places.sin-1 1/8
Use a calculator to find the value of expression rounded to two decimal places.cos-1 7/8
Use a calculator to find the value of expression rounded to two decimal places.tan-1 0.2
Use a calculator to find the value of expression rounded to two decimal places.tan-1 5
Use a calculator to find the value of expression rounded to two decimal places.cos-1 0.6
Use a calculator to find the value of expression rounded to two decimal places.sin-1 0.1
Find the exact value of expression.sin-1 (-√2/2)
Find the exact value of expression.cos-1 (-√3/2)
Find the exact value of expression.sin-1 (-√3/2)
Find the exact value of expression.tan-1 √3
Find the exact value of expression.tan-1 √3/2
Find the exact value of expression.sin-1 √2/2
Find the exact value of expression.tan-1(-1)
Find the exact value of expression.tan-1 0
Find the exact value of expression.cos-1(-1)
Find the exact value of expression.sin-1(-1)
Find the exact value of expression.cos-1 1
Find the exact value of expression.sin-1 0
True or Falsey = tan-1 x means x = tan y, where -∞ < x < ∞ and –π/2 < y π/2.
True or Falsesin(sin-1 0) = 0 and cos(cos-1 0) = 0.
True or FalseThe domain of y = sin-1 x is –π/2 ≤ x ≤ π/2.
Solved: tan(tan-1 x) = x where __________.
Solved: cos-1 (cos x) = x where _________.
Solved: y = sin-1 x means _________,where -1 ≤ x ≤ 1 and –π/2 ≤ y ≤ π/2.
Solved: sin(-π/6) _______; cos π = _______.
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