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mathematics
precalculus

Questions and Answers of Precalculus

Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function.y = -4 cot(2x)
Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function. x + y = cot + 4
Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function.y = 4 tan(2x)
Graph the function. Graph should contain at least two periods. Use the graph to determine the domain and the range of function.y = -2 tan(3x)
Suppose that a fire truck is parked in front of a building as shown in the figure.The beacon light on top of the fire truck is located 10 feet from the wall and has a light on each side. If the
Two hallways, one of width 3 feet, the other of width 4 feet, meet at a right angle. See the illustration.(a) Show that the length L of the line segment shown as a function of the angle θ
Graph each function. 0 < x < T cscx 8(x) = {0 cot x T < x < 2n
Graph each function. TT tan x 0s x < 2 f(x) = 2 secx 2.
Find (f ° g)(x) and (g ° f)(x) and graph each of these functions.f(x) = 1/2 xg(x) = 2 csc x
Find (f ° g)(x) and (g ° f)(x) and graph each of these functions.f(x) = -2x g(x) = cot x
Find the exact value of the remaining trigonometric functions.tan θ = -2, 3π/2 < θ < 2π
Find the exact value of the remaining trigonometric functions.cot θ = -2, π/2 < θ < π
Find the exact value of the remaining trigonometric functions.csc θ = -4, π < θ < 3π/2
Find the exact value of the remaining trigonometric functions.tan θ = -2, 3π/2 < θ < 2π
Find the exact value of the remaining trigonometric functions.tan θ = -2/3, 90° < θ < 180°
Find the exact value of the remaining trigonometric functions.tan θ = 1/3, 180° < θ < 270°
According to the Old Farmer's Almanac, in Honolulu, Hawaii, the number of hours of sunlight on the summer solstice of 2010 was 13.43 and the number of hours of sunlight on the winter solstice was
According to the Old Farmer's Almanac, in Anchorage, Alaska, the number of hours of sunlight on the summer solstice of 2010 was 19.42 and the number of hours of sunlight on the winter solstice was
According to the Old Farmer's Almanac, in Detroit, Michigan, the number of hours of sunlight on the summer solstice of 2010 was 15.30, and the number of hours of sunlight on the winter solstice was
What is the range of the cosecant function?
In problem, f(x) = sin x, g(x) = cos x, h(x) = 2x, and p(x) = x/2. Find the value of each of the following:(f ° h)(π/6)
An engineer is asked to design a water sprinkler that will cover a field of 100 square yards that is in the shape of a sector of a circle of radius 15 yards.Through what angle should the sprinkler
The following data represent the average monthly temperatures for Baltimore, Maryland.(a) Draw a scatter diagram of the data for one period.(b) Find a sinusoidal function of the form y = A sin(ωx
What is the range of the secant function?
What is the range of the cotangent function?
What is the range of the tangent function?
What is the range of the cosine function?
What is the range of the sine function?
For what numbers θ is f(0) = csc θ not defined?
F(θ) = sin θ and g(θ) = cos θ. Find the exact value of each function below if θ = 60°. Do not use a calculator.[f(θ)]2
F(θ) = sin θ and g(θ) = cos θ. Find the exact value of each function below if θ = 60°. Do not use a calculator.g(θ/2)
F(θ) = sin θ and g(θ) = cos θ. Find the exact value of each function below if θ = 60°. Do not use a calculator.f(θ/2)
A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 135°. What area of lawn receives water? 135° 30 ft
Find the area of the sector of a circle of radius 3 centimeters formed by an angle of 60°. Round the answer to two decimal places.
Find the area of the sector of a circle of radius 4 meters formed by an angle of 45°. Round the answer to two decimal places.
A pendulum swings through an angle of 20° each second. If the pendulum is 40 inches long, how far does its tip move each second? Round answers to two decimal places.
The minute hand of a clock is 6 inches long. How far does the tip of the minute hand move in 15 minutes? How far does it move in 25 minutes? Round answers to two decimal places. 12 11 10 2 3 4 5
In problem, find the length s and area A. Round answers to three decimal places. 50° 9 cm
In problem, find the length s and area A. Round answers to three decimal places. 70° 12 yd
Find the length s and area A. Round answers to three decimal places. 4 m
Find the length s and area A. Round answers to three decimal places. 2 ft Klem
Graph each function. | 2sinx 8(x) : cosx + 1 7 < x< 2m %3D
Graph each function. (sin x 57 0 < x
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator.tan 200° ∙ cot 20°
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator.cos 400° ∙ sec 40°
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. cos 20° sin 20° cot 20°
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sin 40° tan 40° cos 40°
In problem, f(x) = sin x, g(x) = cos x, h(x) = 2x, and p(x) = x/2. Find the value of each of the following:(f ∙ g)(4π/3)
In problem, f(x) = sin x, g(x) = cos x, h(x) = 2x, and p(x) = x/2. Find the value of each of the following:(f ∙ g)(3π/4)
In problem, f(x) = sin x, g(x) = cos x, h(x) = 2x, and p(x) = x/2. Find the value of each of the following:f(f - g) (60°)
In problem, f(x) = sin x, g(x) = cos x, h(x) = 2x, and p(x) = x/2. Find the value of each of the following:f(f + g)(30°)
In problem, f(θ) = sin θ and g(θ) = cos θ. Find the exact value of each function below if θ = 60°. Do not use a calculator.g(-θ)
In problem, f(θ) = sin θ and g(θ) = cos θ. Find the exact value of each function below if θ = 60°. Do not use a calculator.f(-θ)
In problem, f(θ) = sin θ and g(θ) = cos θ. Find the exact value of each function below if θ = 60°. Do not use a calculator.2g(θ)
In problem, f(θ) = sin θ and g(θ) = cos θ. Find the exact value of each function below if θ = 60°. Do not use a calculator.2f(θ)
In problem, f(θ) = sin θ and g(θ) = cos θ. Find the exact value of each function below if θ = 60°. Do not use a calculator.g(2θ)
In problem, f(θ) = sin θ and g(θ) = cos θ. Find the exact value of each function below if θ = 60°. Do not use a calculator.f(2θ)
In problem, f(θ) = sin θ and g(θ) = cos θ. Find the exact value of each function below if θ = 60°. Do not use a calculator.[g(θ)]2
For what numbers θ is f(θ) = sec θ not defined?
For what numbers θ is f(0) = cot θ not defined?
For what numbers θ is f(θ) = tan θ not defined?
What is the domain of the cosine function?
What is the domain of the sine function?
Find the exact value of:cos 1° + cos 2° + cos 3° + … + cos 358° + cos 359°
Find the exact value of:sin 1° + sin 2° + sin 3° + … + sin 358° + sin 359°
If cot θ = -2, find the value of:cot θ + cot(θ - π) + cot(θ - 2π)
If tan θ = 3, find the value of:tan θ + tan(θ + π) + tan(θ + 2π)
If cos θ = 0.2, find the value of:cos θ + cos(θ + 2π) + cos(θ + 4 π)
If sin θ = θ.3, find the value of:sin θ + sin(θ + 2π) + sin(θ + 4π)
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sin 70° cos(-430°) + tan(-70°)
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. sin(-20°) + tan 200° cos 380°
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. 37 sec 18 CoS 18
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. 257 csc csc 12 12 sin
Find (f ° g)(x) and (g ° f )(x) and graph each of these functions.f(x) = -3xg(x) = sin x
Find (f ° g)(x) and (g ° f )(x) and graph each of these functions.f(x) = -2xg(x) = cos x
Find (f ° g)(x) and (g ° f )(x) and graph each of these functions. f(x) = cos x 8(x)
Find (f ° g)(x) and (g ° f )(x) and graph each of these functions.f(x) = sin xg(x) = 4x
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator.tan 10° cot 10°
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator.sin 80° csc 80°
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator.sec2 18° - tan2 18°
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator.sin2 40° + cos2 40°
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.csc(-π/3)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.sec(-π/6)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.sec(-π)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.csc(-π/4)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.sin(-3π/2)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.tan(-π)
Use the even–odd properties to find the exact value of each expression. Do not use a calculator.sin(-π/3)
In problem, use a calculator to find the approximate value of each expression rounded to two decimal places.tan π/10
In problem, use a calculator to find the approximate value of each expression rounded to two decimal places.cot 70°
In problem, use a calculator to find the approximate value of each expression rounded to two decimal places.sec 21°
In problem, use a calculator to find the approximate value of each expression rounded to two decimal places.cos 14°
In problem, use a calculator to find the approximate value of each expression rounded to two decimal places.sin 28°
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.-13π/6
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.-14π/3
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.5π
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.5π/2
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.-240°
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.-135°
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.– π/3

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