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study help
mathematics
precalculus

Questions and Answers of Precalculus

Apply the methods of this and the previous section to graph each function. Be sure to label key points and show at least two periods. y = 3 csc 2x 4
In problem, find the exact value. Do not use a calculator.sin 11π/2
Find the value of the remaining five trigonometric functions of θ. 12 tan 0
In problem, draw each angle.16π/3
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 cot x
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.sin 9π/4
Apply the methods of this and the previous section to graph each function. Be sure to label key points and show at least two periods.y = 1/2 cot(2x - π)
Find the value of the remaining five trigonometric functions of θ. 2 Зт
In problem, P = (x, y) is the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.(-√5/3, -2/3)
In problem, draw each angle.-2π/3
Determine the amplitude and period of each function without graphing. Зп X. 2 cos y = 5
Find the exact value of expression. Do not use a calculator.cos 540° - tan(-405°)
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 cot x
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.cos 33π/4
Apply the methods of this and the previous section to graph each function. Be sure to label key points and show at least two periods.y = 2 tan(4x – π)
Find the value of the remaining five trigonometric functions of θ.Sin θ = 5/7, θ in quadrant II
In problem, P = (x, y) is the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.(2√2/3, -1/3)
Determine the amplitude and period of each function without graphing. 2т 5 |y =-sin 3 X.
Find the exact value of expression. Do not use a calculator. csc CoS
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.sec 420°
Write the equation of a sine function that has the given characteristics.Amplitude: 2Period: πPhase shift: -2
If f(x) = sin x and f(a) = 3/5, find f(-a).
In problem, P = (x, y) is the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.(√2/2, √2/2)
In problem, draw each angle.4π/3
Determine the amplitude and period of each function without graphing. -sin 3
Find the exact value of expression. Do not use a calculator.tan π + sin 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.y = 3 tan x
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.cot 390°
In problem, P = (x, y) is the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.(-√2/2, √2/2)
Fill in each table entry with the sign of each function. cot 0 sin 0 tan 0 cos 0 csc e sec 0 O in QI O in QII O in QIII O in QIV
In problem, draw each angle.3π/4
Find the exact value of expression. Do not use a calculator. Зт cot 4 4 csc 4 4.
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.sec 540°
Write the equation of a sine function that has the given characteristics.Amplitude: 3Period: π/2Phase shift: 2
In problem, P = (x, y) is the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.(-1/5, 2√6/5)
Use a calculator to evaluate expression. Round your answer to three decimal places.cot 28π/9
In problem, draw each angle.540°
Determine the amplitude and period of each function without graphing.y = -3 cos(3x)
Find the exact value of expression. Do not use a calculator. TT sec 3 (-) cot 4
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.csc 450°
Write the equation of a sine function that has the given characteristics.Amplitude: 2Period: πPhase shift: 1/2
In problem, P = (x, y) is the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.(-2/5, √21/5)
Use a calculator to evaluate expression. Round your answer to three decimal places.sec 229°
In problem, draw each angle.450°
Determine the amplitude and period of each function without graphing.y = 6 sin(πx)
Find the exact value of expression. Do not use a calculator. 2т 3 sin 5 4 cos 3 2.
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.sin 390°
Find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. + —2х у %3D —3 сos т 2
In problem, P = (x, y) is the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.(1/2, -√3/2)
Use a calculator to evaluate expression. Round your answer to three decimal places.cos 2π/5
In problem, draw each angle.-120°
Determine the amplitude and period of each function without graphing. y = -sin
Find the exact value of expression. Do not use a calculator. TT Зт 6 cos + 2 tan 3
Find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y = - 3 sin -2x +
In problem, P = (x, y) is the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.(√3/2, 1/2)
Use a calculator to evaluate expression. Round your answer to three decimal places.sin 17°
Find a sinusoidal function for the following graph. 3. -6 6 -3
In problem, draw each angle.135°
Determine the amplitude and period of each function without graphing.y = -4 cos(2x)
Find the exact value of expression. Do not use a calculator. 4 cos 60° + 3 tan 3
For what numbers x, -2π ≤ x ≤ 2π, does csc x = 1? For what numbers x does csc x = -1?If necessary, refer to the graphs to answer each question.
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.cos 420°
Find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods.y = 2 cos(2πx – 4) - 1
True or FalseExact values can be found for the sine of any angle.
In problem, draw each angle.60°
Find an exponential function for the following graph. Express your answer in the form y = Abx. (1, 6) 4 2 (0, 2) y = 0 -6 -4 -2 4 6 X
Determine the amplitude and period of each function without graphing.y = 3 cos x
For what numbers x, -2π ≤ x ≤ 2π, does sec x = 1? For what numbers x does sec x = -1? If necessary, refer to the graphs to answer each question.
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.sin 405°
Find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods.y = 3 cos(πx – 2) + 5
Find the exact value of each expression. 197 tan sin 4
For any angle θ in standard position, let P = (x, y) be the point on the terminal side of 0 that is also on the circle x2 + y2 = r2. Then, sin θ = _______ and cos θ = _______.
In problem, draw each angle.30°
Find the exact value of tan π/4 - 3 cos π/6 + csc π/6.
Determine the amplitude and period of each function without graphing.y = 2 sin x
Find the exact value of expression. Do not use a calculator. Cos cos 3 + sin
What is the y-intercept of y = csc x? If necessary, refer to the graphs to answer each question.
True or Falsesec θ = 1/sin θ
Find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods.y = 2 cos(2πx + 4) + 4
Find the exact value of each expression.tan 330°
The point on the unit circle that corresponds to θ = π/3 is P = ______.
True or False For circular motion on a circle of radius r, linear speed equals angular speed divided by r.
g(x) = cos x(a) What is the y-intercept of the graph of g?(b) For what numbers x, -π ≤ x ≤ π, is the graph of g decreasing?(c) What is the absolute minimum of g?(d) For what numbers x, 0 ≤ x
Find the exact value of expression. Do not use a calculator. sin tan
sin2 θ + cos2 θ = _______.
Find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods.y = 4 sin (πx + 2) - 5
Find the exact value of each expression.cos(-120°)
The point on the unit circle that corresponds to θ = π/4 is P = _______.
True or FalseThe angular speed ω of an object traveling around a circle of radius r is the angle θ (measured in radians) swept out, divided by the elapsed time t.
f(x) = sin x(a) What is the y-intercept of the graph of f?(b) For what numbers x, -π ≤ x ≤ π, is the graph of f increasing?(c) What is the absolute maximum of f?(d) For what numbers x, 0 ≤ x
Convert angle in radians to degrees.-3π/2
True or FalseThe graph of the sine function has infinitely many x-intercepts.
What is the y-intercept of y = cot x? If necessary, refer to the graphs to answer each question.
True or FalseThe only even trigonometric functions are the cosine and secant functions.
Find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y = -2 cos 2.x 2
Find the exact value of each expression. 5п cos Зт cos 4 4
The point on the unit circle that corresponds to θ = π/2 is P = _____.
An object travels around a circle of radius r with constant speed. If s is the distance traveled in time t around the circle and θ is the central angle (in radians) swept out in time t, then the
Find the inverse function of f(x) = 3x - 2.
Convert angle in radians to degrees.-5π/2

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