Exam 5: Trigonometric Functions of Real Numbers

When an airplane flies faster than the speed of sound, the sound waves that are formed take on a cone shape, and where the cone hits the ground, a sonic boom is heard. If is the angle of the vertex of the cone, then where Vis the speed of the plane andMis themachnumber, then what is the speed of the plane if the cone angle is 60°. Round to the nearest whole number.Speed of the plane is __________ m/sec^.

(Short Answer)

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Question 41

State the amplitude and period of the sinusoidal function. y = sin 20 x Amplitude _ Period ___

(Short Answer)

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Question 42

State the amplitude and period of the sinusoidal function. Amplitude _ Period ___

(Short Answer)

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Question 43

Graph the function y = over one period.

(Short Answer)

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Question 44

Sketch the graph of the function , over the interval .

(Short Answer)

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Question 45

State the domain and range of the function. y = Domain = _ Range = ___

(Short Answer)

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Question 46

Find an equation of the graph.

(Multiple Choice)

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Question 47

Graph the function y = over one period.

(Short Answer)

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Question 48

If a sound wave is represented by y = , what is amplitude and frequency? Amplitude is cm Frequency is hertz

(Short Answer)

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Question 49

Select the answer that cannot be the value of tan

(Multiple Choice)

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Question 50

Match the graph of the function to its equation.

(Multiple Choice)

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Question 51

Match the graph of the sine function to the equation.

(Multiple Choice)

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Question 52

State the domain of the function. Y =

(Multiple Choice)

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Question 53

Find an equation for the graph.

(Short Answer)

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Question 54

Find an equation for the graph.

(Multiple Choice)

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Question 55

State the amplitude, period, and phase shift of the function. y = Amplitude = Period = Phase Shift = ___

(Short Answer)

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Question 56

Use the unit circle to find all the exact values of θ that make secθ = 2 in the interval

(Short Answer)

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Question 57

Find the exact value of cos Using the unit circle.

(Multiple Choice)

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Question 58

Find an equation for the graph.

(Short Answer)

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Question 59

State the amplitude, period, and phase shift of the function. y = Amplitude = Period = Phase Shift = ___

(Short Answer)

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Question 60

State the amplitude and period of the sinusoidal function. y = sin 20 x Amplitude _ Period ___

State the amplitude and period of the sinusoidal function. Amplitude _ Period ___

Graph the function y = over one period.

Sketch the graph of the function , over the interval .

State the domain and range of the function. y = Domain = _ Range = ___

Find an equation of the graph.

Graph the function y = over one period.

If a sound wave is represented by y = , what is amplitude and frequency? Amplitude is cm Frequency is hertz

Select the answer that cannot be the value of tan

Match the graph of the function to its equation.

Match the graph of the sine function to the equation.

State the domain of the function. Y =

Find an equation for the graph.

Find an equation for the graph.

State the amplitude, period, and phase shift of the function. y = Amplitude = Period = Phase Shift = ___

Use the unit circle to find all the exact values of θ that make secθ = 2 in the interval

Find the exact value of cos Using the unit circle.

Find an equation for the graph.

State the amplitude, period, and phase shift of the function. y = Amplitude = Period = Phase Shift = ___

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Exam 5: Trigonometric Functions of Real Numbers

State the amplitude and period of the sinusoidal function. y = sin 20 x Amplitude _________ Period ___________

State the amplitude and period of the sinusoidal function. Amplitude _________ Period ___________

Graph the function y = over one period.

Sketch the graph of the function , over the interval .

State the domain and range of the function. y = Domain = ___________ Range = _____________

Find an equation of the graph.

Graph the function y = over one period.

If a sound wave is represented by y = , what is amplitude and frequency? Amplitude is __________ cm Frequency is __________ hertz

Select the answer that cannot be the value of tan

Match the graph of the function to its equation.

Match the graph of the sine function to the equation.

State the domain of the function. Y =

Find an equation for the graph.

Find an equation for the graph.

State the amplitude, period, and phase shift of the function. y = Amplitude = ________ Period = __________ Phase Shift = _________

Use the unit circle to find all the exact values of θ that make secθ = 2 in the interval

Find the exact value of cos Using the unit circle.

Find an equation for the graph.

State the amplitude, period, and phase shift of the function. y = Amplitude = ________ Period = __________ Phase Shift = _________

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

State the amplitude and period of the sinusoidal function. y = sin 20 x Amplitude _ Period ___

State the amplitude and period of the sinusoidal function. Amplitude _ Period ___

State the domain and range of the function. y = Domain = _ Range = ___

If a sound wave is represented by y = , what is amplitude and frequency? Amplitude is cm Frequency is hertz

State the amplitude, period, and phase shift of the function. y = Amplitude = Period = Phase Shift = ___

State the amplitude, period, and phase shift of the function. y = Amplitude = Period = Phase Shift = ___