Exam 5: Trigonometric Functions of Real Numbers

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Find the exact value of cot Find the exact value of cot

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What is the frequency for the oscillation modeled by y = 5 sin What is the frequency for the oscillation modeled by y = 5 sin      Frequency is __________ cycles per second Frequency is __________ cycles per second

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The angle of elevation from the top of a building 60 ft tall to the top of another building 90 ft tall is π\pi /8. What is the distance between the buildings? Round to nearest ft.

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Graph the function Graph the function      over the interval [-1/2π, 1/2π] where 1/4π is the period of the function. over the interval [-1/2π, 1/2π] where 1/4π is the period of the function.

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State the domain of the function. Y = -3 sec (14 x)

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Find the exact value of sin Find the exact value of sin

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Find the exact value of tan Find the exact value of tan   Using the unit circle. Using the unit circle.

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

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State the amplitude, period, and phase shift of the function. Y = State the amplitude, period, and phase shift of the function. Y =

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Match the graph of the function to its equation. Match the graph of the function to its equation.

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Match the graph of the function to its equation. Match the graph of the function to its equation.

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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 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 V is the speed of the plane and M is the   machnumber, then what is the speed of the plane if the cone angle is 60<sup>o</sup> <sup> </sup> Round to the nearest whole number.Speed of the plane is __________ m/sec<sup>.</sup> Is the angle of the vertex of the cone, then Where V is the speed of the plane and M is the 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 V is the speed of the plane and M is the   machnumber, then what is the speed of the plane if the cone angle is 60<sup>o</sup> <sup> </sup> Round to the nearest whole number.Speed of the plane is __________ m/sec<sup>.</sup> machnumber, then what is the speed of the plane if the cone angle is 60o Round to the nearest whole number.Speed of the plane is __________ m/sec.

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Find an equation for the graph. Find an equation for the graph.

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State the amplitude, period, and phase shift of the function. Y = State the amplitude, period, and phase shift of the function. Y =

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Find the exact value of sec Find the exact value of sec

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Find an equation of the graph. Find an equation of the graph.

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Graph the function Graph the function      over one period. over one period.

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Find an equation of the graph. Find an equation of the graph.

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Graph the function y = Graph the function y =     over one period. over one period.

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

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