Exam 5: Trigonometric Functions of Real Numbers
Exam 1: Functions and Their Graphs137 Questions
Exam 2: Polynomial and Rational Functions141 Questions
Exam 3: Exponential and Logarithmic Functions137 Questions
Exam 4: Trigonometric Functions of Angles261 Questions
Exam 5: Trigonometric Functions of Real Numbers151 Questions
Exam 6: Analytic Trigonometry267 Questions
Exam 7: Vectors, the Complex Plane, and Polar Coordinates225 Questions
Exam 8: Systems of Linear Equations and Inequalities181 Questions
Exam 9: Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations230 Questions
Exam 10: Sequences and Series124 Questions
Exam 11: Limits: A Preview to Calculus122 Questions
Exam 12: Review: Equations and Inequalities244 Questions
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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
is the angle of the vertex of the cone, then
sin
where V is the speed of the plane and M is the mach number, then what is the mach number if the plane is flying at 891 m/sec.?
mach number is __________ .


(Short Answer)
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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
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 plane is flying atmach2.6? Round to the nearest meter.Speed of the plane is __________ m/sec.


(Short Answer)
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Graph the function
over the interval [-16, 16] where 8 is the period of the function.
![Graph the function over the interval [-16, 16] where 8 is the period of the function.](https://storage.examlex.com/TB10663/11eed1b2_5782_d54c_a8a5_e14985ff27e4_TB10663_00.jpg)
(Short Answer)
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State the amplitude and period of the sinusoidal function.
y = 4 sin 7 x
Amplitude _________
Period ___________
(Short Answer)
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State the domain and range of the function.
y = cot
Domain = _____________
Range = _____________

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Use the unit circle to find all the exact values of that make cos =
In the interval


(Multiple Choice)
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