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


(Multiple Choice)
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A weight hanging on a spring will oscillate up and down about its equilibrium position after it's pulled down and released. This is an example of simple hormonic motion. This motion would continue forever if there wasn't any friction or air resistance. Simple harmonic motion can be described with the function
Where A is the amplitude, t is the time in seconds, m is the mass and k is a constant particular to that spring. If a spring is measured in centimeters and the weight in grams, then what are the amplitude and mass if
Amplitude: _____cm.
Mass: ______ g.


(Multiple Choice)
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State the domain and range of the function.
y = -7 sec (4 x)
Domain = __________
Range = ___________
(Short Answer)
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Use the unit circle and the fact that the sine is an odd function and the cosine is an even function to find the exact value of cos (-300°)
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Use the unit circle and the fact that the sine is an odd function and the cosine is an even function to find the exact value of sin


(Multiple Choice)
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Find the exact value of sec
Using the unit circle. Rationalize the denominator, if necessary.

(Multiple Choice)
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Atmospheric Temperature. The average daily temperature in Peoria, Illinois, can be approximated by the equation
where x is the number of days since December 31 of the previous year (Ex: January 1, x = 1; Mar 1, x = 60), and T is in degrees Fahrenheit. What is the expected temperature on July 4th, assuming it is not a leap year? Round your answer to one decimal place.

(Short Answer)
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State the amplitude, period, and phase shift of the function.
Y =


(Multiple Choice)
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Use the unit circle and the fact that the sine is an odd function and the cosine is an even function to find the exact value of cos


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