Exam 5: Trigonometric Functions of Real Numbers

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

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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 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. 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 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. Amplitude: _____cm. Mass: ______ g.

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

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Find the exact value of cos Find the exact value of cos     using the unit circle. using the unit circle.

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State the domain and range of the function. y = -7 sec (4 x) Domain = __________ Range = ___________

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Select the answer that cannot be the value of cot Select the answer that cannot be the value of cot

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Match the graph of the sine function to the equation over Match the graph of the sine function to the equation over      Match the graph of the sine function to the equation over

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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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Find the exact value of tan Find the exact value of tan

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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 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

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Find the exact value of sec Find the exact value of sec   Using the unit circle. Rationalize the denominator, if necessary. Using the unit circle. Rationalize the denominator, if necessary.

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Atmospheric Temperature. The average daily temperature in Peoria, Illinois, can be approximated by the equation 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. 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.

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

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Sketch the graph of the function Sketch the graph of the function      ,     . , Sketch the graph of the function      ,     . .

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Sketch the graph of the function Sketch the graph of the function      , over the interval     . , over the interval Sketch the graph of the function      , over the interval     . .

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Sketch the graph of the function Sketch the graph of the function      ,     . , Sketch the graph of the function      ,     . .

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

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