Algebra and Trigonometry

Mathematics

Quiz 7 :

Analytic Trigonometry

Quiz 7 :

Analytic Trigonometry

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If a mass that is attached to a spring is raised y 0 feet and released with an initial vertical velocity of v 0 ft / sec, then the subsequent position y of the mass is given by img where t is time in seconds and img is a positive constant. If y 0 = 2 and img = 2, find the initial velocities that result in an amplitude of 4 feet.
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C

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Express as a cofunction of a complementary angle. img
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A

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Express as a sum or difference. img
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E

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Find the exact value. img
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Find the exact values of img for the given values of img . img
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Tell whether the reduction formula is correct or incorrect. img
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On a cloudy day with D hours of daylight, the intensity of sunlight I (in calories/cm 2 ) may be approximated by img where t = 0 corresponds to sunrise and I m is the maximum intensity. If D = 12, approximately how many hours after sunrise is img ? Round your answer to two decimal places.
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Verify the identity. img
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Verify the identity. img
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The average monthly high temperature T (in img ) in Augusta, Georgia, can be approximated using the function img where t is in months and t = 1 corresponds to January. Calculate the average high temperature in July.
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A graph of img for img is shown in the figure. Find the exact values of the x-intercepts. img
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Find the solutions of the equation that are in the interval img img
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Verify the identity. img
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Verify the identity. img
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Verify the identity. img
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Find all solutions of the equation. img
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A graph of img for img is shown in the figure. Find the exact values of the x-intercepts. img
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Find the identity for the function. img
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Find the exact values of img for the given conditions. img
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Verify the identity. img
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