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### quiz_8_soln

Course: MA 253, Fall 2009
School: Wisc Platteville
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253 Math Quiz 8 April 9, 2009 Name: SOLUTIONS Show your work for full credit. 1. If sec x = -4 and sin x &gt; 0, find cot x. sec x = -4 and sin x &gt; 0 cos x = -1/4 and sin x &gt; 0. So, x is in Quadrant II. Using the Pythagorean Theorem we find that cot x = - 15. 2. Simplify (1 cos2 - ) csc as much as possible. 1 - cos2 csc = sin2 csc = sin2 1 - sin2 as much as possible. 3. Simplify csc2...

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253 Math Quiz 8 April 9, 2009 Name: SOLUTIONS Show your work for full credit. 1. If sec x = -4 and sin x > 0, find cot x. sec x = -4 and sin x > 0 cos x = -1/4 and sin x > 0. So, x is in Quadrant II. Using the Pythagorean Theorem we find that cot x = - 15. 2. Simplify (1 cos2 - ) csc as much as possible. 1 - cos2 csc = sin2 csc = sin2 1 - sin2 as much as possible. 3. Simplify csc2 - 1 1 - sin2 cos2 = = cos2 tan2 = sin2 2 2 ...

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