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Reworked Part (Exam3)

# Reworked Part (Exam3) - c correct to one decimal place 129...

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Math 1613.002, Fall 2011 Reworked Part of Exam 3 Due Date: 12/7/2011 Name (Print): —————————————————————– Note: You must show your work very carefully to receive credit. Staple to submit. 1. Use a calculator to evaluate cos 1 (0 . 3). Give your answer in radians and round to four decimal places. 2. Without using a calculator, find the exact value of tan ( sin 1 ( 3 7 ) ) . 3. Without using a calculator, find the exact value of sin 1 ( sin( 6 π 5 ) ) . (Hint: The answer is not 6 π 5 ).

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4. Find the exact values of all solutions to the equation cos( x ) = 1 2 . Answer in radians. [It may help to remember that cos( π 4 ) = 1 2 .] 5. Find all solutions to the equation 1 1 + sin( x ) = 2 3 with 0 x 2 π . [It may help to remember that sin( π 6 ) = 1 2 .]
6. The figure shows a triangle with certain angles and distances marked. Find the length of side

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Unformatted text preview: c correct to one decimal place. 129 ◦ c 3 . 5 ±t 5 . 1 ±t 7. Let u = 4 i-3 j and v =-2 i + j . (a) Find u + v . (b) Find | u | . (c) Sketch and label the vectors u , v , and u + v on the grid shown below. Place them in an arrangement that illustrates that u + v is the resultant o± u and v . 8. A triangle has the measurements a = 8, b = 13, and α = 31 ◦ . (a) Make a (reasonably accurate) sketch of one possible triangle that Fts these measurements. Label all known and unknown sides and angles appropriately. (b) How many triangles Ft the given measurements? ±ind β for each possible triangle. Answer in degrees to the nearest degree. (c) ±ind c for each possible triangle. Round your answers to one decimal place. 15...
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