sample-exam 3

sample-exam 3 - answer to two decimal places. 8. Let u = 3...

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Sample Exam for Exam 3 1. Use a calculator to evaluate tan - 1 ( - 1 . 6). Give your answer in radians and round to four decimal places. 2. Without using a calculator, ﬁnd the exact value of tan ( cos - 1 ( - 2 5 ) ) . 3. Without using a calculator, ﬁnd the exact value of sin - 1 ( sin( 8 π 7 ) ) . ( Hint: The answer is not 8 π 7 . Check the the domain and range of sin - 1 ( x ).)

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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 sin( π 3 ) = 1 2 .] 5. Find all solutions to the equation 1 1 + tan( x ) = 1 2 with - 3 x 3. Answer in radians [It may help to remember that tan( π 4 ) = 1.]
6. The ﬁgure shows a triangle with certain angles and distances marked. Find the length of side c correct to one decimal place. 134 c 3 . 2 ft 4 . 5 ft 7. Find the area of the triangle with the measurements a = 4 m, b = 4 m, and c = 6 m. Round your

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Unformatted text preview: answer to two decimal places. 8. Let u = 3 i-2 j and v =-i + 3 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 of u and v . 9. A triangle has the measurements a = 7, b = 12, and α = 27 ◦ . (a) Make a (reasonably accurate) sketch of one possible triangle that ﬁts these measurements. Label all known and unknown sides and angles appropriately. (b) How many triangles ﬁt the given measurements? Find β for each possible triangle. Answer in degrees to the nearest degree. (c) Find c for each possible triangle. Round your answers to one decimal place....
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This note was uploaded on 12/15/2011 for the course MATH 1613 taught by Professor Kwon during the Fall '08 term at Oklahoma State.

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sample-exam 3 - answer to two decimal places. 8. Let u = 3...

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