MAC1114Exam2 - of x 5t'nCg 8 6-nc 11 Find the exact value...

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MAC 1114 Trigonometry EXAM 2 PRINT NAME SIGNATURE 03/04/2010 Instructions: & This test consists of 13 questions. You are allowed 50 minutes for this exam. * SHOW ALL WORK CLEARLY TO RECEIVE FULL CREDIT. £ Before turning in this exam, check for any transcribing errors. Any mistakes you leave are there to stay. Jj» The answer will be posted on the course webpage after exam. For questions 1-6, match the function with its graph. b I . y = 2 sin a; 2. y 3. y 4. y 5. y cosx sec 2x tan f cscx 6. y = ^ c d Ci 7. Find the period and amplitude of y Amplitude = 3 A Period = —3 sin | + f
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8. sketch the graph of y = 2sin(x - J). Include two full periods. a) Amplitude= 2 b) Period= zn, c) The five key points are ( 4. » 0 )(-£$ j 2. XTTT -f ec: (J5 (d) graph.. Zlpts Qxjp- Evaluate the expression. & L 6 a) arctan •'• b) arccos(-|) = c) arcsin = - - d) arctan 0 = Q
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10. Use an inverse trigonometric function to write 9 as a function
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Unformatted text preview: of x. 5t'nCg 8 6-nc 11. Find the exact value of the expression. Write DNE if not possible. — arctan(tan |)-sin(arcsinTr) )(c)tan(arcsin(-f)) let " 3 ^ . <£) sin(arctan|^ ©-tan U ~ U ti f n a-' ^r\V 12. Write the following as an algebraic expression in x. tan(arccosj where 0 < x < 2-ten U-13. A passenger in an airplane at an altitude of 10 kilometers sees two towns directly to the east of the plane. The angles of depression to the towns are 30° and 45°. How far apart are the towns? JO |0 A B VW ftvft ita Ungtl R C ^ AC-Aft, . I^AADfc -c A6 AC , ton we rt &c =2? n--tan 60" "•-AC-A6-/ o 4...
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