LARSON CALCULUS Ch08 Trigonometric Functions

1. Determine itwo icoterminal iangles i(one ipositive iand ione inegative) ifor ieach iangle. iGive ithe ianswers iin iradians. A) positive: negative: B) positive: negative: C) positive: negative: D) positive: negative: E) positive: negative: Ans: D 2. Find ithe iradian imeasure iof ithe igiven iangle. i 150o A) B) C) D) E) Ans: D 3. Find ithe iradian imeasure iof ithe igiven iangle. i 750o A) B) C) D) E) Ans: B 4. Find ithe idegree imeasure iof ithe igiven iangle. i A) 50.0o B) 315.0o C) 51.4o D) 102.9o E) 100.3o Ans: B 5. Solve ithe itriangle ifor ithe iindicated iside iand iangle. A) angle i 60 side i B) angle i 30 side i C) angle i 45 side i D) angle i 60 side i E) angle i 40 side i Ans: B 6. Solve ithe itriangle ifor ithe iindicated iangle. A) angle i 40 B) angle i 90 C) angle i 140 D) angle i 50 E) angle i 130 Ans: D 7. Solve ithe itriangle ifor ithe iindicated iside. A) side i B) side i C) side i D) side i E) side i Ans: C 8. Find ithe iarea iof ithe iequilateral itriangle iwith isides iof ilength i in. iRound iyour ianswer ito itwo idecimal iplaces. A) 6.00 isquare iinches B) 27.71 isquare iinches C) 6.93 isquare iinches D) 8.00 isquare iinches E) 24.00 isquare iinches Ans: C 9. A iguy iwire iis istretched ifrom ia ibroadcasting itower iat ia ipoint i300 ifeet iabove ithe iground ito ian ianchor i175 ifeet ifrom ithe ibase i(see ifigure). iHow ilong iis ithe iwire? A) 347.31 ifeet B) 173.66 ifeet C) 243.67 ifeet D) 121.83 ifeet E) 237.50 ifeet Ans: A 10. A icompact idisc ican ihave ian iangular ispeed iup ito i3160 iradians iper iminute. iAt ithis iangular ispeed, ihow imany irevolutions iper iminute iwould ithe iCD imake? iRound iyour ianswer ito ithe inearest iinteger. A) 123 B) 144 C) 923 D) 503 E) 72 Ans: D 11. A isector iof ia icircle iis ithe iregion ibounded iby itwo iradii iof ithe icircle iand itheir iintercepted iarc i(see ifigure). For ia icircle iof iradius the iarea of ia isector iof ithe icircle iwith icentral iangle (measured iin iradians) iis igiven iby . A isprinkler isystem ion ia ifarm iis iset ito ispray iwater iover ia idistance iof i ifeet iand irotates ithrough ian iangle iof i . iUse ithe iabove igiven iinformation ito ifind ithe iarea iof ithe iregion. iRound iyour ianswer ito itwo idecimal iplaces. A) 2828.57 B) 257.14 C) 2700.00 D) 1414.29 E) 9900.00 Ans: A 12. Find ithe icosine iof i . i i A) B) C) D) E) Ans: A 13. Find i ifrom ithe igiven igraph. i i A) B) C) D) E) Ans: C 14. Find ithe icosine iof i . i i A) B) C) D) E) Ans: B 15. Find ithe icosine iof i . i i A) B) C) D) E) Ans: E 16. From ithe igiven ifunction i , ifind ithe ifollowing itrigonometric ifunction. A) B) C) D) E) Ans: C 17. Find i igiven ithat i iand i . A) B) C) D) E) Ans: C 18. Determine ithe iquadrant iin iwhich i ilies iif i isin iq i i i0 iand icos iq i i i0. A) third iquadrant i B) second iquadrant C) fourth iquadrant D) first iquadrant E) first ior ithird iquadrants i Ans: B 19. Evaluate iwithout iusing ia icalculator. i i A) B) C) D) E) 0 Ans: A 20. Evaluate iwithout iusing ia icalculator, ileaving ithe ianswers iin iexact iform. i i A) B) C) 0 D) –1 E) Ans: A 21. Evaluate iwithout iusing ia icalculator, ileaving ithe ianswers iin iexact iform. i i A) B) C) 0 D) E) Ans: E 22. Approximate iusing ia icalculator i(set ifor iradians). iRound ianswers ito itwo idecimal iplaces. A) 0.78 B) 0.14 C) –0.62 D) –0.99 E) –1.00 Ans: B 23. Use ia icalculator ito ievaluate ithe itrigonometric ifunction i ito ifour idecimal iplaces. A) –1.3504 B) –5.6713 C) –0.7405 D) 0.9848 E) –0.1763 Ans: D 24. Find itwo ivalues iof iq i ithat isatisfy ithe iequation ibelow. iGive ivalues iof iq i iin iradians i . iDo inot iuse ia icalculator. cos iq i i= i A) i B) , i C) D) i E) i Ans: B 25. Find itwo ivalues iof iq i ithat isatisfy ithe iequation ibelow. iGive ivalues iof iq i iin iradians i . iDo inot iuse ia icalculator. sin iq i i= i A) i B) i C) , i D) i E) i Ans: C 26. Solve ithe iequation ifor i i . iFor isome iof ithe iequations iyou ishould iuse ithe itrigonometric iidentities ilisted iin ithis isection. iUse ithe itrace ifeature iof ia igraphing iutility ito iverify iyour iresults. A)