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' Precalculus - Chapter 5 Practice Test Name On the circle below the angle measures in degrees (interior boxes) and radians (exterior boxes). v 1oo 6 -17 t oupooo lg0" o,An 330" ew" 2.Ír 2 Co 0 the table: sin 0 exact values cos 0 tan 0 00 30" 450 600 Ò \ I2 92 E2 E 7 \Ír o vz -3 .-:? \ -L {5 900 Ò CN Precalculus - Chapter 5 Practice \^"^Å.çt^"å 2012-13 For I - 6, indicate the letter next to the graph a. for the appropriate function. b. v r -l 1. f(x) =.o1 * c. 2rx 7f -l AI d. e.y v f.y f(x) = sin 3. f(x) = sec x 4. f(x) = cos ô x L- 5. f(x) = csc f\, x L. 6. f(x) = 1"o i\ 2tx x x û' 2. tf -1 t I 7. Identify the reference angle d of- 8. Find the arc length s shown in the figure (the larger angle). 54o. o 5 7 8. 31 ,l IL (round to 2 decimal places) 530 9- The point ( 6, - 3 ) is on the terminal side of an angle, 0 (see figure below). Find the following: 6 9. a) sin 0 + (exact value) a) -3 (6, - 3) b) c) 15 { -----:-': ,4,J5 CN Precalculus - Chapter 5 practice sin 0 L{Ç cos 0 tan 0 ø c. {ç 2,f+ b) cos 0 (exact value) c) tan 0 (exact value) vz VCs 2012-t3 10. ( å * tt0" ) - Given y- a) Amplitude a) b) Period b) +* c) Domain c) (- d) Range -3slr,* 10. t,findrhefoltowing: 3 1TDo O[-( æ - \ -+] É,r, b 11. Øl 11 Using the right triangle, find the exact value sec d. 9 4 0 2 13 Find the exact value of csc 12. 2 Find the distance between the two cities given the following latitudes. Assume the radius of the earth is 6371 kilometers. Ilammerfest, Norway Athens, Greece 14. 11. 3 13. (round to nearest kilometer) 700 3g North 370 5g North Find the exact value of the six trigonometric functions of 0 = 315" 14. sin 0 ,lZ -7 \ø- cos 0 2- tan 0 csc 0 CN Precalculus - Chapter 5 practice sec 0 utp -l-2 Y /-- tI 2012-t3 cot 0 The radii of the sprocket assemblies and the wheel of a bicycle are 9 inches,3 inches, and 15 inches, respectively. If the cyclist is pedaling at a rate of I revolution per second, find the speed of the bicycle in feet per second. 15. I (round to the ne¡rest tenth) ,,{ H J (Not drawn to scale) 16. Find the exact value 17. Find the exact value of cot 0 given: CN Precalculus - of Chapter 5 practice sin 30" i tan 45ô cosO = + -+ cos 120" + sin 270" r0inquadrantllf. IÁ 17 2012-t3 10. Given y - -3sin (I a) Amplitude b) Period c) Domain d) Range 11. + 180' 10. ) -t,findthefoltowing: 3 a) w@ rf"fr 2j\ öß.. "(> d b) 3øo ( -cê/- c) Cto lZ _1 ü ffi& 11 Using the right triangle, fînd the exact value ) sec 9. 9 4 (ø-ç ñç 2. 13 Find the exact value of csc Find the distance between the two cities given the following latitudes. Assume the radius of the earth is 6371 kilometers. Hammerfest, Norway Athens, Greece 14. I7 f. Ç37 13. (round to nearest kilometer) 70o 38'North 37o 58r North Find the exact value of the six trigonometric functions of 0 = 315" 14. sin 0 cos 0 tan 0 {--z Z VL -= t csc 0 CN Precalculus - Chapter 5 practice sec 0 cot+ ,17 2012-t3 cot 0 The radii of the sprocket assemblies and the wheel of a bicycle are 9 inches,3 inches, and 15 inches, respectively. If tþpcyclist is pedaling tt a rate of I revolution per second, find the speed of the bicycle in feet per second. 15. l5 'T a (round to the nearest 3 ( rv)C:*) | ?-' H 3u (Not drawn to scale) 16. 17. Find the exact value of sin 30o t X'ind the exact value of cot 0 given: * tan 45ô +- + cos 120" + t çk!) coso = -45 sin 270" 16. -( il ,0 in quadrant III. 17 -2. 5 a CN Precalculus - Chapter 5 practice 20t2-13