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NAME-------------~~:~·~~~~~---1 DATE----------- PERIOD Chapter 6 Test. Form 2C lT! 1. Change 405° to radian measure in terms of 7r. 1. 4 2. Change ~; radians to degree measure. 2. 15() 3. Determine the angular velocity if 88 revolutions are completed in 5 seconds. Round to the nearest tenth. 3. 1.\0,~ n._J_"'~,!s 4. Determine the linear velocity of a point rotating at an angular velocity of 77r radians per second at a distance of 10 feet from the center of the rotating object. Round to the nearest tenth. 4. J\1c9\t/s Los-,.:._ I~ ,., 5. The second hand of a clock is 10 inches long. Find the linear velocity of the tip of the second hand. 5. c, J. '11 ,.., I~.:._ 6. Find the length of the arc intercepted by a central angle of ; radians on a circle of radius 8 inches. 6. r-v 3, \ ,~ 7. Find the area of a sector if the central angle measures ; radians and the radius of the circle is 9 meters. 8. Write an equation of the sine function with amplitude 2, period 57r, phase shift -;, and vertical shift 3. (') 8. '! _+"\ - - ol ,, ~ n TT Tl'\-t3. ·'\-'-ts:J 5 9. Write an equation of the tangent function with period 37r, phase shift -7r, and vertical shift 2. 10. State the amplitude, period, phase shift, and vertical shift fory =~sin (2x- ~). 3 3) -:J 11. State the period, phase shift, and vertical shift for y =tan (3x - 7r) - 2. 11. - - - - - - - - 12. Write the equation for the inverse of y = Arccos (x - 5). 12. '\-::. 13. Evaluate tanG Cos- 1 0). 13. _ _\.!______ _ © Glencoe/McGraw-Hill 143 Co:-. X. + 5' Advanced Mathematical Concepts NAME ____________________ DATE-------- PERIOD _ __ Chapter 6 Test. Form 2C (continued) The average monthly temperatures in degrees Fahrenheit for the Spokane International Airport, in Washington, are given below. 14. Write a sinusoidal function that models the monthly temperatures in Spokane, using t = 1 to represent January. 15. According to your model, what is the average temperature in March? Graph each function. 16. y = cos x for ~ < x :5 s' (\. 15. y 1 s; 16. 0 < x :5 ~ 17. 21T X '" ' s; ~ \:/ -1 17. y = tan x for- c 'Sl . ::, 111T I j.t,. ~if 0 I \ I I I ' t , "";' I l I I y 18.y = 3 sin(~) 3 2 1 18. X .ly \)''1 U I I 1~. y = sec (x - 'lT) +3 6 5 4 '3 19. 12 11 -'lT ~JI h I 1 ' ' I I 1 e I 1 II ~~. :(\ 'lT t :12'lT I I ' y ~) 20. y = Arcsin x 20. -i~O 1 X • -~ Bonus Evaluate tan (Arccos~)· © Glencoe/McGraw-Hill Bonus: 144 Advanced Mathematical Concepts