TEST 10: Radians and degrees, evaluating trig q

MQ5 home    Test 9    Test 11

MQ5 TEST 10A (answers below)                                                                 Mr. Gary Jaye

INSTRUCTIONS: 1 NO CALCULATORS        2 Label all graphs and axes.
                               3. Express all answers in simplest form and SHOW ALL WORK.

In 1 - 2, use the data given about the circle to express its equation in center-radius form. [2 each]

1. C(4, -5), radius = 11 units 
 
 		 2. Unit circle, C(0,0) 
 
 		 3. An alternate and important  equation of   the unit circle, C(0,0) is: 
 

 

4. Find the positive and negative angles closest to zero which are coterminal with an angle of 830°.    [5] 
 

In 5 - 12, convert to the other measure. [3 each]

5. 5p/3 9. 150° 
 
6. 7p/4 10. 135° 
 
7. 11p/6 11. 5p/12 
 
8. 240° 12. one radian 
 

13. The pendulum of a clock swings through an angle of 1.2 radians as its tip travels 36 inches. Find the  length of the  pendulum. [5]
 
 

14. Solve BY SKETCHING. Given that the terminal side of q contains (-2, 3); find cosq, tanq, and cscq.        [10]
 
 
 

15. Solve BY SKETCHING. Given cosq = -15/17 and tanq > 0; find sinq, cotq, secq. [10]
 
 

In 16 - 19 evaluate the expression (SHOW STEPS)

16. cos 0° + 2cos180° [6] 
 

 

 18. tan 180° [3] 
 
17. 2sin 90° - 3sin 270° [6] 
 
 		 19. sec 45° [3] 
 

20. Evaluate BY SKETCHING: sin 300°, cos 300°, tan 300° [11]
 
 
 

21. Evaluate BY SKETCHING: cot 210°, sec 210°, csc 210° [11]
 
 
 
 

ANSWERS:  1. (x - 4)2 + (y + 5)2 = 112 or 121  2. and 3. x2 + y2 = 1 and sin2q + cos2q = 1   4. 110°, -250°
5. 300°  6. 315°  7. 330°  8. 4p/3  9. 5p/6  10. 3p/4  11. 75°  12. (180/p)°  13. 30 inches
14. 2Ö(13)/13,  -3/2,  Ö(13)/3  15. -8/17, 15/8, -17/15   16. -1    17. 5   18. 0  19. Ö2  20. -Ö3/2, 1/2, -Ö3
21. Ö3,  -2Ö3/3, -2

MQ5 home    Test 9   Test 11