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1 Class: Date: Time: 100 minutes Test1 (100 Trigonometry) Instructor: Koshal Dahal SHOW ALL WORK, EVEN FOR MULTIPLE CHOICE QUESTIONS, TO RECEIVE FULL CREDIT. 1. Find the terminal point P (x, y) on the unit circle determined by t 1. Round each value to the nearest hundredth. a. ( 0.00, 1.00) b. (0.00, 1.00) c. (0.00, 1.00) d. (0.1, 1.14). The point P is on the unit circle. The x-coordinate of P is and P is in quadrant II. Find the point P (x, y). Ê a. ˆ, 4 Ê b. ˆ, 4 Ê c., ˆ Ê ˆ d., 4. Find the terminal point P (x, y) on the unit circle determined by t hundredth. a. (0.8, 0.0) b. ( 0.8, 0.0) c. ( 0.99, 0.4) d. ( 0.8, 0.0). Round each value to the nearest 4. Find the reference number for t 4. a. b. 4 c. 4 d. 4 1
2 . Find the terminal point P (x, y) and the reference number determined by t 19. Round the coordinates of the terminal point to the nearest hundredth, and express the reference number in terms of a. terminal point is ( 0.8, 0.0), reference number is b. terminal point is ( 0.8, 0.0), reference number is c. terminal point is (0.8, 0.0), reference number is d. terminal point is ( 0.8, 0.0), reference number is. Find the exact values of the trigonometric functions sin and cos. a. sin 1, cos 0 b. sin 1, cos 1 c. sin 0, cos 1. Find the exact value of the trigonometric functions sin 1 and sin. a. sin 1 1, sin 0 b. sin 1 1, sin 1 c. sin 1 0, sin 1 8. Find the exact values of the trigonometric functions sin 9 4 and cos 9 4. a. sin 9 4,cos9 4 b. sin 9 4 1,cos9 4 c. sin 9 4,cos Find the exact values of the trigonometric functions sec 9 and csc 1. a. sec 9 1, csc 1 1 b. sec 9 1, csc 1 1 c. sec 9 1, csc 1
3 10. Find the exact values of the trigonometric functions tan and tan 4 4. a. tan 4,tan 4 b. tan 4,tan 4 c. tan 1, tan Ê ˆ. The terminal point determined by t is 4, Find sin t, cos t, and tan t. 4. a. sint 4,cost 4,tant b. sint c. sint 4,cost 4,tant 4,cost 4,tant 1. Find the values of the trigonometric functions of t if sint a. sint b. sint c. sint,cost,tant,cott,cost,tant,cott,cost,tant,cott and the terminal point of t is in quadrant II. 1. Find the values of the trigonometric functions of t if cost and the terminal point of t is in quadrant III. 10 a. sint b. sint c. sint 4 10,cost 10,tant 4,cott ,cost 10,tant 4,cott ,cost 10,tant 4,cott 4 4
4 14. Find the values of the trigonometric functions of t if tant a. sint b. sint c. sint,cost,tant,cost,tant,cost,tant,cott,cott,cott and cost Determine whether the function 9x cosx is even, odd, or neither. a. odd b. even c. neither 1. Determine whether the function x cosx is even, odd, or neither. a. neither b. odd c. even 4
5 1. Graph the function. g(x) sinx a. d. b. e. c.
6 18. Graph the function. g(x) cosx a. c. b. d.
7 19. Find the period and graph the function. y tanx a. period d. period b. period e. period c. period
8 0. Find the exact value of the expression, if it is defined. Ê cos tan 1 Ê ˆ ˆ a. 1 b. c. 4 d. 1 e. none of these 1. Find the exact value of the expression, if it is defined. Ê Ê cot cos 1 ˆ ˆ a. 1 b. 4 c. 1 d. 1 e. none of these. Find the exact value of each expression, if it is defined. Ê sin 1 ˆ a. b. c. 4 d. 4 e. 8
9 . Find the terminal point P (x, y) and the reference number determined by t. Round the coordinates of the terminal point to the nearest hundredth, and express the reference number in terms of a. terminal point is (0.8, 0.0), reference number is b. terminal point is ( 0.8, 0.0), reference number is c. terminal point is ( 0.8, 0.0), reference number is d. terminal point is ( 0.8, 0.0), reference number is Numeric Response È 4. Find all solutions of the equation that lie in the interval ÎÍ 0,. State each answer correct to two decimal places. cosx 0.9 x = Short Answer. Each time your heart beats, your blood pressure first increases and then decreases as the heart rests between beats. The maximum and minimum blood pressures are called the systolic and diastolic pressures, respectively. Your blood pressure reading is written as systolic/diastolic. A reading of 10/80 is considered normal. A certain person's blood pressure is modeled by the function p(t) 0 1sin(10 t) where p(t) is the pressure in mmhg, at time t measured in minutes. (a) Find the period of p. period = minute (b) Find the number of heartbeats per minute. (c) Find the blood pressure reading. / (d) How does this compare to normal blood pressure? 9
10 Test1 (100 Trigonometry) Answer Section Instructor: Koshal Dahal MULTIPLE CHOICE 1. ANS: B PTS: 1. ANS: A PTS: 1. ANS: D PTS: 1 4. ANS: D PTS: 1. ANS: D PTS: 1. ANS: C PTS: 1. ANS: B PTS: 1 8. ANS: C PTS: 1 9. ANS: B PTS: ANS: C PTS: 1. ANS: C PTS: 1 1. ANS: A PTS: 1 1. ANS: B PTS: ANS: C PTS: 1 1. ANS: B PTS: 1 1. ANS: C PTS: 1 1. ANS: C PTS: ANS: D PTS: ANS: D PTS: 1 0. ANS: A PTS: 1 1. ANS: C PTS: 1. ANS: C PTS: 1. ANS: C PTS: 1 NUMERIC RESPONSE 4. ANS: 0.4 PTS: 1 SHORT ANSWER. ANS: 1 ; ; 1; 9; higher than normal PTS: 1 1
7, 48 7, 6 7, 45. Name: Class: Date: Multiple Choice Questions
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1,cost 1 1,tant 0 1,cott ,cost 0 1,tant 0. 1,cott 1 0. ,cost 5 6,tant ,cott x 2 1 x. 1 x 2. Name: Class: Date:
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