please check attachment for full testThe Summary of Formulas and Trigonometric Tables from the Appendix is included for your use during the test.____ 1.a.What is the phase shift of y = cos (x + )? to the rightb.c.d.to the leftto the leftto the right____ 2.____ 3.____ 4.Between what values of x is cos x a increasing function?Betweenx=(2n–1) and1n ,wherenisanyinteger.Between x = 2n and 2n, where n is any integer.Betweenx=(2n and2n–1 ),wherenisanyinteger.Betweenx=(2n–1) and2n ,wherenisanyinteger.Find the inverse of h = {(5,1), (4, 8), (3, 7), (9, 3)}.{(5,1), (4, 8), (3, 7), (9, 3)}{(1, 5), (8, 4), (7, 3), (3, 9)}{(5, 4), (3, 9), (8, 7), (1, 3)}{(4, 5), (3, 8), (1, 9), (3, 3)}Express the algebraic sum of sin 4x − sin x as a product.2cos5xsin3x2cos4xsin2xc.d.____ 5.____ 6.____ 7.____ 8.Evaluate sin 54° cos 9° – cos 54° sin 9°. What is the value? a.b.c. 0.8910 d. 0.4540Express the following product as an algebraic sum: cos28°cos34° a. 2[cos62° + cos6°]b.c.d. cos62° + cos6°[cos31° + cos12°] [cos62° + cos6°]Findthesolutionsetof0≤x<2 intheinterval1−cosx=sinx. a. { ,2 }b.c. {0,2 } d. 0Give the size and direction of the phase shift of the second equation relative to the first equation. y = 3 sin4x; y=3sin(4x–2 )a.b.c.d.{0, }to the leftto the rightto the leftto the right____ 9.Find the amplitude of the equation: .12c.d. −1____ 10.a.____ 11.____ 12.. What is the second step equal to?tan(44° + 16°)tan(44° − 16°) mthh044059_52_hassan_omar.pdf Unformatted Attachment Preview Course Name: Precalculus: Trigonometry Student: Omar Hassan Course ID: MTHH044059 ID: E93324820 Submittal: 52 Progress Test 2 Progress Test 2 (Evaluation 52) covers the course materials that were assigned in Units 3 and 4. Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book test. You may not have access to notes or any of the course materials while you are taking the test. You may also use your graphing calculator on this test. The Summary of Formulas and Trigonometric Tables from the Appendix is included for your use during the test. ____ 1. ____ 2. ____ 3. What is the phase shift of y = cos (x + a. to the right b. to the left c. to the left d. to the right Between what values of x is cos x a increasing function? a. Between x = (2n – 1) b. Between x = 2n c. Between x = (2n d. Between x = (2n – 1) and 1n , where n is any integer. and 2n, where n is any integer. and 2n – 1 ), where n is any integer. and 2n , where n is any integer. Find the inverse of h = {(5,1), (4, 8), (3, 7), (9, 3)}. a. b. c. d. ____ 4. )? {(5,1), (4, 8), (3, 7), (9, 3)} {(1, 5), (8, 4), (7, 3), (3, 9)} {(5, 4), (3, 9), (8, 7), (1, 3)} {(4, 5), (3, 8), (1, 9), (3, 3)} Express the algebraic sum of sin 4x − sin x as a product. a. b. c. d. 2cos5xsin3x 2cos4xsin2x ____ 5. Evaluate sin 54° cos 9° – cos 54° sin 9°. What is the value? a. b. c. d. ____ 6. 0.8910 0.4540 Express the following product as an algebraic sum: cos28°cos34° a. b. 2[cos62° + cos6°] [cos31° + cos12°] c. d. ____ 7. ____ 8. ____ 9. [cos62° + cos6°] cos62° + cos6° Find the solution set of 0 ≤ x < 2 a. { ,2 } b. {0, c. {0, 2 } d. 0 in the interval 1 − cos x = sin x. } Give the size and direction of the phase shift of the second equation relative to the first equation. y = 3 sin4x; y = 3 sin(4x – 2 ) a. to the left b. to the right c. to the left d. to the right Find the amplitude of the equation: a. b. c. 1 2 d. −1 . ____ 10. . What is the second step equal to? a. b. c. d. tan(44° + 16°) tan(44° − 16°) ____ 11. Find the solution set of each equation in the interval: 0 ≤ x < 2 . sin x + csc x – 2 = 0 a. b. c. d. {0} { 0, } ____ 12. What is the period of the graph of y = cos (x + a. – b. 2 )? c. d. ____ 13. Given , which is in quadrant I, find a. b. c. d. ____ 14. Find the exact value of tan(–15°). a. − b. c. d. − . ____ 15. Construct one period of the graph of the equation y = cos (x + a. b. c. d. ____ 16. Given a. b. c. d. –2 , which is in quadrant II, find . ). Start at x = 0. ____ 17. What are the extreme values of ____ 18. a. b. c. 3 and −3 2 and −2 d. 1 and −1 ? Construct one period of the graph of the equation . Start at x = 0. a. b. c. d. ____ 19. sin65°cos20° – cos65°sin20°. What is the second step equal to? a. b. c. d. cos (65° – 20°) cos (65° + 20°) sin (65° + 20°) sin (65° – 20°) ____ 20. Evaluate the expression: a. b. –2 c. d. ____ 21. 2 Evaluate the expression: a. b. c. d. −2 ____ 22. Construct one period of the graph of the equation y = sec x. Start at x = 0. a. b. c. d. ____ 23. What is another identity you would use to convert: ? a. b. c. d. ____ 24. Given: , angle A is in Quadrant I and angle B is in Quadrant II. Find the values of the following: sin 2A a. b. c. d. 1 ____ 25. Find the solution set of each equation in the interval: 0 ≤ x < 2 . a. b. { } c. {2 } d. ____ 26. Find the solution set of each equation in the interval: 0 ≤ x < 2 . cos2x + cos x = 0. a. b. c. d. ____ 27. What is the variation of the function y = tan Θ; a. b. c. d. increases from 0 to 1 increases through all negative values to 0 decreases through all positive values to 1 decreases from 0 to −1 ____ 28. Evaluate the expression sin[2sin-1(1/3)]. a. b. c. d. ____ 29. Evaluate the following expression: a. b. c. d. to 2 ? ____ 30. Evaluate the expression a. b. c. d. ____ 31. Reduce sin 40° cos 40° to a single function of one angle. a. b. c. sin 80° d. cos 80° ____ 32. What is the period of the graph of a. ? 4 b. c. d. 2 ____ 33. Express a. as a function of twice the given angle. sin 2 b. c. sin 4 d. sin ____ 34. Find the exact value of cos(–15°). a. b. c. d. ____ 35. What is one identity you could use to convert the LHS: a. b. c. d. ____ 36. Given , which is in quadrant I, find . a. b. c. d. ____ 37. What is the period of the graph of y = cot x? a. b. c. d. 2 ____ 38. What are the extreme values of y = cos (x + a. b. 1 and – 1 and – c. and – d. 2 and –2 ____ 39. Given a. b. c. d. )? , which is in quadrant II, find . ? ____ 40. Given: , angle A is in Quadrant I and angle B is in Quadrant II. Find the values of the following: a. b. 7 c. d. ____ 41. Given: , angle A is in Quadrant III and angle B is in Quadrant I. Find the values of the following: tan (A – B) = a. b. c. d. ____ 42. Evaluate the expression a. b. . 1 c. d. 0 ____ 43. Find the inverse of a. b. c. d. . y = −x y = x2 y=x x = y2 ____ 44. Reduce the following expression to a single function of one angle: cos(45° + A) + cos(45° − A). a. b. c. d. ____ 45. Given , which is in quadrant II, find . a. b. c. d. ____ 46. Evaluate 2 sin 67.5° cos 67.5°. What is the value? a. b. 0.5556 c. d. 0.8315 ____ 47. Find the solution set of each equation in the interval: 0 ≤ x < 2 . sec x = 3 – 2 cos x a. b. c. d. ____ 48. Graph the inverse of the following: f(x) = 3x − 4. a. b. c. d. ____ 49. Give the extreme values of the function a. b. c. . 2 and −2 1 and −1 d. ____ 50. Given: tan A = , and cos B = , for A and B in quadrant III. Find the values of the following: sin (A + B) a. b. c. d. Carefully review your answers on this progress test and make any corrections you feel are necessary. When you are satisfied that you have answered the questions to the best of your ability, transfer your answers to the online test submission page in the presence of your proctor. The University of Nebraska is an equal opportunity educator and employer. ©2019, The Board of Regents of the University of Nebraska. All rights reserved. Precalculus 2: Trigonometry Summary of Formulas Functions of the sum and difference of two angles: cos (A – B) = cos A cos B + sin A sin B cos (A + B) = cos A cos B – sin A sin B sin (A + B) = sin A cos B + cos A sin B sin (A – B) = sin A cos B – cos A sin B tan A + tan B tan (A + B) = 1 – tan A tan B tan A – tan B tan (A – B) = 1 + tan A tan B Functions of twice an angle (double-angle formulas): cos 2A = cos2 A – sin2 A = 1 – 2 sin2 A = 2 cos2 A – 1 sin 2A = 2 sin A cos A tan 2A = 2 tan A 1 – tan2 A Functions of half an angle (half-angle formulas): Tables MTHH 044 Product formulas: 2 sin A cos B = sin (A + B) + sin (A – B) 2 cos A sin B = sin (A + B) – sin (A – B) 2 cos A cos B = cos (A + B) + cos (A – B) 2 sin A sin B = cos (A – B) – cos (A + B) Sum formulas: Tables Included in this section are three sets of tables. The first is the Table of Trigonometric Functions for angles written in degrees. The second is the Table of Trigonometric Functions for angles written in radians. The third table is a table of Logarithmic Functions. Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Table 3 - Logarithms of Numbers Tables MTHH 044 Tables MTHH 044 ... Purchase answer to see full attachment