Practice Test 3 A Sections.4 and.5, (11634851) Question 345678910111314151617181903456789303133334353 Description This is practice test A to help prepare for Test 3. It covers sections.4 and.5. Part B covers sections 3.1, 3. and 3.3. 1. Question Details LarTrig9.4.011. [447114] Find the exact values of the sine, cosine, and tangent of the angle. 11 11 sin = 11 cos = 11 tan = 3 = + 4 6. Question Details LarTrig9.4.015. [447108] Find the exact values of the sine, cosine, and tangent of the angle. 105 = 60 + 45 sin(105 ) = cos(105 ) = tan(105 ) = 3. Question Details LarTrig9.4.0. [548407] Find the exact values of the sine, cosine, and tangent of the angle. 5 5 sin = 5 cos = 5 tan = 1 of 9 11/0/017 01:04 PM

4. Question Details LarTrig9.4.07. [446999] Write the expression as the sine, cosine, or tangent of an angle. sin 3 cos 1.4 cos 3 sin 1.4 5. Question Details LarTrig9.4.08. [548193] Write the expression as the sine, cosine, or tangent of an angle. 3 3 cos cos sin sin 7 5 7 5 6. Question Details LarTrig9.4.03.MI. [548131] Write the expression as the sine, cosine, or tangent of an angle. tan 0 tan 80 1 + tan 0 tan 80 7. Question Details LarTrig9.4.036. [54881] Find the exact value of the expression. 3 cos cos sin sin 16 16 16 3 16 8. Question Details LarTrig9.4.038. [548153] Find the exact value of the expression. cos 0 cos 30 + sin 0 sin 30 9. Question Details LarTrig9.4.04.MI. [447077] Find the exact value of the trigonometric function given that sin u = /13 and cos v = 4/5. (Both u and v are in Quadrant II.) cos(u v) of 9 11/0/017 01:04 PM

10. Question Details LarTrig9.4.047. [446365] Find the exact value of the trigonometric expression given that sin u = 3 15 and cos v =. (Both u and v are in 5 17 Quadrant III.) cos(u + v) 11. Question Details LarTrig9.4.054. [54866] Write the trigonometric expression as an algebraic expression. sin(arctan 7x arccos x). Question Details LarTrig9.4.055. [446934] Write the trigonometric expression as an algebraic expression. cos(arccos x + arcsin x) 13. Question Details LarTrig9.4.064. [483706] Prove the identity. (Simplify at each step.) 4 sin(x + y) + 4 sin(x y) = 8 sin x cos y 4 sin(x + y) + 4 sin(x y) = 4 sin(x)cos(y) + 4 cos(x) + 4 sin(x) cos(y) = 8 sin x cos y 14. Question Details LarTrig9.4.065. [447058] Simplify the expression algebraically and use a graphing utility to confirm your answer graphically. cos 7 x 15. Question Details LarTrig9.4.070. [446510] Find all solutions of the equation in the interval [0, ). (Enter your answers as a commaseparated list.) cos(x + ) cos x = 0 3 of 9 11/0/017 01:04 PM

16. Question Details LarTrig9.4.071. [446988] Find all solutions of the equation in the interval [0, ). (Enter your answers as a commaseparated list.) 3 3 cos x + cos x = 1 4 4 17. Question Details LarTrig9.4.07. [446084] Find all solutions of the equation in the interval [0, ). (Enter your answers as a commaseparated list.) 5 sin x + sin x = 4 4 18. Question Details LarTrig9.5.007. [447347] Find the exact solutions of the equation in the interval [0, ). (Enter your answers as a commaseparated list.) sin x sin 0 19. Question Details LarTrig9.5.008. [548156] Find the exact solutions of the equation in the interval [0, ). (Enter your answers as a commaseparated list.) 9 sin x sin 9 cos x 0. Question Details LarTrig9.5.010. [54814] Find the exact solutions of the equation in the interval [0, ). (Enter your answers as a commaseparated list.) cos x + sin 0 4 of 9 11/0/017 01:04 PM

1. Question Details LarTrig9.5.01. [446605] Find the exact values of sin u, cos u, and tan u using the doubleangle formulas. sin u = 3/5, 3/ < u < sin u = cos u = tan u =. Question Details LarTrig9.5.04. [447009] Find the exact values of sin u, cos u, and tan u using the doubleangle formulas. sec u =, / < u < sin u = cos u = tan u = 3. Question Details LarTrig9.5.05. [447115] Rewrite cos 4x in terms of cos x. 4. Question Details LarTrig9.5.033. [447043] Use the halfangle formulas to determine the exact values of the sine, cosine, and tangent of the angle. 15 sin(15 ) = cos(15 ) = tan(15 ) = 5 of 9 11/0/017 01:04 PM

5. Question Details LarTrig9.5.035. [44767] Use the halfangle formulas to determine the exact values of the sine, cosine, and tangent of the angle. /8 sin 8 = cos 8 = tan 8 = 6. Question Details LarTrig9.5.037. [44616] Consider the following. cos u = 3/5, 0 < u < / (a) Determine the quadrant in which u/ lies. Quadrant I Quadrant II Quadrant III Quadrant IV (b) Find the exact values of sin(u/), cos(u/), and tan(u/) using the halfangle formulas. sin(u/) = cos(u/) = tan(u/) = 6 of 9 11/0/017 01:04 PM

7. Question Details LarTrig9.5.038. [548181] Consider the following. 7 sin u =, < u < 5 (a) Determine the quadrant in which u/ lies. Quadrant I Quadrant II Quadrant III Quadrant IV (b) Find the exact values of sin(u/), cos(u/), and tan(u/) using the halfangle formulas. sin(u/) = cos(u/) = tan(u/) = 8. Question Details LarTrig9.5.039. [446079] Consider the following. tan u = 9/40, 3/ < u < (a) Determine the quadrant in which u/ lies. Quadrant I Quadrant II Quadrant III Quadrant IV (b) Find the exact values of sin(u/), cos(u/), and tan(u/) using the halfangle formulas. sin(u/) = cos(u/) = tan(u/) = 7 of 9 11/0/017 01:04 PM

9. Question Details LarTrig9.5.041. [44619] Use the halfangle formulas to simplify the expression. 1 cos 10x 30. Question Details LarTrig9.5.04. [5487] Use the halfangle formulas to simplify the expression. 1 + cos 0x 31. Question Details LarTrig9.5.049. [446644] Use the producttosum formulas to rewrite the product as a sum or difference. sin 9θ sin 6θ 3. Question Details LarTrig9.5.050. [447304] Use the producttosum formulas to rewrite the product as a sum or difference. 7 cos( 9β) sin 6β 33. Question Details LarTrig9.5.053. [548061] Use the sumtoproduct formulas to write the sum as a product. sin 5θ sin 3θ 34. Question Details LarTrig9.5.055. [446476] Use the sumtoproduct formulas to rewrite the sum or difference as a product. cos 6x + cos x 8 of 9 11/0/017 01:04 PM

35. Question Details LarTrig9.5.056. [469163] Use the sumtoproduct formulas to rewrite the sum or difference as a product. 5 cos θ + 5 cos θ 36. Question Details LarTrig9.5.057. [447111] Use the sumtoproduct formulas to find the exact value of the expression. 5 sin 75 + 5 sin 15 37. Question Details LarTrig9.5.058.MI. [548143] Use the sumtoproduct formulas to find the exact value of the expression. cos 0 + cos 60 Assignment Details Name (AID): Practice Test 3 A Sections.4 and.5, (11634851) Submissions Allowed: 5 Category: Homework Code: Locked: No Author: Smithies, Laura ( lsmithie@kent.edu ) Last Saved: Nov 18, 017 06:17 PM EST Permission: Protected Randomization: Person Which graded: Last Feedback Settings Before due date Question Score Assignment Score Publish Essay Scores Question Part Score Mark Add Practice Button Help/Hints Response Save Work After due date Question Score Assignment Score Publish Essay Scores Key Question Part Score Solution Mark Add Practice Button Help/Hints Response 9 of 9 11/0/017 01:04 PM