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1 Practice Test 3 A Sections.4 and.5, ( ) Question 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 Question Details LarTrig [447114] Find the exact values of the sine, cosine, and tangent of the angle sin = 11 cos = 11 tan = 3 = Question Details LarTrig [447108] Find the exact values of the sine, cosine, and tangent of the angle. 105 = sin(105 ) = cos(105 ) = tan(105 ) = 3. Question Details LarTrig [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
2 4. Question Details LarTrig [446999] Write the expression as the sine, cosine, or tangent of an angle. sin 3 cos 1.4 cos 3 sin Question Details LarTrig [548193] Write the expression as the sine, cosine, or tangent of an angle. 3 3 cos cos sin sin Question Details LarTrig MI. [548131] Write the expression as the sine, cosine, or tangent of an angle. tan 0 tan tan 0 tan Question Details LarTrig [54881] Find the exact value of the expression. 3 cos cos sin sin Question Details LarTrig [548153] Find the exact value of the expression. cos 0 cos 30 + sin 0 sin Question Details LarTrig 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
3 10. Question Details LarTrig [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 LarTrig [54866] Write the trigonometric expression as an algebraic expression. sin(arctan 7x arccos x). Question Details LarTrig [446934] Write the trigonometric expression as an algebraic expression. cos(arccos x + arcsin x) 13. Question Details LarTrig [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 LarTrig [447058] Simplify the expression algebraically and use a graphing utility to confirm your answer graphically. cos 7 x 15. Question Details LarTrig [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
4 16. Question Details LarTrig [446988] Find all solutions of the equation in the interval [0, ). (Enter your answers as a commaseparated list.) 3 3 cos x + cos x = Question Details LarTrig [446084] Find all solutions of the equation in the interval [0, ). (Enter your answers as a commaseparated list.) 5 sin x + sin x = Question Details LarTrig [447347] Find the exact solutions of the equation in the interval [0, ). (Enter your answers as a commaseparated list.) sin x sin Question Details LarTrig [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 LarTrig [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
5 1. Question Details LarTrig [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 LarTrig [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 LarTrig [447115] Rewrite cos 4x in terms of cos x. 4. Question Details LarTrig [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
6 5. Question Details LarTrig [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 LarTrig [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 7. Question Details LarTrig [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 LarTrig [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
8 9. Question Details LarTrig [44619] Use the halfangle formulas to simplify the expression. 1 cos 10x 30. Question Details LarTrig [5487] Use the halfangle formulas to simplify the expression. 1 + cos 0x 31. Question Details LarTrig [446644] Use the producttosum formulas to rewrite the product as a sum or difference. sin 9θ sin 6θ 3. Question Details LarTrig [447304] Use the producttosum formulas to rewrite the product as a sum or difference. 7 cos( 9β) sin 6β 33. Question Details LarTrig [548061] Use the sumtoproduct formulas to write the sum as a product. sin 5θ sin 3θ 34. Question Details LarTrig [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
9 35. Question Details LarTrig [469163] Use the sumtoproduct formulas to rewrite the sum or difference as a product. 5 cos θ + 5 cos θ 36. Question Details LarTrig [447111] Use the sumtoproduct formulas to find the exact value of the expression. 5 sin sin Question Details LarTrig 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, ( ) Submissions Allowed: 5 Category: Homework Code: Locked: No Author: Smithies, Laura ( lsmithie@kent.edu ) Last Saved: Nov 18, :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
Practice Test Part B Chapter Sections,,3 (5477) Question 3456789034567890345678930333334353 Description This is the second of two practice tests for tests two. The other is Part A and covers.5,.6,.7 and.8.
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