# half-angle formula

III Time Remaining: 1:59:33 Abdalla Question 1 of 17 (1 point) | Question Attempt: 1 of 1 Español 14 1 2 3 4 5 6 7 00 9 10 11 12 13 Use the half-angle formula to find the exact value. cos 75°= 口口 8 ローロ Х s = Abdalla Question 2 of 17 (1 point) Question Attempt: 1 of 1 Time Remaining: 1:57:54 Español A police officer hiding between two bushes 60 ft from a straight highway sights two points, A and B. The angle from the police car to A is 64°, and the angle to point B is 73°. 60 ft 64° TUEN 73% B Part: 0/3 Part 1 of 3 (a) Find the distance between A and B. Round to the nearest foot. The distance between A and B is approximately ft. Х 3 Time Remaining: 1:57:44 Abdalla Question 2 of 17 (1 point) | Question Attempt: 1 of 1 тату Español Part 1 of 3 (a) Find the distance between A and B. Round to the nearest foot. The distance between A and B is approximately ft. Х s Part: 1 / 3 Part 2 of 3 (b) Suppose that a motorist takes 2.7 sec to pass from A to B. Using the rounded distance from part (a), find the motorist’s speed in ft/sec. Round to 1 decimal place. The motorist’s speed is approximately ft/sec. Х s = Time Remaining: 1:55:53 Abdalla Question 3 of 17 (1 point) | Question Attempt: 1 of 1 Español 14 1 = 2 3 4 5 6 7 8 9 10 11 12 13 From a point along a straight road, the angle of elevation to the top of a hill is 30°. From 270 ft farther down the road, the angle of elevation to the top of the hill is 26°. How high is the hill? Round to the nearest foot. 26° 30° 270 ft The height of the hill is approximately ft. Х s E Abdalla Question 4 of 17 (1 point) | Question Attempt: 1 of 1 Time Remaining: 1:55:25 0 1 = 2 3 4 5 6 7 8 9 Español 14 10 11 12 13 Find the exact value for the expression under the given conditions. 8 cos (a+b), sina = for a in Quadrant III and cos ß= 8 15 for ß in Quadrant II. 17 cos (a + b) = 口石 0 Х 5 = Time Remaining: 1:54:59 Abdalla Question 5 of 17 (1 point) | Question Attempt: 1 of 1 Español 14 1 = 2 3 4 5 6 7 8 9 10 11 12 13 Solve the equation on the interval [0, 21). Write numbers as integers or simplified fractions and separate multiple answers with commas. 3 cotx (2 sinx+1)=0 3 The solution set is ਰੋ 口) 0,0,… Х 5 = Time Remaining: 1:54:18 Abdalla Question 6 of 17 (1 point) | Question Attempt: 1 of 1 Español 14 1 = 2 3 4 5 6 7 8 9 10 11 12 13 Verify that the equation is an identity. Show that cos (-x)+ secx= tanx sinx. Statement Rule 口口 cos – cos(-x) + secx sin tan D cot 1 Select Rule II seco cscs Validate Х 5 Abdalla Question 7 of 17 (1 point) | Question Attempt: 1 of 1 Time Remaining: 1:53:48 1 Español 14 = 2 3 4 01 6 7 00 9 10 11 12 13 Verify that the equation is an identity. Show that (sin?0 – 1)(sec?0-1)=-sin?e. Statement Rule 口) COS (sin’e – 1) (seco – 1 sin tan cot I = I Select Rule seco csc ө Validate Х s Time Remaining: 1:53:21 Abdalla Question 8 of 17 (1 point) | Question Attempt: 1 of 1 Español 14 1 = 2 3 4 5 6 7 00 9 10 11 12 13 Use the half-angle formula to find the exact value. TC 口(石 ローロ 口口 = sin 8 Х 5 III Abdalla Question 9 of 17 (1 point) Question Attempt: 1 of 1 Time Remaining: 1:52:46 Español 14 1 = 2 3 4 5 6 7 8 9 10 11 12 13 A railroad scaling a mountain is 244 m long and rises 125 m in elevation. What is the angle of the incline to the nearest tenth of a degree? The angle of the incline is approximately Х III Time Remaining: 1:52:15 Abdalla Question 10 of 17 (1 point) | Question Attempt: 1 of 1 Español 14 1 = 2 3 4 5 6 7 00 9 10 11 12 13 Verify the identity. COS (15- x)= 31 -X 2 =- – sinx Statement Rule 口口 JT 31 COS – X cos I sin tan 2. coto seco CSC = – I Select Rule Х $ Validate III Abdalla Question 11 of 17 (1 point) | Question Attempt: 1 of 1 Time Remaining: 1:50:40 Español 14 1 = 2 3 4 5 6 7 8 9 10 11 12 13 Solve AABC subject to the given conditions, if possible. Round the measures of the angles (in degrees) to 1 decimal place if necessary. Round intermediate steps to at least four decimal places. b = 2 c=5.1 с B a = 4 Part: 0 / 3 Part 1 of 3 C=0 Х s III Abdalla Question 11 of 17 (1 point) | Question Attempt: 1 of 1 Time Remaining: 1:50:31 Español Part: 0/3 Part 1 of 3 o C= 0 Х 3 Part: 1 / 3 Part 2 of 3 B=0 Х 3 III Abdalla Question 11 of 17 (1 point) | Question Attempt: 1 of 1 Time Remaining: 1:50:23 Español Part: 1 / 3 Part 2 of 3 B=0 Х 3 Part: 2 / 3 Part 3 of 3 A = 0 Х X 3 E Abdalla Question 12 of 17 (1 point) | Question Attempt: 1 of 1 Time Remaining: 1:49:22 1 = 2 3 4 5 6 7 8 9 10 = 11 12 13 Español Information is given about AABC. Determine if the information gives one triangle, two triangles, or no triangle. Solve the resulting triangle(s). Round the lengths of sides and measures of the angles to 1 decimal place if necessary. b=4, a=6, B=18° There is no triangle that can be formed from the given information. Х s There is one unique triangle that can be formed from the given information. O A = O C = C O There are two triangles that can be formed from the given information. Triangle 1: o A ~ III Time Remaining: 1:49:18 Abdalla Question 12 of 17 (1 point) | Question Attempt: 1 of 1 Español C O There are two triangles that can be formed from the given information. Triangle 1: o A = Ca C Triangle 2: A = o u C C = Time Remaining: 1:57:36 Abdalla Question 2 of 17 (1 point) | Question Attempt: 1 of 1 Español Part 2 of 3 (b) Suppose that a motorist takes 2.7 sec to pass from A to B. Using the rounded distance from part (a), find the motorist’s speed in ft/sec. Round to 1 decimal place. The motorist’s speed is approximately ft/sec. Х s Part: 2 / 3 Part 3 of 3 (c) Determine the motorist’s speed in mph. Round to the nearest mph. The motorist’s speed is approximately mph. Х s = Abdalla Question 13 of 17 (1 point) | Question Attempt: 1 of 1 Time Remaining: 1:47:54 1 = 2 3 4 5 6 7 8 9 10 11 12 13 Español 1 Use the given information to find the exact function value. Simplify your answer as much as possible. Rationalize the denominator if necessary. sin 0 12 13 O in Quadrant IV. Part 1 of 3 (a) sin 20= : al a Х Part 2 of 3 (b) cos 20 = : 口、石 Х 5 III Abdalla Question 13 of 17 (1 point) | Question Attempt: 1 of 1 Time Remaining: 1:47:51 Español Part 2 of 3 (b) cos 20= 0/0 Х s Part 3 of 3 (c) tan 20= 금 Х 5 III Time Remaining: 1:47:06 Abdalla Question 14 of 17 (1 point) | Question Attempt: 1 of 1 Español 14 1 = 2 3 4 5 6 7 8 9 10 = 11 12 13 Use an addition or subtraction formula to find the exact value in simplest form. Rationalize your denominator, if necessary. tan(–1950) = 1 口、 X Х 3 E Time Remaining: 1:46:17 Abdalla Question 15 of 17 (1 point) | Question Attempt: 1 of 1 Solve the equation. Write numbers using integers or simplified fractions. Español 4 cos2x=2/2 Part: 0 / 2 Part 1 of 2 (a) Write the solution set for the general solution. Use n, where n is an integer. The solution set for the general solution is {x|x = 2 X = 0}. JT 8 Х 3 Part: 1 / 2 Part 2 of 2 (b) Write the solution set on the interval [0, 21). The solution set on the interval [0, 21t) is a 口口 0,0,… Continue Submit Assignment III Time Remaining: 1:45:21 Abdalla v Question 16 of 17 (1 point) | Question Attempt: 1 of 1 TU IZ 15 14 15 10 Español A 45 ft boom on a crane is attached to the crane platform at point D. A cable is attached to the end of the boom at point B and to a 12 ft A-frame at point A anchored by the counterweight. If ZBDA is 81.2°, find the length of the cable to the nearest tenth of a foot. Round intermediate steps to at least four decimal places. B A 45 ft 12 ft D The length of the cable is approximately ft. Х $ III Abdalla Question 17 of 17 (1 point) | Question Attempt: 1 of 1 Time Remaining: 1:44:55 Español 4 5 6 7 8 9 10 = 11 12 13 14 = 15 16 17 A railroad bridge in one city has a low clearance for trucks. An engineer standing 25 ft away measures a 15.9° angle of elevation from her eye level of 5.9 ft to the bottom of the bridge. If the road is flat between the engineer and the bridge, how high over the roadway is the bottom of the bridge? Round to the nearest inch. The height over the roadway of the bottom of the bridge is ft in Х s

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