4. ,a lies in quadrant II, and cot B =-A 24 ,B lies in quadrant IV, find the 56. Given that tan a = 3 exact value of: a. sin (a+B) b. tan (a+B) C. sin 2a d. cos 26

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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56 a) b) c)
Use double angle or half angle formulas to find the exact value of the following.
54. cos 15°-sin' 15°
7
55. tan
12
Cos Qn5)
4
,a lies in quadrant III, and cot B =-
24
B lies in quadrant IV, find the
56. Given that tan a =
exact value of:
a. sin (a+ B)
b. tan (a+ B)
C. sin 2a
d. cos 2B
Solve each equation on the interval [0,27).
57. 2 sin 2x+ 3 = 0
58. 2 cos x + sin x = 1
59. 4cos x-2 = 0
Solve. Round answers to the nearest mile or degree.
60. A boat leaves the entrance of a harbor and travels 87 miles on a bearing of N 26° E. How
many miles north and how many miles east from the harbor has the boat traveled?
Transcribed Image Text:Use double angle or half angle formulas to find the exact value of the following. 54. cos 15°-sin' 15° 7 55. tan 12 Cos Qn5) 4 ,a lies in quadrant III, and cot B =- 24 B lies in quadrant IV, find the 56. Given that tan a = exact value of: a. sin (a+ B) b. tan (a+ B) C. sin 2a d. cos 2B Solve each equation on the interval [0,27). 57. 2 sin 2x+ 3 = 0 58. 2 cos x + sin x = 1 59. 4cos x-2 = 0 Solve. Round answers to the nearest mile or degree. 60. A boat leaves the entrance of a harbor and travels 87 miles on a bearing of N 26° E. How many miles north and how many miles east from the harbor has the boat traveled?
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