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Which of the following is equal to sin(317/6)? b. 4 d. 4 a. 0 C. е. 1 f. g. 2 h. i. -1 Hint: Try to write 31x as a multiple of a plus or minus an angle you see on the unit circle.

Which of the following is equal to sin(317/6)? b. 4 d. 4 a. 0 C. е. 1 f. g. 2 h. i. -1 Hint: Try to write 31x as a multiple of a plus or minus an angle you see on the unit circle.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 48E
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(1) To the right you see a sector of area 4 in a circle of unknown radius with an angle of measure 0.5 radians (not drawn to scale) What is the radius? area = 4 8 = 0.5 а. 1 b. т с. 2т d. 2 e. f. g. 4n h. 4 е. (2) A gear of radius 3 cm is spinning at 72 degrees per minute. At what linear speed is a point on the edge of the circle spinning? (in cm per minute) a. 1 b. A c. d. e. 216 f. 2167 g. 108 h. 1087 Hint: start by converting to radians.
Transcribed Image Text:(1) To the right you see a sector of area 4 in a circle of unknown radius with an angle of measure 0.5 radians (not drawn to scale) What is the radius? area = 4 8 = 0.5 а. 1 b. т с. 2т d. 2 e. f. g. 4n h. 4 е. (2) A gear of radius 3 cm is spinning at 72 degrees per minute. At what linear speed is a point on the edge of the circle spinning? (in cm per minute) a. 1 b. A c. d. e. 216 f. 2167 g. 108 h. 1087 Hint: start by converting to radians.
Which of the following is equal to sin(317/6)? d. a. 0 b. c. е. 1 f. g. h. =4 i. -1 Hint: Try to write 1 as a multiple of a plus or minus an angle you see on the 31x unit circle. (4) An angle 0 lies in quadrant 4 and satisfies sin(0) = . Which of the following might be cos(0)? a. 22 d. =2 e. f. Hint use the Pythagorean identity (sin (0) + cos?(0) = 1) and the quadrant infor- b. с. 3 mation to determine cosine.
Transcribed Image Text:Which of the following is equal to sin(317/6)? d. a. 0 b. c. е. 1 f. g. h. =4 i. -1 Hint: Try to write 1 as a multiple of a plus or minus an angle you see on the 31x unit circle. (4) An angle 0 lies in quadrant 4 and satisfies sin(0) = . Which of the following might be cos(0)? a. 22 d. =2 e. f. Hint use the Pythagorean identity (sin (0) + cos?(0) = 1) and the quadrant infor- b. с. 3 mation to determine cosine.
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