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Unformatted text preview: Section 5.1 Angles and Their Measure This section contains basic information on measurement and conversion of angles. This information is needed to study trigonometric functions. Terms Describing Angles: initial side (one side of an angle; usually the horizontal side) terminal side (the noninitial side of an angle) vertex of an angle (intersection of sides of an angle) positive angle (rotation of terminal side is counterclockwise) negative angle (rotation of terminal side is clockwise) one degree equals 1 360 of a complete revolution 360 degrees in one complete revolution right angle (90 o ) straight angle (180 o ) acute angle (0 < angle < 90 ) one minute , written 1 , equals 1 60 of a degree one second , written 1 00 , equals 1 60 of a minute Example. 20 o 30 10 00 = 20 + 30 60 + 10 3600 20 . 5028 degrees Example. 15 . 314 o = 15 o + ( . 314)60 = 15 o + 18 . 84 = 15 o + 18 + ( . 84)60 00 = 15 o 18 50 . 4 00 Example. Convert 73 o 40 30 00 to decimal form. Solution. 73 + 40 60 + 30 60(60) = 73 + . 67 + . 008 = 73 . 685 Example. Convert 61 . 24 o to the D o M S 00 form....
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 Fall '11
 Kutter
 Algebra, Angles

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