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# ss_5_1 - Section 5.1 Angles and Their Measure This section...

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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 non-initial 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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## This note was uploaded on 12/11/2011 for the course MAC 1140 taught by Professor Kutter during the Fall '11 term at FSU.

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ss_5_1 - Section 5.1 Angles and Their Measure This section...

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