Stitz-Zeager_College_Algebra_e-book

Stitz-Zeager_College_Algebra_e-book

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Unformatted text preview: s worth mentioning that we could have plotted the angles in Example 10.1.3 by first converting them to degree measure and following the procedure set forth in Example 10.1.2. While converting back and forth from degrees and radians is certainly a good skill to have, it is best that you learn to ‘think in radians’ as well as you can ‘think in degrees.’ The authors would, however, be derelict in our duties if we ignored the basic conversion between these systems altogether. Since one revolution counter-clockwise measures 360◦ and the same angle measures 2π radians, we can radians use the proportion 2π 360◦ , or its reduced equivalent, π radians , as the conversion factor between 180◦ the two systems. For example, to convert 60◦ to radians we find 60◦ π radians = π radians, or 180◦ 3 ◦ π simply 3 . To convert from radian measure back to degrees, we multiply by the ratio π 180 . For radian ◦ π 180 π example, − 56 radians is equal to − 56 radians π radians = −15...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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