Radians and Degrees•Section 4.189One reason why radians are used is that the scale is smaller than for degrees. One revolu-tion in radians is 2π≈6.283185307, which is much smaller than 360, the number of degreesin one revolution. The smaller scale makes the graphs of trigonometric functions (which wewill discuss in Chapter 5) have similar scales for the horizontal and vertical axes. Anotherreason is that often in physical applications the variables being used are in terms of arclength, which makes radians a natural choice.The default mode in most scientific calculators is to use degrees for entering angles. Onmany calculators there is a button labeled✄✂a0✁DRGfor switching between degree mode (D),radian mode (R), andgradianmode (G).1On some graphing calculators, such as the the TI-83, there is a✄✂a0✁MODEbutton for changing between degrees and radians. Make sure that yourcalculator is in the correct angle modebeforeentering angles, or your answers will likely beway off. For example,
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