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Published byRegina Sims Modified over 9 years ago
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3.1 Radian Measure OBJ: Convert degree measure to radian measure Find trig values of angles expressed in radian measure
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Conversions Factors 360 = 2 radians 180 = radians 1 = _ radians 180
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DEF: Converting Between ‘s and Radians 2. Formula: FromToMultiply By DegreesRadians 180 Convert to Radians 45 240
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EX: Convert to radians 45 45 180 45 180 4 4 240 240 180 4 240 3 180 44 3
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90 120 60 135 45 150 30 180 0 210 330 225 315 240 270 300
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90 120 60 135 45 150 30 180 0 210 330 225 315 240 270 300
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º 0 30 45 60 90 120135150180210225240270300315 330 360 0 1 1 3 90 2 2 2 2 135 120 60 45 2 2 3 1 150 30 2 2 -1,0 180 0 1 0 210330 225 315 240 300 270 0 -1
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º 0 90 180 270 360 0
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00 2 3 2 22 º 0 90 180 270 360 0 1 2 -1,0 0 1 0 3 2 0-1
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º 0 45 90 135 180 225 270 315 360 4 4 45 4 4 4, 4, 4 4 4
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00 4 2 3 4 5 4 3 2 7 4 2 2 º 0 45 90 135 180 225 270 315 360 2 2 2 3 4 1 2 2 4 45 4 4 0 8 4 4, 4, 5 7 4 6 4 4
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º 6 6 6 6 30 6 0 6 6, 6 6 6 6 6 6 03060 90 120150 180180 210240 270270 300330 360
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º 30 60 120 150 210 240 300 330 3 4 6 2 6 6 5 1 6 30 6 6 0 12 6 6, 6 7 11 6 6 8 9 10 6 6 6 00 6 3 2 2 3 5656 7676 4343 3 2 5 3 11 6 22 0 90 180270360
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00 6 4 3 2 2 3 3 4 5 6 7 6 5 4 4 3 3 2 5 3 7 4 11 6 22 º 0 30 45 60 90 120 135150 180210 225240 270 300 315 330 360 0 1 1 3 2 2 2 2 2 2 3 3 3 2 2 4 4 5 3 1 6 6 2 2 -1 0 0 1 0 7 11 6 6 5 7 4 4 4 3 7 3 2 3 0 -1
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DEF: Converting Between ‘s and Radians 2. Formula: FromToMultiply By RadiansDegrees 180 ORReplace With 180 Convert to degrees 11 6 5 4
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DEF: Converting Between ‘s and Radians 2. Formula: FromToMultiply By RadiansDegrees 180 ORReplace With 180 Convert to degrees 11 180 30 = 6 330 45 5 180 = 225 4 OR 5(180) = 5(45) = 4 225
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EX: Convert to degrees 11 3 9494
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EX: Convert to degrees 11 3 11 180 3 11 180 60 3 660 99 4 9 180 4 9 180 45 4 405
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Special ’s expressed in radians EX: tan 2 3 EX: csc 3 4
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Special ’s expressed in radians EX: tan 2 3 tan 2 180 3 60 tan 2 180 3 tan 120 - 3 EX: csc 3 4 2 2
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