3.1 Radian Measure OBJ: Convert degree measure to radian measure Find trig values of angles expressed in radian measure.

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Presentation transcript:

3.1 Radian Measure OBJ: Convert degree measure to radian measure Find trig values of angles expressed in radian measure

Conversions Factors 360  = 2  radians 180  =  radians 1  =  _ radians 180

DEF:  Converting Between  ‘s and Radians 2. Formula: FromToMultiply By DegreesRadians  180  Convert to Radians 45  240 

EX:  Convert to radians 45  45   180  45   180  4   240   180     44 3

º   2   ,

º   0  

00  2  3  2 22 º  2 -1,0  0   2 0-1

º     4     4 4, 4,   4  4 4

00 4  2 3  4  5  4 3  2 7  4 2 2 º   2  2 3  4 1   0  8  4 4, 4, 5  7  4 6  4 4

º    6 6,

º   12  6 6, 0  6  3  2 2  3 5656  7676 4343 3  2 5  3 11  6 22

 00  6  4  3  2 2  3 3  4 5  6  7  6 5  4 4  3 3  2 5  3 7  4 11  6 22 º  3   2   2  2 3  3 3      0   11   7   3  7 

DEF:  Converting Between  ‘s and Radians 2. Formula: FromToMultiply By RadiansDegrees 180   ORReplace  With 180  Convert to degrees 11  6 5  4

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) = 

EX:  Convert to degrees 11  3 9494

EX:  Convert to degrees 11  3 11  180  3  11  180  60 3  660  99 4 9  180  4  9  180  45 4  405 

Special  ’s expressed in radians EX:  tan 2  3 EX:  csc 3  4

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