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

P 19 EX3a:  Convert 74  8 14  to decimal degrees (Unit 5 p 1) 74  8 14  = 

P22:30 Convert to Dec. Deg.(HW 5.1) 165   = 

P22: 36 Convert to DMS (HW 5.1) =  

DEF:  Converting Between  ‘s and Radians Convert to degrees  (  = 3.14)  (2  = 6.28) (180°-360°) Convert to radians 29  40  (30° =  ) 180  (3.14/6=.523 ) °  (60=  /3= 180  (90=  /2=1.57) 2. Formula: FromToMultiply By RadiansDegrees 180   DegreesRadians  180 

EX:  Find sin (74  8 14  )(Unit 5p1) sin (  ).962 sin 0 0 sin 30.5 sin sin 90 1 sin sin (sin166).25 sin 180 0

EX:Find csc(165  5109  )(Unit5p1) 1_______ sin (  ) csc 0 Ø csc 30 2 csc csc 90 1 csc csc (sin 166 =.25 or  ) csc 180 Ø

cos.514 cos cos  3.14 = cos 30°.87

cot /tan(1.3206).256

P80: 32) sin  =.2784 (HW 5.1) sin  =.2784 sin -1 sin  = sin  = sin -1 (.2784)  sin 0 0 sin 30.5

P80: 34) cot  = (HW 5.1) cot  = tan  = tan -1 tan  = tan  = tan -1 ( 1__ 1.257) º

cos s =.0581 sec s = cos s =.0581 cos -1 cos s = cos s = cos -1 (.0581) (3.14/2 = 1.571) Degree Measure cos -1 (0) 90 (90 =  /2 = 3.14/2) sec s = cos -1 cos s =cos -1 1/ s = cos -1 (1/2.1234) 1.080