1. 3.1 Radian Measure OBJ: Convert degree measure to radian measure Find trig values of angles expressed in radian measure

2. P 19 EX3a:  Convert 74  8 14  to decimal degrees (Unit 5 p 1) 74  8 14  74 + 8 60 + 14 3600 = 74.137 

3. P22:30 Convert to Dec. Deg.(HW 5.1) 165  51 09  165 + 51 60 + 9 3600 = 165.853 

4. P22: 36 Convert to DMS (HW 5.1) 122.6853.6853 60 = 41.118.118 60 7.08 122  41 07 

5. DEF:  Converting Between  ‘s and Radians Convert to degrees 4.2 180  (  = 3.14)  (2  = 6.28) 240.642(180°-360°) Convert to radians 29  40  (30° =  ) 180  6.518 (3.14/6=.523 ) 74.9162°  (60=  /3= 180  1.047 1.308(90=  /2=1.57) 2. Formula: FromToMultiply By RadiansDegrees 180   DegreesRadians  180 

6. EX:  Find sin (74  8 14  )(Unit 5p1) sin (74.137  ).962 sin 0 0 sin 30.5 sin 60.87 sin 90 1 sin 120.87 sin 150.5 (sin166).25 sin 180 0

7. EX:Find csc(165  5109  )(Unit5p1) 1_______ sin (165.853  ) 4.091 csc 0 Ø csc 30 2 csc 60 1.2 csc 90 1 csc 120 1.2 csc 150 2 (sin 166 =.25 or  ) csc 180 Ø

8. cos.514 cos.5149.870 cos  3.14 =.523 6 6 cos 30°.87

9. cot 1.3206 1/tan(1.3206).256

10. P80: 32) sin  =.2784 (HW 5.1) sin  =.2784 sin -1 sin  = sin -1.2784  = sin -1 (.2784) 16.165  sin 0 0 sin 30.5

11. P80: 34) cot  = 1.257 (HW 5.1) cot  = 1.257 tan  = 1 1.257 tan -1 tan  = tan -1 1 1.257  = tan -1 ( 1__ 1.257) 38.504º

12. cos s =.0581 sec s = 2.1234 cos s =.0581 cos -1 cos s = cos -1.0581 s = cos -1 (.0581) 1.513 (3.14/2 = 1.571) Degree Measure cos -1 (0) 90 (90 =  /2 = 3.14/2) sec s = 2.1234 cos -1 cos s =cos -1 1/2.1234 s = cos -1 (1/2.1234) 1.080