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

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

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<ul><li> Slide 1 </li> <li> 3.1 Radian Measure OBJ: Convert degree measure to radian measure Find trig values of angles expressed in radian measure </li> <li> Slide 2 </li> <li> P 19 EX3a: Convert 74 8 14 to decimal degrees (Unit 5 p 1) 74 8 14 74 + 8 60 + 14 3600 = 74.137 </li> <li> Slide 3 </li> <li> P22:30 Convert to Dec. Deg.(HW 5.1) 165 51 09 165 + 51 60 + 9 3600 = 165.853 </li> <li> Slide 4 </li> <li> P22: 36 Convert to DMS (HW 5.1) 122.6853.6853 60 = 41.118.118 60 7.08 122 41 07 </li> <li> Slide 5 </li> <li> 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 </li> <li> Slide 6 </li> <li> 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 </li> <li> Slide 7 </li> <li> EX:Find csc(165 5109 )(Unit5p1) 1_______ sin (165.853 ) 4.091 csc 0 csc 30 2 csc 60 1.2 csc 90 1 csc 120 1.2 csc 150 2 (sin 166 =.25 or ) csc 180 </li> <li> Slide 8 </li> <li> cos.514 cos.5149.870 cos 3.14 =.523 6 6 cos 30.87 </li> <li> Slide 9 </li> <li> cot 1.3206 1/tan(1.3206).256 </li> <li> Slide 10 </li> <li> 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 </li> <li> Slide 11 </li> <li> 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) 38.504 </li> <li> Slide 12 </li> <li> 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 </li> </ul>

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