1. Degree – Radian Conversion Prepared by Title V Staff: Daniel Judge, Instructor Ken Saita, Program Specialist East Los Angeles College EXIT BACKNEXT © 2002 East Los Angeles College. All rights reserved. Click one of the buttons below or press the enter key

2. What is the radian measure of 60  ? It was easy to determine the radian measure of 90 , 180 , 270 , and 360 . But determining the radian measures of other angles takes a little more work. EXIT BACKNEXT

3. What is the radian measure of 60  ? 1. Use the fact that 180  =  radians 2. Let x be the radian measure of 60  and create the proportion: 3. Solving for x, That is EXIT BACKNEXT

4. This procedure can be used to convert any angle in degrees to its corresponding radian measure. EXIT BACKNEXT

5. Q: What is the radian measure of -45  ? EXIT BACKNEXT

6. Answer-- EXIT BACKNEXT

7. Recall: Two angles ,  are said to be coterminal if m(  ) = m(  ) + k  360  for some integer k EXIT BACKNEXT

8. We can replace 360  with its radian measure 2 . This gives an equivalent criteria for coterminal angles: m(  ) = m(  ) + 2  k for some integer k EXIT BACKNEXT

9. Determine two positive coterminal angles for. EXIT BACKNEXT

10. m(  ) = m(  ) + 2  k Coterminal angle 1Coterminal angle 2 EXIT BACKNEXT

11. That is are coterminal angles. EXIT BACKNEXT

12. Determine two negative coterminal angles for. EXIT BACKNEXT

13. m(  ) = m(  ) + 2  k Coterminal angle 1Coterminal angle 2 EXIT BACKNEXT

14. That is are coterminal angles. EXIT BACKNEXT

15. End of Degree – Radian Conversion Title V East Los Angeles College 1301 Avenida Cesar Chavez Monterey Park, CA 91754 Phone: (323) 265-8784 Email Us At: menteprog@hotmail.com Our Website: http://www.matematicamente.org EXIT BACKNEXT