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Degree – Radian Conversion

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

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Degree – Radian Conversion

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

  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. BACK NEXT EXIT

  3. What is the radian measure of 60? 1. Use the fact that 180 =  radians2. Let x be the radian measure of 60 and create the proportion: 3. Solving for x, That is BACK NEXT EXIT

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

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

  6. Answer-- BACK NEXT EXIT

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

  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 BACK NEXT EXIT

  9. Determine two positive coterminal angles for . BACK NEXT EXIT

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

  11. That is are coterminal angles. BACK NEXT EXIT

  12. Determine two negative coterminal angles for . BACK NEXT EXIT

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

  14. That is are coterminal angles. BACK NEXT EXIT

  15. End of Degree – Radian ConversionTitle V East Los Angeles College1301 Avenida Cesar ChavezMonterey Park, CA 91754Phone: (323) 265-8784Email Us At:menteprog@hotmail.comOur Website:http://www.matematicamente.org BACK NEXT EXIT

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