Sunday, March 17, 2013

How do we slove reference angle problems?/How to convert between radians & degrees.


     When solving for reference angles its always best to use your unit circle. Your reference angle is between 0 and 90 degrees and you're trying to find the quickest way back to the x-axis. 
      Solving a reference angle problem can be very tricky the best way is to subtract 360° from the angle given. For example if you are given 345° and are asked to find the reference angle you do 345 - 360 and get -15. You take away the negative sign and your reference angle is 15°. Your reference angle is never negative and never more than 90°. 
      Sometimes you maybe asked to solve a reference angle in radians, which looks like 18π/3. The easiest way to solve these are to convert to degrees, solve, and then convert your answer back into radians. To convert to degree you simply divide and multiply times 180. Then to convert back you DIVIDE by 180, simplify, and add π. There's nothing to it!

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