document.write( "Question 918834: Find the reference number of t = 11π/7 and t = 11π/5?
\n" ); document.write( "t = 11π/7 \r
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\n" ); document.write( "\n" ); document.write( "t = 11π/5 \r
\n" ); document.write( "\n" ); document.write( "the reference number is the shortest arc length from Pt to the x-axis. \r
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\n" ); document.write( "\n" ); document.write( "What I have is I divide 11π/7 to get = (1+ 4/7)π = π + 4π/7 answer?\r
\n" ); document.write( "\n" ); document.write( "and for the second: the same 11π/5 = (2+ 1/5)π = 2π+π/5 answer?\r
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Algebra.Com's Answer #557419 by AnlytcPhil(1808) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "To find the reference number.\r\n" );
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document.write( "1. Sometimes you do nothing, because the number IS the reference number\r\n" );
document.write( "2. Sometimes you subtract from \r\n" );
document.write( "3. Sometimes you subtract  from the number\r\n" );
document.write( "4. Sometimes you subtract the number from \r\n" );
document.write( "5. Sometimes you have to subtract  1 or more time and then do one of\r\n" );
document.write( "    1,2,3,or 4\r\n" );
document.write( "5. When the number is negative sometimes you just change the sign of the number.\r\n" );
document.write( "6. Sometimes you subtract the negative number from \r\n" );
document.write( "7. Sometimes you subtract  from the number.\r\n" );
document.write( "8. Sometimes you subtract the number from \r\n" );
document.write( "etc. etc. etc.  \r\n" );
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document.write( "To find the reference number, you MUST draw the arc on the unit circle because\r\n" );
document.write( "it's different for every quadrant and direction of rotation.  if it is more than\r\n" );
document.write( " then you must subtract  for every revolution.  You can't just\r\n" );
document.write( "learn a bunch of rules.  There are too many.  You have to draw the arc each\r\n" );
document.write( "time.  Positive numbers are rotated counter-clockwise and negative numbers are rotated clockwise.  \r\n" );
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document.write( "Find the reference number of t = 11π/7 and t = 11π/5?\r\n" );
document.write( "t = 11π/7 \r\n" );
document.write( "t = 11π/5 \r\n" );
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document.write( " is positive so it's the red counter-clockwise arc\r\n" );
document.write( "around the unit circle from (1,0).  The red arc extends \r\n" );
document.write( "from (1,0) to (-1,0) and since it's ,\r\n" );
document.write( "it's  of that arc more, which is a tad more as the red arc we\r\n" );
document.write( "see below.  Then the green arc is the reference number.\r\n" );
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document.write( "Since it's  units all the way around the unit circle and the\r\n" );
document.write( "red arc is , the green arc is  \r\n" );
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document.write( "Answer:  is the reference number.\r\n" );
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document.write( "-----------\r\n" );
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document.write( " is positive and therefore it goes counter-clockwise.\r\n" );
document.write( "It's also more than , so it's more than 1 complete revolution. In \r\n" );
document.write( "fact it goes all the way around the unit circle and overlaps  of the way \r\n" );
document.write( "past (1,0) toward (-1,0). \r\n" );
document.write( "It's the red counter-clockwise arc below that goes around the unit circle from\r\n" );
document.write( "(1,0) past (-1,0) on around back to (1,0) and overlaps  of the way \r\n" );
document.write( "past where it started at (1,0). Then the green arc is the reference number.\r\n" );
document.write( "It's the arc that equals the amount which the red arc goes past 1 revolution\r\n" );
document.write( "or  \r\n" );
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document.write( "Since it's  units all the way around the unit circle and the\r\n" );
document.write( "red arc is , the green arc is  \r\n" );
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document.write( "Answer:  is the reference number.\r\n" );
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document.write( "Edwin

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