document.write( "Question 918971: Find the reference number of t = 11π/7 and t = 11π/5?
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Algebra.Com's Answer #557405 by AnlytcPhil(1806)\"\" \"About 
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Find the reference number of t = 11π/7 and t = 11π/5?
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document.write( "\"expr%2811%2F7%29pi\"\"%22%22=%22%22\"\"expr%281%264%2F7%29pi\"\r\n" );
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document.write( "\"expr%2811%2F7%29pi\" 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 \"1pi\"\r\n" );
document.write( "from (1,0) to (-1,0) and since it's \"expr%281%264%2F7%29pi\",\r\n" );
document.write( "it's \"4%2F7\" 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 \"2pi\" units all the way around the unit circle and the\r\n" );
document.write( "red arc is \"expr%2811%2F7%29pi\", the green arc is \"2pi-expr%2811%2F7%29pi=expr%2814%2F7%29pi-expr%2811%2F7%29pi=expr%283%2F7%29pi=3pi%2F7\" \r\n" );
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document.write( "Answer: \"3pi%2F7\" is the reference number.\r\n" );
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document.write( "\"expr%2811%2F5%29pi\"\"%22%22=%22%22\"\"expr%282%261%2F5%29pi\"\r\n" );
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document.write( "\"expr%2811%2F5%29pi\" is positive and therefore it goes counter-clockwise.\r\n" );
document.write( "It's also more than \"2pi\", 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 \"1%2F5\" 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 \"1%2F5\" 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 \"2pi\" \r\n" );
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document.write( "Since it's \"2pi\" units all the way around the unit circle and the\r\n" );
document.write( "red arc is \"expr%2811%2F5%29pi\", the green arc is \"expr%2811%2F5%29pi-2pi=expr%2811%2F5%29pi-expr%2810%2F5%29pi=expr%281%2F5%29pi=pi%2F5\" \r\n" );
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document.write( "Answer: \"pi%2F5\" is the reference number.\r\n" );
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document.write( "Edwin
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