document.write( "Question 1116152: csc(3θ)=2 \n" ); document.write( "
Algebra.Com's Answer #730984 by ikleyn(52873)\"\" \"About 
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document.write( "csc(3t) = 2    literally means\r\n" );
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document.write( "\"1%2Fsin%283t%29\" = 2    and is equivalent to\r\n" );
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document.write( "sin(3t) = \"1%2F2\".\r\n" );
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document.write( "It has infinitely many solutions  in terms of 3t\r\n" );
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document.write( "3t = \"pi%2F2+%2B-+pi%2F3\" + \"2k%2Api\",  where  k is any integer  k = 0, +/-1, +/-2, . . . \r\n" );
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document.write( "or, in terms of t\r\n" );
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document.write( "t = \"pi%2F6+%2B-+pi%2F9\" + \"2k%2Api%2F3\",  where  k is any integer  k = 0, +/-1, +/-2, . . . \r\n" );
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document.write( "Answer.  The given equation has infinitely many solutions  t = \"pi%2F6+%2B-+pi%2F9\" + \"2k%2Api%2F3\",  where  k is any integer  k = 0, +/-1, +/-2, . . . \r\n" );
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