document.write( "Question 212348This question is from textbook Advanced Mathematics
\n" ); document.write( ": Find all angles t such that 3t is coterminal with 180 degrees and t is between 0 degrees and 360 degrees. \n" ); document.write( "
Algebra.Com's Answer #854658 by ikleyn(53937)\"\" \"About 
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\n" ); document.write( "This question is from textbook Advanced Mathematics
\n" ); document.write( "Find all angles t such that 3t is coterminal with 180 degrees and 0 <= t < 360 degrees.
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\n" ); document.write( "\n" ); document.write( "        The solution in the post by @HyperBrain is wrong from the Math point of view.\r
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\n" ); document.write( "\n" ); document.write( "        I came to bring a correct solution and to teach you in a right way.\r
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document.write( "An angle x is coterminal with 180 degrees if and only if when if is divided by 360, the remainder is 180.\r\n" );
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document.write( "So, 3t=180 (mod 360).\r\n" );
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document.write( "It means  3t = 180 + 360*k, k = 0, +/-1, +/-2, . . . (i.e., k is any integer).\r\n" );
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document.write( "In turn, it means that  t = 60 + 120*k.\r\n" );
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document.write( "Thus, t = 60 degrees (k=0),  or  t = 180 degrees (k=1)  or  t = 240 degrees (k=2).\r\n" );
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document.write( "We do not take other values of 'k', since it leads to outside of the given interval for 't'.\r\n" );
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