document.write( "Question 1092909: Hello, I need help solving this trigonometric equation. I recently posted this, but I forgot to write it as an equation. \r
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Algebra.Com's Answer #707514 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%283%2Atan%283theta%29%29%5E2\" - 27 = 0  ====>\r\n" );
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document.write( "\"%283%2Atan%283theta%29%29%5E2\" = 27 ====>\r\n" );
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document.write( "\"9%2Atan%5E2%283theta%29\" = 27  ====>  divide by 9 each side  ====>\r\n" );
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document.write( "\"tan%5E2%283theta%29\" = 3  ====>\r\n" );
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document.write( "\"tan%283theta%29\" = +/- \"sqrt%283%29\".\r\n" );
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document.write( "1)  \"tan%283theta%29\" = \"sqrt%283%29\"  ====>  \"3theta\" = \"pi%2F3\"  or  \"4pi%2F3\"  or  \"7pi%2F3\"  or  \"10pi%2F3\"  or  \"13pi%2F3\"  or  \"16pi%2F3\".\r\n" );
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document.write( "    It gives 6 different solutions for \"theta\" in the interval [0,\"2pi\"):\r\n" );
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document.write( "    \"pi%2F9\",  \"4pi%2F9\",  \"7pi%2F9\",  \"10pi%2F9\",  \"13pi%2F9\",   \"16pi%2F9\".\r\n" );
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document.write( "2)  \"tan%283theta%29\" = \"sqrt%283%29\"  ====>  \"3theta\" = \"2pi%2F3\"  or  \"5pi%2F3\"  or  \"8pi%2F3\"  or  \"11pi%2F3\"  or  \"14pi%2F3\"  or  \"17pi%2F3\".\r\n" );
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document.write( "    It gives 6 different solutions for \"theta\" in the interval [0,\"2pi\"):\r\n" );
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document.write( "    \"2pi%2F9\",  \"5pi%2F9\",  \"8pi%2F9\",  \"11pi%2F9\",  \"14pi%2F9\",   \"17pi%2F9\".\r\n" );
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document.write( "The final answer is the union of values of \"theta\" from the lists 1) and 2).\r\n" );
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