document.write( "Question 803454: what angles in between pi and 2pi satisfy the equation cos(4x)=0 \n" ); document.write( "
Algebra.Com's Answer #484357 by Edwin McCravy(20064)\"\" \"About 
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document.write( "cos(4x)=0\r\n" );
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document.write( "The angles with cosine 0 are all the odd multiples of \"pi%2F2\"\r\n" );
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document.write( "4x = \"%282n%2B1%29pi%2F2\"\r\n" );
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document.write( " x = \"%282n%2B1%29pi%2F2\"÷4\r\n" );
document.write( " x = \"%282n%2B1%29pi%2F2\"\"%22%22%2A%22%22\"\"1%2F4\"\r\n" );
document.write( " x = \"%282n%2B1%29pi%2F8\" \r\n" );
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document.write( " \"pi%3C=%282n%2B1%29pi%2F8%3C=2pi\"\r\n" );
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document.write( "Divide all three sides by p\r\n" );
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document.write( " \"1%3C=%282n%2B1%29%2F8%3C=2\"\r\n" );
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document.write( "Multiply all three sides by 8 to clear of fractions:\r\n" );
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document.write( " \"8%3C=2n%2B1%3C=16\"\r\n" );
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document.write( "Subtract 1 from all three sides\r\n" );
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document.write( " \"7%3C=2n%3C=15\"\r\n" );
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document.write( "Divide all three sides by 2\r\n" );
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document.write( " \"3.5%3C=n%3C=7.5\"\r\n" );
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document.write( "Since n is an integer\r\n" );
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document.write( "  \"4%3C=n%3C=7\", \r\n" );
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document.write( "  n ∈ {4,5,6,7}\r\n" );
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document.write( "Answers:  x = \"%282%284%29%2B1%29pi%2F8\" = \"%288%2B1%29pi%2F8\" = \"9pi%2F8\" \r\n" );
document.write( "          x = \"%282%285%29%2B1%29pi%2F8\" = \"%2810%2B1%29pi%2F8\" = \"11pi%2F8\" \r\n" );
document.write( "          x = \"%282%286%29%2B1%29pi%2F8\" = \"%2812%2B1%29pi%2F8\" = \"13pi%2F8\" \r\n" );
document.write( "          x = \"%282%287%29%2B1%29pi%2F8\" = \"%2814%2B1%29pi%2F8\" = \"15pi%2F8\" \r\n" );
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document.write( "Edwin
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