document.write( "Question 594183: find solutions of \"sqrt%283%29cos%28x%29%2Bsin%28x%29=1\", on the interval[0,2\"pi\") \n" ); document.write( "
Algebra.Com's Answer #376677 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%283%29cos%28x%29%2Bsin%28x%29\" = \"1\"
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document.write( "Use the identity\r\n" );
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document.write( "\"A%2Acos%28theta%29+%2B+B%2Asin%28theta%29\" = \"sqrt%28A%5E2%2BB%5E2%29%2Asin%28theta%2Balpha%29\", where \"tan%28alpha%29=A%2FB\" and \"A+%3E+0\", \"B+%3E+0\"\r\n" );
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document.write( " \"A=sqrt%283%29\", \"B+=+1\", \r\n" );
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document.write( "\"tan%28alpha%29=A%2FB\"\r\n" );
document.write( "\"tan%28alpha%29=sqrt%283%29%2F1\"\r\n" );
document.write( "\"alpha=%2260%B0%22=pi%2F3\"\r\n" );
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document.write( "\"sqrt%283%29cos%28x%29%2Bsin%28x%29\" = \"1\"\r\n" );
document.write( "\"sqrt%28A%5E2%2BB%5E2%29%2Asin%28theta%2Balpha%29\" = \"1\" \r\n" );
document.write( "\"2sin%28theta%2Bpi%2F3%29\" = \"1\"\r\n" );
document.write( "\"sin%28theta%2Bpi%2F3%29\" = \"1%2F2\"\r\n" );
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document.write( "\"theta%2Bpi%2F3\" = \"pi%2F6\", \"5pi%2F6\", \"13pi%2F6\", \"17pi%2F6\"\r\n" );
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document.write( "\"theta\" = \"pi%2F6-pi%2F3\", \"5pi%2F6-pi%2F3\", \"13pi%2F3-pi%2F3\", \"17pi%2F6-pi%2F3\"\r\n" );
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document.write( "\"theta\" = \"pi%2F6-2pi%2F6\", \"5pi%2F6-2pi%2F6\", \"13pi%2F6-2pi%2F6\", \"17pi%2F6-2pi%2F6\"\r\n" );
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document.write( "\"theta\" = \"cross%28-pi%2F6%29\", \"3pi%2F6\", \"11pi%2F6\", \"15pi%2F6\"\r\n" );
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document.write( "\"theta\" =   \"pi%2F2\", \"11pi%2F6\", \"cross%285pi%2F2%29\"\r\n" );
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document.write( "\"theta\" =   \"pi%2F2\", \"11pi%2F6\"\r\n" );
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document.write( "Edwin

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