document.write( "Question 1048799: By expanding cos(x-60), express 7cos(X) + 8cos(x-60) in the form Rsin(x+y),where R>0 and y is acute.
\n" ); document.write( "I expanded cos(x-60) using an identity and got cos(x)cos60+sin(x)sin60 but then couldn't understand how to express that in the form Rsin(x+y).
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Algebra.Com's Answer #664389 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
\"7cos%28x%29+%2B+8cos%28x-%2260%B0%22%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"%22%22=%22%22\"\r\n" );
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document.write( "\"7cos%28x%29+%2B+8%28cos%28x%29%5E%22%22%281%2F2%29+%2B+sin%28x%29%28sqrt%283%29%2F2%29%29%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"7cos%28x%29+%2B+4cos%28x%29+%2B+4sqrt%283%29sin%28x%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"11cos%28x%29+%2B+4sqrt%283%29sin%28x%29\"\r\n" );
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document.write( "Draw a right triangle with opposite side 11 and adjacent\r\n" );
document.write( "side \"4sqrt%283%29\", and angle y\r\n" );
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document.write( "Then \r\n" );
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document.write( "And \"+y=arctan%2811%2F%284sqrt%283%29%29%29+=+%2257.79577249%B0%22\"\r\n" );
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document.write( "\"11%2F13=sin%28y%29\", \"4sqrt%283%29%2F13=cos%28y%29\"\r\n" );
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document.write( "\"11=13%2Asin%28y%29\", \"4sqrt%283%29=13%2Acos%28y%29\"\r\n" );
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document.write( "Substitute for 11 and \"4sqrt%283%29\" in\r\n" );
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document.write( "\"11cos%28x%29+%2B+4sqrt%283%29sin%28x%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"13%2Asin%28y%29cos%28x%29+%2B+13%2Acos%28y%29sin%28x%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"13%28sin%28y%29cos%28x%29%5E%22%22+%2B+cos%28y%29sin%28x%29%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"13%28sin%28y%2Bx%29%5E%22%22%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"13sin%28x%2By%29%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"13sin%28x%2B%2257.79577249%B0%22%29%29\"\r\n" );
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document.write( "Edwin
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