document.write( "Question 197567: find the cosine of the angle formed with the coordinates (-6, 7) located in standard position \n" ); document.write( "
Algebra.Com's Answer #148152 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
find the cosine of the angle formed with the coordinates (-6, 7) located in standard position
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document.write( "Plot the point (-6,7)\r\n" );
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document.write( "Draw the radius vector, r, from the origin (0,0) to the point (-6,7). \r\n" );
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document.write( "Indicate the angle.  I'll call it \"alpha\".\r\n" );
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document.write( "Draw a vertical line perpendicular down to the x-axis, and\r\n" );
document.write( "label it \"y=7\".\r\n" );
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document.write( "Draw a horizontal line from the origin to the bottom of\r\n" );
document.write( "that line, completing a right triangle.  Label it \"x=-6\"\r\n" );
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document.write( "Now we find the length of \"r\" by the Pythagorean theorem:\r\n" );
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document.write( "\"r%5E2=x%5E2%2By%5E2\"\r\n" );
document.write( "\"r%5E2=%28-6%29%5E2%2B%287%29%5E2\"\r\n" );
document.write( "\"r%5E2=36%2B49\"\r\n" );
document.write( "\"r%5E2=85\"\r\n" );
document.write( "\"r=sqrt%2885%29\"\r\n" );
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document.write( "So we put \"r=sqrt%2885%29\" for \"r\": \r\n" );
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document.write( "Now since\r\n" );
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document.write( "\"cos%28alpha%29=x%2Fr\"\r\n" );
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document.write( "\"cos%28alpha%29=%28-6%29%2Fsqrt%2885%29\"\r\n" );
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document.write( "\"cos%28alpha%29=-6%2Fsqrt%2885%29\"\r\n" );
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document.write( "Edwin
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