document.write( "Question 1022514: Find the distance between the points with polar coordinates (2, 2π/3) and (3, π/4).\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #638250 by fractalier(6550) $\"\"$ $\"About$

You can put this solution on YOUR website!
You use the law of cosines to find the distance, where a and b are the radial distances and the angle in the formula is the difference between them...here a = 2, b = 3, and theta = 2π/3 - π/4 = 5π/12
\n" ); document.write( "So we can write
\n" ); document.write( " $\"c%5E2+=+a%5E2+%2B+b%5E2+-+2ab%2AcosC+=+2%5E2+%2B+3%5E2+-+2%282%29%283%29cos%285pi%2F12%29\"$
\n" ); document.write( "and
\n" ); document.write( " $\"c%5E2+=+13+-+12%2Acos%285pi%2F12%29\"$
\n" ); document.write( " $\"c%5E2+=+9.894\"$
\n" ); document.write( "and
\n" ); document.write( "c = 3.1455 \n" ); document.write( "

\n" );