document.write( "Question 728076: Assume
\n" ); document.write( "3 cos(x) − 4 sin(x) = −3\r
\n" ); document.write( "\n" ); document.write( "and
\n" ); document.write( "4 cos(x) + 3 sin(x )= 4\r
\n" ); document.write( "\n" ); document.write( "Find the exact (numeric) value of cot(x). \n" ); document.write( "
Algebra.Com's Answer #445302 by lwsshak3(11628)\"\" \"About 
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Assume
\n" ); document.write( "3 cos(x) − 4 sin(x) = −3
\n" ); document.write( "and
\n" ); document.write( "4 cos(x) + 3 sin(x )= 4
\n" ); document.write( "Find the exact (numeric) value of cot(x).
\n" ); document.write( "***
\n" ); document.write( "3 cos(x) − 4 sin(x) = −3
\n" ); document.write( "4 cos(x) + 3 sin(x )= 4
\n" ); document.write( "..
\n" ); document.write( "multiply first equation by 4 and second equation by 3
\n" ); document.write( "12 cos(x) − 16 sin(x) = −12
\n" ); document.write( "12 cos(x) + 9 sin(x )= 12
\n" ); document.write( "subtract
\n" ); document.write( "12 cos(x) − 16 sin(x) = −12
\n" ); document.write( "12 cos(x) + 9 sin(x )= 12
\n" ); document.write( "-25sin(x)=-24
\n" ); document.write( "sin(x)=24/25=opposite side/hypotenuse
\n" ); document.write( "adjacent side=√(25^2-24^2)=√49=7
\n" ); document.write( "cot(x)=adjacent side/opposite side=7/24 \n" ); document.write( "
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