document.write( "Question 820363: Find cosine theta, if sine theta = -2/5 in quadrant 3 \n" ); document.write( "
Algebra.Com's Answer #493480 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find cosine theta, if sine theta = -2/5 in quadrant 3
\n" ); document.write( "---------
\n" ); document.write( "In QIII x and y are both negative.
\n" ); document.write( "---------
\n" ); document.write( "Since sine = y/r, y = -2 and r = 5
\n" ); document.write( "-------
\n" ); document.write( "Then x = sqrt[2^2+5^2] = sqrt[29]
\n" ); document.write( "So, x = -sqrt(29)
\n" ); document.write( "-----------------
\n" ); document.write( "Ans: cos(theta) = x/r = -sqrt(29)/5
\n" ); document.write( "----------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "======================
\n" ); document.write( "
\n" );