document.write( "Question 315191: Find the exact value of each of the other 5 trigonometric functions for the angle of theta (without finding theta) when sine theta is -4/5 and cosine theta < 0 \n" ); document.write( "
Algebra.Com's Answer #225497 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find the exact value of each of the other 5 trigonometric functions for the angle of theta (without finding theta) when
\n" ); document.write( "sine theta is -4/5 and cosine theta < 0
\n" ); document.write( "---
\n" ); document.write( "If cos(theta)<0 theta is in the 2nd or 3rd quadrant.
\n" ); document.write( "------------------------
\n" ); document.write( "If sin(theta) = -4/5 then y = -4 and r = 5
\n" ); document.write( "So now you know that theta is in the 3rd quadrant.
\n" ); document.write( "-------------------------
\n" ); document.write( "x = sqrt(r^2-y^2) = sqrt(25-16) = 3
\n" ); document.write( "But theta is in the 3rd quadrant so x = -3
\n" ); document.write( "===========================
\n" ); document.write( "sin = -4/5
\n" ); document.write( "cos = -3/5
\n" ); document.write( "tan = 4/3
\n" ); document.write( "---
\n" ); document.write( "csc = -5/4
\n" ); document.write( "sec = -5/3
\n" ); document.write( "ctn = 3/4
\n" ); document.write( "================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );