document.write( "Question 949870: Find the values of all the trigonometric functions from the given information.
\n" ); document.write( "sin t=2/3, t is in quadrant II.
\n" ); document.write( "

Algebra.Com's Answer #579927 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find the values of all the trigonometric functions from the given information.
\n" ); document.write( " sin t=2/3, t is in quadrant II.
\n" ); document.write( "-----------------
\n" ); document.write( "By defintion sin = y/r
\n" ); document.write( "y = 2 and r = 3
\n" ); document.write( "-----
\n" ); document.write( "Note: x is negative and y is positive = QII
\n" ); document.write( "-----
\n" ); document.write( "x = -sqrt[r^2-y^2] = -sqrt[9-4] = -sqrt(5)
\n" ); document.write( "-------
\n" ); document.write( "sin = y/r = 2/3
\n" ); document.write( "cos = x/r = -sqrt(5)/3
\n" ); document.write( "tan = y/x = 2/-sqrt(5) = -2/sqrt(5)
\n" ); document.write( "------
\n" ); document.write( "csc = 3/2
\n" ); document.write( "sec = -3/sqrt(5)
\n" ); document.write( "cot = -sqrt(5)/2
\n" ); document.write( "=============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "--------------
\n" ); document.write( "
\n" );