document.write( "Question 582697: Given Ө is an angle in standard position and its terminal side passes through the point(-3,2).
\n" ); document.write( "1)Draw a diagram that shows the angle in the coordinate axis.
\n" ); document.write( "2)Find the exact values of SinӨ,cosӨ,tanӨ,secӨ,cscӨ, and cotӨ
\n" ); document.write( "

Algebra.Com's Answer #372181 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Given Ө is an angle in standard position and its terminal side passes through the point(-3,2).
\n" ); document.write( "1)Draw a diagram that shows the angle in the coordinate axis.
\n" ); document.write( "2)Find the exact values of SinӨ,cosӨ,tanӨ,secӨ,cscӨ, and cotӨ
\n" ); document.write( "-----
\n" ); document.write( "(-3,2) is in Q2
\n" ); document.write( "----
\n" ); document.write( "tan(theta) = y/x = -3/2
\n" ); document.write( "y = 3 and x = -2 in Q2
\n" ); document.write( "------------------------
\n" ); document.write( "Solve for \"r\":
\n" ); document.write( "r = sqrt(3^2+2^2) = sqrt(13)
\n" ); document.write( "-----------------------------------
\n" ); document.write( "sin = y/r = 2/sqrt(13)
\n" ); document.write( "cos = x/r = -2/sqrt(13)
\n" ); document.write( "tan = y/x = -3/2
\n" ); document.write( "-----
\n" ); document.write( "csc = r/y = sqrt(13)/3
\n" ); document.write( "sec = r/x = -sqrt(13)/2
\n" ); document.write( "ctn = x/y = -2/3
\n" ); document.write( "============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );