document.write( "Question 1040563: Evaluate each expression under the given conditions.\r
\n" ); document.write( "\n" ); document.write( "tan(x+y)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "given cos(x)=-(1/3) in Quadrant III
\n" ); document.write( "and sin(y) = 1/4 in Quadrant II \n" ); document.write( "

Algebra.Com's Answer #655495 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To find

, use the fact that

for all angles x (Pythagorean thm.). You already know

so you can determine sin x (note: angle x is in quadrant 3, so sin x is negative).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Do the same thing for determining cos y.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Once you have found these two values, you have enough information to determine tan x and tan y, and tan (x+y). \n" ); document.write( "

\n" );