document.write( "Question 986632: Suppose sin t =
\n" ); document.write( "4/7
\n" ); document.write( " and cos t < 0. Find each of the following (exact values): \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "cos t =
\n" ); document.write( "tan t =
\n" ); document.write( "csc t =
\n" ); document.write( "sec t =
\n" ); document.write( "cot t =\r
\n" ); document.write( "\n" ); document.write( "Please explain\r
\n" ); document.write( "\n" ); document.write( "Thank you \n" ); document.write( "
Algebra.Com's Answer #607439 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Suppose sin t =
\n" ); document.write( "4/7
\n" ); document.write( " and cos t < 0. Find each of the following (exact values): \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "cos t =
\n" ); document.write( "tan t =
\n" ); document.write( "csc t =
\n" ); document.write( "sec t =
\n" ); document.write( "cot t =\r
\n" ); document.write( "\n" ); document.write( "Please explain\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "
I'll do the first
\n" );
document.write( "Since sin (t) > 0, and cos (t) < 0, angle t is in the 2nd quadrant
\n" );
document.write( "\"sin+%28t%29+=+O%2FH+=+4%2F7\"
\n" );
document.write( "\"A%5E2+=+H%5E2+-+O%5E2\"
\n" );
document.write( "\"A%5E2+=+7%5E2+-+4%5E2\"
\n" );
document.write( "\"A+=+sqrt%287%5E2+-+4%5E2%29\"
\n" );
document.write( "\"A+=+sqrt%2849+-+16%29\"
\n" );
document.write( "\"A+=+sqrt%2833%29\", but since cos < 0, \"A+=+-+sqrt%28+33%29\"
\n" );
document.write( "\"highlight_green%28cos+%28t%29+=+%28-+A%29%2FH+=+%28-+sqrt%2833%29%29%2F7%29\"  
\n" );
document.write( "You now know A, O, and H, and so you should be able to find the other 4 trig. functions, remembering that: csc will be positive, while sec, tan, and cotan will be negaive \n" );
document.write( "
\n" );