document.write( "Question 1028424: 1) Express tan t in terms of sin t, if the terminal point determined by t is in Quadrant III.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2) If cos t = −8/17 and if the terminal point determined by t is in Quadrant III,find tan t cot t + csc t.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #643638 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"cos%28t%29=-8%2F17\"$
\n" ); document.write( " $\"sin%5E2%28t%29%2Bcos%5E2%28t%29=1\"$
\n" ); document.write( " $\"sin%5E2%28t%29%2B%28-8%2F17%29%5E2=1\"$
\n" ); document.write( " $\"sin%5E2%28t%29=1-64%2F289\"$
\n" ); document.write( " $\"sin%5E2%28t%29=225%2F289\"$
\n" ); document.write( " $\"sin%28t%29=0+%2B-+15%2F17\"$
\n" ); document.write( "Since it's QIII,
\n" ); document.write( " $\"sin%28t%29%3C0\"$
\n" ); document.write( " $\"sin%28t%29=-15%2F17\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"tan%28t%29=sin%28t%29%2Fcos%28t%29\"$
\n" ); document.write( " $\"tan%28t%29=%28-15%2F17%29%2F%28-8%2F17%29\"$
\n" ); document.write( " $\"tan%28t%29=15%2F8\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"tan%28t%29cot%28t%29%2Bcsc%28t%29=1%2B1%2Fsin%28t%29\"$
\n" ); document.write( " $\"tan%28t%29cot%28t%29%2Bcsc%28t%29=1%2B1%2F%28-15%2F17%29\"$
\n" ); document.write( " $\"tan%28t%29cot%28t%29%2Bcsc%28t%29=1-17%2F15\"$
\n" ); document.write( " $\"tan%28t%29cot%28t%29%2Bcsc%28t%29=15%2F15-17%2F15\"$
\n" ); document.write( " $\"tan%28t%29cot%28t%29%2Bcsc%28t%29=-2%2F15\"$
\n" ); document.write( " \n" ); document.write( "

\n" );