document.write( "Question 1198034: Could you please help me with this question? \r
\n" ); document.write( "\n" ); document.write( "Write sin t in terms of sec t ; quadrant IV\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "[ request to tutors: I am confused about whether we have a positive or negative sign in such problems. If you could please explain the steps I would greatly appreciate it] \n" ); document.write( "

Algebra.Com's Answer #831535 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "\r\n" );
document.write( "You should memorize \r\n" );
document.write( "\r\n" );
document.write( "1. All trig ratios are positive in quadrant I\r\n" );
document.write( "\r\n" );
document.write( "2. Only the SINE and its reciprocal, the COSECANT, are positive in quadrant II.\r\n" );
document.write( "All others are negative.\r\n" );
document.write( "\r\n" );
document.write( "3. Only the TANGENT and its reciprocal, the COTANGENT, are positive in \r\n" );
document.write( "quadrant III.  All others are negative.\r\n" );
document.write( "\r\n" );
document.write( "4. Only the COSINE and its reciprocal, the SECANT, are positive in quadrant IV.\r\n" );
document.write( "All others are negative.\r\n" );
document.write( "\r\n" );
document.write( "Some students find it helpful to remember the sentence \r\n" );
document.write( "\r\n" );
document.write( "\"ALL STUDENTS TAKE CALCULUS.\"\r\n" );
document.write( "\r\n" );
document.write( "to remember  ALL, SINE, TANGENT, COSINE.  Then you know their reciprocals also\r\n" );
document.write( "have the same signs.\r\n" );
document.write( "\r\n" );
document.write( "The formulas for one trig ratio in terms of another trig ratio are different\r\n" );
document.write( "for each quadrant. You were given quadrant IV. We begin by using ±, then we'll\r\n" );
document.write( "figure out which sign we will use for quadrant IV.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now we make sure that we pick the right sign.\r\n" );
document.write( "In quadrant IV the sine and the secant have OPPOSITE signs.  So therefore, we\r\n" );
document.write( "use the negative sign in front. So the answer for quadrant IV is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "

\n" );