document.write( "Question 1133086: what is the simplified form of $\"what+is+the+simplified+form+of+\"$ cot^2(pi/2 -x)+1 \n" ); document.write( "

Algebra.Com's Answer #750263 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"cot%5E2%28pi%2F2+-x%29%2B1+\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "start with $\"cot%28pi%2F2+-x%29\"$ first:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "since $\"cot%28pi%2F2+-x%29=cos%28pi%2F2+-x%29%2Fsin%28pi%2F2+-x%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "we can use the formulas
\n" ); document.write( "
\n" ); document.write( " $\"cos+%28A-B%29=cos%28A%29cos%28B%29%2Bsin%28A%29sin%28B%29+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"sin%28A-B%29=sin%28A%29cos%28B%29-cos%28A%29sin%28B%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "then you have\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "since $\"cos%28pi%2F2%29=0\"$ and $\"sin%28pi%2F2%29=1\"$ we have\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"cot%28pi%2F2+-x%29=sin%28x%29+%2Fcos%28x%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"cot%28pi%2F2+-x%29=tan%28x%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "then $\"cot%5E2%28pi%2F2+-x%29=tan%5E2%28x%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and, then $\"cot%5E2%28pi%2F2+-x%29%2B1=tan%5E2%28x%29%2B1\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );