document.write( "Question 856439: (tan^2 x + 1)/(tan x + cot x)
\n" ); document.write( "How do you simplify this to a single trig function using other trig identities?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #515986 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
(tan^2 x + 1)/(tan x + cot x)
\n" ); document.write( "How do you simplify this to a single trig function using other trig identities?
\n" ); document.write( "----------------------
\n" ); document.write( "sec^2/[(sin/cos) + (cos/sin)]
\n" ); document.write( "---------------------
\n" ); document.write( "(1/cos^2)/[(sin^2+cos^2)/(sin*cos)]
\n" ); document.write( "------
\n" ); document.write( "= (1/cos^2)/(1/(sin*cos))
\n" ); document.write( "------
\n" ); document.write( "= sin/cos
\n" ); document.write( "------
\n" ); document.write( "= tan(x)
\n" ); document.write( "======================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );