document.write( "Question 752542: I'm having a huge problem proving this Trig Identity;\r
\n" ); document.write( "\n" ); document.write( "(secx)/(sinx) - (sinx)/(cosx) = cotx\r
\n" ); document.write( "\n" ); document.write( "Please help
\n" ); document.write( "

Algebra.Com's Answer #457818 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"%28sec%28x%29%2Fsin%28x%29%29+-+%28sin%28x%29%2Fcos%28x%29%29+=+cot%28x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( ".....since \"1%2F%28sinx%29=csc%28x%29\" and \"%28sin%28x%29%29%2F%28cos%28x%29%29+=+tan%28x%29\", we will have\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sec%28x%29csc%28x%29+-+tan%28x%29+=+cotx\"........since \"sec%28x%29+=+1+%2F+cos%28x%29\" => \"cos%28x%29+=+1+%2F+sec%28x%29\", then \"tan%28x%29=sec%28x%29sin%28x%29\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sec%28x%29csc%28x%29+-+sec%28x%29sin%28x%29+=+cot%28x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sec%28x%29%28csc%28x%29+-+sin%28x%29%29+=+cot%28x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sec%28x%29%28csc%28x%29+-+sin%28x%29%29+=+cot%28x%29\"........since \"csc%28x%29+-+sin%28x%29=cos%28x%29cot%28x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sec%28x%29cos%28x%29cot%28x%29+=+cot%28x%29\"........again \"sec%28x%29+=+1+%2F+cos%28x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%281+%2F+cos%28x%29%29cos%28x%29cot%28x%29+=+cot%28x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%281+%2F+cross%28cos%28x%29%29%29cross%28cos%28x%29%29cot%28x%29+=+cot%28x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"cot%28x%29+=+cot%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );