document.write( "Question 1194264: Verify the identity
\n" ); document.write( "Tan (alpha sign)+ cot( beta)= tan(beta)+cot(alpha)/tan(beta) cot (alpha) \n" ); document.write( "
Algebra.Com's Answer #826406 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "alpha = \"alpha\"
\n" ); document.write( "beta = \"beta\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"tan%28alpha%29+%2B+cot%28beta%29+=+tan%28alpha%29+%2B+1%2F%28tan%28beta%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"tan%28alpha%29+%2B+cot%28beta%29+=+tan%28alpha%29+%2B+cot%28beta%29\"
\n" ); document.write( "This confirms the identity. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notes:
  • On the second step, I multiplied every term by tan(alpha) to get rid of the cot(alpha) in the denominator
  • tan(x)*cot(x) = 1
  • cot(x) = 1/( tan(x) )
  • Pay careful attention to the fact that the left hand side (LHS) stays the same the entire time. I only altered the right hand side (RHS) to transform it into the LHS.
  • There isn't a hard fast rule, but usually the idea is to start with the more complicated side and try to simplify it to match the other unaltered side.

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