document.write( "Question 901044: Prove the identity:\r
\n" ); document.write( "\n" ); document.write( " (Cosx /1-sinx) - (cosx/1+sinx) =2tanx \n" ); document.write( "

Algebra.Com's Answer #546462 by lwsshak3(11628) $\"\"$ $\"About$

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Prove the identity:
\n" ); document.write( "(Cosx /1-sinx) - (cosx/1+sinx) =2tanx
\n" ); document.write( "start with left side:
\n" ); document.write( " $\"cos%28x%29%2F%281-sin%28x%29%29-cos%28x%29%2F%281%2Bsin%28x%29%29\"$
\n" ); document.write( " $\"%28cos%28x%29%281%2Bsin%28x%29%29-cos%28x%29%281-sin%28x%29%29%29%2F%281-sin%5E2%28x%29%29\"$
\n" ); document.write( " $\"%28cos%28x%29%281%2Bsin%28x%29%29-cos%28x%29%281-sin%28x%29%29%29%2F%28cos%5E2%28x%29%29\"$
\n" ); document.write( " $\"%281%2Bsin%28x%29-%281-sin%28x%29%29%29%2F%28cos%28x%29%29\"$
\n" ); document.write( "2sin(x)/cos(x)=2tan(x)
\n" ); document.write( "verified: left side=right side \n" ); document.write( "

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