document.write( "Question 604043: prove trigonometric identity sin(x)/1-sin(x) + sin(x)/1+sin(x)= 2tan(x)sec(x) \n" ); document.write( "

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prove trigonometric identity
\n" ); document.write( "sin(x)/1-sin(x) + sin(x)/1+sin(x)= 2tan(x)sec(x)
\n" ); document.write( "**
\n" ); document.write( "Starting with left side:
\n" ); document.write( "sin/1-sin + sin/1+sin
\n" ); document.write( "=sin(1+sin+1-sin)/(1-sin)(1+sin)
\n" ); document.write( "=2sin/(1-sin^2)
\n" ); document.write( "=2sin/(cos^2)
\n" ); document.write( "=2sin/cos*1/cos
\n" ); document.write( "=2tansec
\n" ); document.write( "verified: left side=right side \n" ); document.write( "

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